Metrics for mixedcos

start0.0ms (0%)

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

analyze136.0ms (5.1%)

Memory

31.0MiB live, 123.6MiB allocated; 10ms 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
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	5
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	6
42.2%	42.1%	57.7%	0.1%	0%	0%	0%	7
49.2%	49.1%	50.7%	0.1%	0%	0%	0%	8
57.4%	57.3%	42.5%	0.1%	0%	0%	0%	9
67%	66.9%	33%	0.1%	0%	0%	0%	10
71.8%	71.7%	28.2%	0.1%	0%	0%	0%	11
76.9%	76.8%	23.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.0s (39%)

Memory

32.8MiB live, 820.3MiB allocated; 154ms collecting garbage

Samples

754.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-cos: 186.0ms (34.4% of total)

ival-pow2: 174.0ms (32.2% of total)

ival-mult!: 146.0ms (27% of total)

ival-div!: 33.0ms (6.1% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain144.0ms (5.4%)

Memory

-39.6MiB live, 152.0MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
59	0	-	1	(1.149462069272418e+274 -7.777529267575179e-162 1.2877040957870535e-167)	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`
26	0	-	0	-	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`
19	0	-	0	-	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`
4	0	-	0	-	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
0	0	-	0	-	`(pow.f64 c #s(literal 2 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	123	(2.2652620148649702e+258 -2.3805151107360715e+242 1.4627217381969128e+252)	0	-	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`s`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`x`
0	0	-	0	-	`(pow.f64 s #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	123	2
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*ou**	17	0
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	56
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	underflow	82
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	underflow	79
↳	`(pow.f64 s #s(literal 2 binary64))`	underflow	68
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*no**	15	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*uo**	14	0
↳	`(pow.f64 c #s(literal 2 binary64))`	underflow	59
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	64
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	54
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*nu**	14	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*nu**	13	0
`*.f64`	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	*no**	13	0
`*.f64`	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	*nu**	11	0
`*.f64`	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	*no**	6	0
`/.f64`	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`	n/o	4	0
↳	`(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)`	overflow	64
↳	`(pow.f64 c #s(literal 2 binary64))`	overflow	56
↳	`(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))`	overflow	73
↳	`(*.f64 x (pow.f64 s #s(literal 2 binary64)))`	overflow	59
↳	`(pow.f64 s #s(literal 2 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	87	0
-	88	81

Precision

0.49714285714285716

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	0
-	88	1	80

Precision?

0.4943181818181818

Recall?

1.0

Freqs

test

number	freq
0	81
1	127
2	41
3	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

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

ival-cos: 11.0ms (34.2% of total)

ival-pow2: 10.0ms (31% of total)

ival-mult!: 9.0ms (27.9% of total)

ival-div!: 2.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

preprocess31.0ms (1.2%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	169
1	152	163
2	491	163
3	2030	163
4	5278	163

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Symmetry

(abs x)

(abs c)

(abs s)

(sort c s)

Compiler

Compiled 32 to 24 computations (25% saved)

series33.0ms (1.2%)

Memory

-10.8MiB live, 32.6MiB allocated; 13ms collecting garbage

Counts

12 → 19

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s

Outputs
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	c	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
4.0ms	c	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms	x	@	inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms	x	@	0	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)
3.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (* 2 x) 2 x (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) c (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) s)

rewrite102.0ms (3.8%)

Memory

-11.3MiB live, 81.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	447
0	90	415
1	372	351
0	3106	339

Stop Event

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

Counts

31 → 144

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))
(pow.f64 c #s(literal 2 binary64))
c
(.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)
(*.f64 x (pow.f64 s #s(literal 2 binary64)))
(pow.f64 s #s(literal 2 binary64))
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* x (pow s 2)) x) #s(hole binary64 (* (pow s 2) (pow x 2))))
#s(approx (* x (pow s 2)) #s(hole binary64 (* (pow s 2) x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (pow c 2) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (pow s 2) #s(hole binary64 (pow s 2)))
#s(approx s #s(hole binary64 s))

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 s s)) (.f64 x x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) x) (.f64 (.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))) (neg.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (neg.f64 (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fabs.f64 (cos.f64 x)) (fabs.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 x x)
(*.f64 #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 4 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(.f64 (.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) c) c)
(.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))
(.f64 (.f64 (.f64 c c) x) (.f64 (*.f64 s s) x))
(.f64 (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x) x)
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 x x) (pow.f64 (*.f64 s c) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 s s) x) (.f64 x (*.f64 c c)))
(.f64 (.f64 s s) (.f64 (.f64 x x) (*.f64 c c)))
(.f64 (.f64 s s) (.f64 (.f64 c c) (*.f64 x x)))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 c (.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(.f64 x (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))
(pow.f64 (.f64 c (.f64 s x)) #s(literal 2 binary64))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 c) #s(literal 2 binary64))))
(*.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))
(pow.f64 c #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 1 binary64)))
c
(.f64 (.f64 (*.f64 x x) s) s)
(.f64 (pow.f64 (.f64 s x) #s(literal 1 binary64)) (pow.f64 (*.f64 s x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 s x) #s(literal 1 binary64)) (*.f64 s x))
(.f64 (.f64 s x) (*.f64 s x))
(.f64 (.f64 x x) (*.f64 s s))
(.f64 (.f64 (*.f64 s s) x) x)
(.f64 (.f64 s s) (*.f64 x x))
(.f64 s (.f64 s (*.f64 x x)))
(.f64 x (.f64 (*.f64 s s) x))
(pow.f64 (*.f64 s x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 s x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 s x) #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 s) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 s) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 s x)) #s(literal 2 binary64)))
(.f64 (.f64 s x) s)
(.f64 (.f64 s s) x)
(.f64 s (.f64 s x))
(.f64 x (.f64 s s))
(*.f64 (neg.f64 s) (neg.f64 s))
(*.f64 (fabs.f64 s) (fabs.f64 s))
(*.f64 (exp.f64 (log.f64 s)) (exp.f64 (log.f64 s)))
(*.f64 s s)
(pow.f64 (exp.f64 (log.f64 s)) #s(literal 2 binary64))
(pow.f64 (*.f64 s s) #s(literal 1 binary64))
(pow.f64 s #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 s #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 s) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 s) #s(literal 2 binary64))))
(*.f64 (pow.f64 s #s(literal 1/2 binary64)) (pow.f64 s #s(literal 1/2 binary64)))
(pow.f64 s #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 s) #s(literal 1 binary64)))
s
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 s c) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (.f64 x x))) (.f64 x x) (pow.f64 (.f64 s c) #s(literal -2 binary64))) (.f64 x x)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (pow c 2) (* (* x (pow s 2)) x)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
#s(approx (* (* x (pow s 2)) x) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
#s(approx (* x (pow s 2)) (.f64 (.f64 s s) x))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (pow c 2) (*.f64 c c))
#s(approx c c)
#s(approx (pow s 2) (*.f64 s s))
#s(approx s s)

eval17.0ms (0.6%)

Memory: 22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 363 to 686 computations (79.6% saved)

prune11.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	162	13	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	13	176

Accuracy

99.9%

Counts

176 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
▶	60.7%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
▶	88.4%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
▶	96.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
▶	97.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
	83.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
	87.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
	67.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
▶	61.1%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	62.1%	(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))
	33.5%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
	68.7%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
	50.0%	#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))

Compiler

Compiled 512 to 362 computations (29.3% saved)

series52.0ms (1.9%)

Memory

-4.7MiB live, 48.0MiB allocated; 8ms collecting garbage

Counts

30 → 68

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))
(.f64 (.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (*.f64 x x))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))
(.f64 (.f64 s x) c)
(*.f64 s x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))

Outputs
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow x 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (* (* s x) c) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
6.0ms	x	@	inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (* (* s x) c) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	x	@	-inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (* (* s x) c) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	c	@	inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (* (* s x) c) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))
5.0ms	c	@	-inf	((/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s c) x) 2) (* (* s c) x) (* s c) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/ (cos (* -2 x)) (* c c)) (cos (* -2 x)) (* -2 x) -2 (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow (* (* s x) c) 2) (* (* s x) c) (* s x) (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (* (pow (* s c) 2) x) (pow (* s c) 2))

rewrite186.0ms (7%)

Memory

-28.6MiB live, 105.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	2210
0	233	1890
1	761	1724
0	5829	1664

Stop Event

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

Counts

98 → 682

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
s
c
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))
(.f64 (.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (*.f64 x x))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))
(.f64 (.f64 s x) c)
(*.f64 s x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x)
(pow.f64 (*.f64 s c) #s(literal 2 binary64))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ 1 (* (pow c 2) (pow x 2)))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ 1 (pow c 2))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* -2 (/ (pow x 2) (pow c 2))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (pow c 2))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (pow c 2))) (* 2/3 (/ 1 (pow c 2))))) (* 2 (/ 1 (pow c 2))))) (/ 1 (pow c 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 1))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* -2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* s x) c) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) x)))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) x)))
#s(approx (* (pow (* s c) 2) x) #s(hole binary64 (* (pow c 2) (* (pow s 2) x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (* s s)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (pow x 2)))))
#s(approx (/ (cos (* -2 x)) (* c c)) #s(hole binary64 (/ (cos (* -2 x)) (pow c 2))))
#s(approx (cos (* -2 x)) #s(hole binary64 (cos (* -2 x))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) x) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) #s(hole binary64 (/ (cos (* -2 x)) (* (pow c 2) (* (pow s 2) x)))))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (pow (* s c) 2) #s(hole binary64 (* (pow c 2) (pow s 2))))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Outputs
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (neg.f64 s)) (neg.f64 s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (fabs.f64 s)) (fabs.f64 s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 s x) #s(literal 2 binary64))) (*.f64 c c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 s s)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s)) (neg.f64 s))
(/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) s) s)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c c) x)) (.f64 (*.f64 s s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (.f64 (neg.f64 s) s))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 c c)) (.f64 (.f64 (neg.f64 x) x) (.f64 s s)))
(/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 c c)) (neg.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (.f64 (neg.f64 x) (pow.f64 (*.f64 c s) #s(literal 2 binary64))) x))
(/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (neg.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (.f64 s s)))
(neg.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) x (PI.f64))) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x)) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (*.f64 (neg.f64 s) s)))
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#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (* (* c c) (* x x)) (* s s)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* s x) c) (.f64 (.f64 s x) c))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x)))
#s(approx (* (* (* c c) (* x x)) (* s s)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* c c) (* x x)) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (*.f64 c x) #s(literal -2 binary64)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c)) (*.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 c c)) (.f64 x x) (pow.f64 c #s(literal -2 binary64))) (.f64 x x)))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 c c)) (.f64 x x) (.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 c #s(literal -2 binary64))) (.f64 x x)))
#s(approx (/ (cos (* -2 x)) (* c c)) (pow.f64 c #s(literal -2 binary64)))
#s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c)))
#s(approx (/ (cos (* -2 x)) (* c c)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 c c)) (*.f64 x x) (pow.f64 c #s(literal -2 binary64))))
#s(approx (/ (cos (* -2 x)) (* c c)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 c c)) (.f64 x x) (.f64 (pow.f64 c #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x) (pow.f64 c #s(literal -2 binary64))))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x)))
#s(approx (* (* (* c c) (* x x)) (* s s)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* s x) c) (.f64 (.f64 s x) c))
#s(approx (* s x) (*.f64 s x))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) (.f64 x x)))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) x))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 c s) #s(literal -2 binary64))) x))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (.f64 x x) (.f64 (pow.f64 (.f64 c s) #s(literal -2 binary64)) #s(literal -2 binary64))) (.f64 x x) (pow.f64 (*.f64 c s) #s(literal -2 binary64))) x))
#s(approx (* (pow (* s c) 2) x) (.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) x))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 c s) #s(literal 2 binary64)) x)))
#s(approx (* s c) (*.f64 c s))
#s(approx c c)
#s(approx (* c c) (*.f64 c c))
#s(approx (pow (* s c) 2) (pow.f64 (*.f64 c s) #s(literal 2 binary64)))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval68.0ms (2.5%)

Memory: 7.1MiB live, 102.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 12 635 to 2 110 computations (83.3% saved)

prune26.0ms (1%)

Memory

5.6MiB live, 52.8MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	670	28	698
Fresh	8	0	8
Picked	5	0	5
Done	0	0	0
Total	683	28	711

Accuracy

100.0%

Counts

711 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 c x)) (.f64 s s))
	75.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c)) x)
	83.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
	75.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) s) s) x)) x)
	84.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
	41.3%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
	96.6%	(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
▶	61.1%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
▶	90.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
	93.0%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) s) (.f64 c x)))
	93.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) c) (.f64 s x)))
	72.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) x) (.f64 s s)))
▶	96.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
	67.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
	96.6%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (.f64 c x) (neg.f64 s))))
	80.4%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c s) (.f64 (.f64 c s) (.f64 x x))))
	59.2%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
	71.9%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
	38.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	37.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	64.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
	64.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
	42.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	78.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
▶	77.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
▶	53.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	78.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
	50.0%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))

Compiler

Compiled 1 058 to 772 computations (27% saved)

series35.0ms (1.3%)

Memory

13.9MiB live, 56.9MiB allocated; 7ms collecting garbage

Counts

29 → 56

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))
(.f64 (.f64 s x) c)
(*.f64 s x)
s
c
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))
(.f64 (.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s))
(.f64 (.f64 (*.f64 s x) c) x)
(*.f64 c s)

Outputs
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* s x) c) x) (* c s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s x) c) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) (* (* (* (* s x) c) x) (* c s)) (* (* (* s x) c) x) (* c s))
4.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) (* (* (* (* s x) c) x) (* c s)) (* (* (* s x) c) x) (* c s))
4.0ms	s	@	-inf	((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) (* (* (* (* s x) c) x) (* c s)) (* (* (* s x) c) x) (* c s))
3.0ms	x	@	inf	((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) (* (* (* (* s x) c) x) (* c s)) (* (* (* s x) c) x) (* c s))
3.0ms	c	@	inf	((/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) (cos (* 2 x)) 1 (* (* (* c c) (* x x)) (* s s)) (* (* c c) (* x x)) (* c c) (* x x) (* s s) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) (cos (+ x x)) (+ x x) (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) (* (* (* (* s x) c) x) (* c s)) (* (* (* s x) c) x) (* c s))

rewrite74.0ms (2.8%)

Memory

-19.3MiB live, 40.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1769
0	186	1457
0	575	1429

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

85 → 236

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))
(.f64 (.f64 s x) c)
(*.f64 s x)
s
c
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s))
(.f64 (.f64 c c) (*.f64 x x))
(*.f64 c c)
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s))
(.f64 (.f64 (*.f64 s x) c) x)
(*.f64 c s)
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* c c) (* x x)) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c c) (* x x)) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* s x) c) x) (* c s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s x) c) x) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (/ (cos (* 2 x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) c) x) (* c s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* c c) (* x x)) (* s s))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx c #s(hole binary64 c))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Outputs
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (*.f64 s s))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 c s) x)) (.f64 (*.f64 c s) x))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s x) (.f64 c x))) (*.f64 c s))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -2 binary64) x))) (neg.f64 (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 2 binary64)))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 (.f64 c s) x) (*.f64 s x)) c)
(.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s)
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(.f64 (.f64 (.f64 s x) (.f64 s x)) (*.f64 c c))
(.f64 (pow.f64 (.f64 (.f64 c s) x) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 c s) x) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (.f64 c s) x)) (neg.f64 (.f64 (*.f64 c s) x)))
(.f64 (fabs.f64 (.f64 (.f64 c s) x)) (fabs.f64 (.f64 (*.f64 c s) x)))
(.f64 (.f64 c s) (.f64 (.f64 s x) (*.f64 c x)))
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (pow.f64 (.f64 c s) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 (.f64 s x) (.f64 c (.f64 (*.f64 c s) x)))
(.f64 (.f64 (.f64 s x) (.f64 c x)) (*.f64 c s))
(.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))
(pow.f64 (.f64 (.f64 c s) x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 c s) x)) #s(literal 2 binary64)))
(.f64 (.f64 c s) x)
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eval16.0ms (0.6%)

Memory: 27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 725 to 552 computations (85.2% saved)

prune28.0ms (1%)

Memory

0.3MiB live, 45.3MiB allocated; 9ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	181	17	198
Fresh	7	16	23
Picked	3	2	5
Done	0	0	0
Total	191	35	226

Accuracy

100.0%

Counts

226 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 c x)) (.f64 s s))
	75.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c)) x)
	83.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
	75.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) s) s) x)) x)
	84.0%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
	41.3%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
	90.4%	(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s)))
	90.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s)))
	96.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
	75.0%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
	65.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
▶	87.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) (.f64 c x)) c) s))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 x c)) x) (.f64 c s)))
	94.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 s (.f64 x c))))
	67.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
▶	97.8%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
	59.2%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
	71.9%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
	59.5%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
	54.8%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
▶	59.3%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
	60.0%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
	64.5%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
	38.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	37.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
▶	64.1%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
	42.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	78.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
✓	77.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
	56.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
	59.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
✓	53.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
▶	56.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
	78.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
	50.0%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))

Compiler

Compiled 1 380 to 961 computations (30.4% saved)

series44.0ms (1.6%)

Memory

-12.1MiB live, 79.2MiB allocated; 12ms collecting garbage

Counts

39 → 74

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))
(.f64 (.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s))
(.f64 c (.f64 c (*.f64 x x)))
(.f64 c (.f64 x x))
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
#s(literal 2/3 binary64)
(.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))
(.f64 (.f64 s x) c)
(*.f64 s x)
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) (.f64 c x)) c) s))
(.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s)
(.f64 (.f64 (.f64 s x) (.f64 c x)) c)
(.f64 (.f64 s x) (*.f64 c x))
(*.f64 c x)

Outputs
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* c (* c (* x x))) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* c (* c (* x x))) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* c (* x x)) #s(hole binary64 (* c (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (* 2/3 (* x x)) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* s x) (* c x)) c) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s x) (* c x)) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* s x) (* c x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- 2/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (cos (* 2 x)) 1 (* (* c (* c (* x x))) (* s s)) (* c (* c (* x x))) (* c (* x x)) (* x x) (* s s) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (- (* 2/3 (* x x)) 2) (* 2/3 (* x x)) 2/3 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* s x) (* c x)) (* c x))
6.0ms	s	@	0	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (cos (* 2 x)) 1 (* (* c (* c (* x x))) (* s s)) (* c (* c (* x x))) (* c (* x x)) (* x x) (* s s) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (- (* 2/3 (* x x)) 2) (* 2/3 (* x x)) 2/3 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* s x) (* c x)) (* c x))
5.0ms	x	@	inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (cos (* 2 x)) 1 (* (* c (* c (* x x))) (* s s)) (* c (* c (* x x))) (* c (* x x)) (* x x) (* s s) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (- (* 2/3 (* x x)) 2) (* 2/3 (* x x)) 2/3 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* s x) (* c x)) (* c x))
5.0ms	x	@	-inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (cos (* 2 x)) 1 (* (* c (* c (* x x))) (* s s)) (* c (* c (* x x))) (* c (* x x)) (* x x) (* s s) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (- (* 2/3 (* x x)) 2) (* 2/3 (* x x)) 2/3 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* s x) (* c x)) (* c x))
4.0ms	c	@	-inf	((/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) (cos (* 2 x)) (* 2 x) 2 x (* (* (* c s) x) (* (* c s) x)) (* (* c s) x) (* c s) c s (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (cos (* 2 x)) 1 (* (* c (* c (* x x))) (* s s)) (* c (* c (* x x))) (* c (* x x)) (* x x) (* s s) (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (cos (+ x x)) (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (- (* 2/3 (* x x)) 2) (* 2/3 (* x x)) 2/3 (* (* (* s x) c) (* (* s x) c)) (* (* s x) c) (* s x) (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) (cos (* 2 x)) (+ (* (* x x) -2) 1) -2 (pow (* (* s c) x) 2) (* (* s c) x) (* s c) (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (* (* (* (* s x) (* c x)) c) s) (* (* (* s x) (* c x)) c) (* (* s x) (* c x)) (* c x))

rewrite53.0ms (2%)

Memory

4.1MiB live, 58.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	2184
0	251	1891
0	803	1867

Stop Event

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

Counts

113 → 253

Calls

Call 1

Inputs
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x))
(.f64 (.f64 c s) x)
(*.f64 c s)
c
s
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s))
(.f64 c (.f64 c (*.f64 x x)))
(.f64 c (.f64 x x))
(*.f64 x x)
(*.f64 s s)
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
#s(literal 2/3 binary64)
(.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))
(.f64 (.f64 s x) c)
(*.f64 s x)
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))
(.f64 (.f64 s c) x)
(*.f64 s c)
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) (.f64 c x)) c) s))
(.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s)
(.f64 (.f64 (.f64 s x) (.f64 c x)) c)
(.f64 (.f64 s x) (*.f64 c x))
(*.f64 c x)
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (* c s) x) (* (* c s) x)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* c s) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* c (* c (* x x))) (* s s)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* c (* c (* x x))) #s(hole binary64 (* (pow c 2) (pow x 2))))
#s(approx (* c (* x x)) #s(hole binary64 (* c (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (- (* 2/3 (pow x 2)) 2)))
#s(approx (* 2/3 (* x x)) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (* s x) c) (* (* s x) c)) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s x) c) #s(hole binary64 (* c (* s x))))
#s(approx (* s x) #s(hole binary64 (* s x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (pow (* (* s c) x) 2) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* s c) x) #s(hole binary64 (* c (* s x))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ 1 (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* -2 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* 2/3 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (+ (* (pow x 2) (- (* (pow x 2) (+ (* -4/45 (/ (pow x 2) (* (pow c 2) (pow s 2)))) (* 2/3 (/ 1 (* (pow c 2) (pow s 2)))))) (* 2 (/ 1 (* (pow c 2) (pow s 2)))))) (/ 1 (* (pow c 2) (pow s 2)))) (pow x 2))))
#s(approx (* (* (* (* s x) (* c x)) c) s) #s(hole binary64 (* (pow c 2) (* (pow s 2) (pow x 2)))))
#s(approx (* (* (* s x) (* c x)) c) #s(hole binary64 (* (pow c 2) (* s (pow x 2)))))
#s(approx (* (* s x) (* c x)) #s(hole binary64 (* c (* s (pow x 2)))))
#s(approx (* c x) #s(hole binary64 (* c x)))
#s(approx (/ (cos (* 2 x)) (* (* (* c s) x) (* (* c s) x))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/3 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (- (* 2/3 (* x x)) 2) #s(hole binary64 (* (pow x 2) (- 2/3 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (cos (* 2 x)) (pow (* (* s c) x) 2)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (+ (* (* x x) -2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 2))))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) #s(hole binary64 (/ (cos (* 2 x)) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) #s(hole binary64 (/ (cos (neg (* -2 x))) (* (pow c 2) (* (pow s 2) (pow x 2))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* c s) #s(hole binary64 (* c s)))
#s(approx c #s(hole binary64 c))
#s(approx (* s c) #s(hole binary64 (* c s)))
#s(approx s #s(hole binary64 s))
#s(approx (* s s) #s(hole binary64 (pow s 2)))

Outputs
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -2 binary64) x))) (neg.f64 (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 2 binary64)
x
(.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s c)) x)
(.f64 (.f64 (.f64 (.f64 s x) c) (*.f64 s x)) c)
(.f64 (.f64 (.f64 s c) (.f64 s c)) (*.f64 x x))
(.f64 (.f64 (.f64 s x) (.f64 s x)) (*.f64 c c))
(.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (.f64 s x) c)) (neg.f64 (.f64 (*.f64 s x) c)))
(.f64 (fabs.f64 (.f64 (.f64 s x) c)) (fabs.f64 (.f64 (*.f64 s x) c)))
(.f64 (.f64 s x) (.f64 c (.f64 (*.f64 s x) c)))
(.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) (*.f64 c c))
(.f64 (.f64 c c) (pow.f64 (*.f64 s x) #s(literal 2 binary64)))
(.f64 (.f64 s c) (.f64 x (.f64 (*.f64 s x) c)))
(.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c))
(pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 s x) c)) #s(literal 2 binary64)))
(.f64 (.f64 s x) c)
(.f64 (.f64 s c) x)
(.f64 s (.f64 c x))
(.f64 c (.f64 s x))
(.f64 x (.f64 s c))
(*.f64 s c)
(*.f64 c s)
c
s
(/.f64 (/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (pow.f64 (.f64 c x) #s(literal 2 binary64))) (.f64 s s))
(/.f64 (neg.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))))
(/.f64 #s(approx (cos (+ x x)) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s)
(.f64 (pow.f64 (.f64 c x) #s(literal 2 binary64)) (*.f64 s s))
(.f64 (.f64 s s) (pow.f64 (*.f64 c x) #s(literal 2 binary64)))
(.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s)))
(.f64 (.f64 (*.f64 x x) c) c)
(.f64 (.f64 x x) (*.f64 c c))
(.f64 (.f64 c c) (*.f64 x x))
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#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (pow.f64 (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (/.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 s c) #s(literal 2 binary64))) #s(literal -2 binary64) (pow.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (.f64 x x) (pow.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 (.f64 s c) #s(literal 2 binary64)))) (.f64 x x) (pow.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (* (* (* (* s x) (* c x)) c) s) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
#s(approx (* (* (* s x) (* c x)) c) (.f64 (.f64 (.f64 c c) s) (.f64 x x)))
#s(approx (* (* s x) (* c x)) (.f64 (.f64 (*.f64 x x) s) c))
#s(approx (* c x) (*.f64 c x))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (cos (* 2 x)) (* (* c (* c (* x x))) (* s s))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2/3 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 2/3 (* x x)) 2) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (- (* 2/3 (* x x)) 2) (.f64 (-.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))
#s(approx (+ (* (* x x) -2) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (/ (cos (* 2 x)) (* (* (* (* s x) (* c x)) c) s)) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (/ (cos (+ x x)) (* (* (* s x) c) (* (* s x) c))) (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64))))
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* c s) (*.f64 s c))
#s(approx c c)
#s(approx (* c s) (*.f64 s c))
#s(approx s s)
#s(approx (* s s) (*.f64 s s))

eval28.0ms (1.1%)

Memory: 4.2MiB live, 49.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 553 to 916 computations (86% saved)

prune35.0ms (1.3%)

Memory

7.1MiB live, 53.0MiB allocated; 6ms collecting garbage

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	257	12	269
Fresh	7	21	28
Picked	4	1	5
Done	0	2	2
Total	268	36	304

Accuracy

100.0%

Counts

304 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 c x)) (.f64 s s))
	75.1%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c)) x)
	83.9%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
	75.7%	(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) s) s) x)) x)
	41.3%	(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
	58.3%	(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
	87.2%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
	90.5%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s)))
	96.7%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
	97.8%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	65.4%	(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
	87.2%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) c) s))
	90.9%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 x c)) x) (.f64 c s)))
	94.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 s (.f64 x c))))
	67.7%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
	69.5%	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(approx (* (* (* s x) (* c x)) c) (.f64 (.f64 (.f64 c c) s) (.f64 x x))) s))
	59.2%	(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
	71.9%	(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
	51.8%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
	59.5%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
	59.2%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
	64.5%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
	60.0%	(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
	78.0%	(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
	38.5%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	37.7%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
	42.9%	(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
	20.2%	(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
✓	77.7%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
	66.0%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
	59.2%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
✓	53.5%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
✓	56.1%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
	57.8%	(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
	78.1%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
	50.0%	#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))

Compiler

Compiled 2 221 to 814 computations (63.3% saved)

regimes140.0ms (5.2%)

Memory

-8.3MiB live, 132.9MiB allocated; 14ms collecting garbage

Counts

71 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(approx (* (* (* s x) (* c x)) c) (.f64 (.f64 (.f64 c c) s) (.f64 x x))) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 c s) (.f64 (.f64 c s) (.f64 x x))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c s) x) (.f64 (.f64 c s) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 x (.f64 c c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s s) x) (.f64 (.f64 c c) x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 s (.f64 x c))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 s (.f64 x c)) x) (.f64 c s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 c x) c) x) (.f64 s s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) c) (.f64 s x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) s) (.f64 c x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 s x) (.f64 c x)) c) s))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 (.f64 s x) c) x) c) s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (*.f64 x x)))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 c s) #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 c x) (neg.f64 s)) (.f64 (.f64 c x) (neg.f64 s))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c c) s) s) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 c s) c) s) x)) x)
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (.f64 (*.f64 s s) x) c) c)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 x x)) (.f64 s s))
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c c)) (.f64 (.f64 s s) x)) x)
(/.f64 (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 c x)) (.f64 c x)) (.f64 s s))
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s c) #s(literal 2 binary64)) x) x))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (pow.f64 (.f64 s x) #s(literal 2 binary64)) c) c))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) c) (.f64 c (pow.f64 (*.f64 s x) #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (pow.f64 (*.f64 s c) #s(literal 2 binary64)) x)) x)
#s(approx (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (pow.f64 (.f64 s c) #s(literal 2 binary64))) (.f64 x x) (pow.f64 (.f64 s c) #s(literal -2 binary64))) (*.f64 x x)))
(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (*.f64 c s)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64))))

Outputs
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))

Calls

6 calls:

50.0ms	s
22.0ms	x
19.0ms	(pow.f64 s #s(literal 2 binary64))
18.0ms	c
14.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.8%	1	`(pow.f64 s #s(literal 2 binary64))`
97.8%	1	`(pow.f64 c #s(literal 2 binary64))`
97.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
97.8%	1	`x`
97.8%	1	`c`
97.8%	1	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes50.0ms (1.9%)

Memory

-1.4MiB live, 88.4MiB allocated; 9ms collecting garbage

Counts

30 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))

Outputs
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
(/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))

Calls

6 calls:

10.0ms	c
9.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
8.0ms	x
8.0ms	s
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
84.6%	2	`(pow.f64 s #s(literal 2 binary64))`
84.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
78.1%	1	`(pow.f64 c #s(literal 2 binary64))`
85.5%	2	`x`
78.1%	1	`c`
84.6%	2	`s`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes37.0ms (1.4%)

Memory

3.9MiB live, 56.6MiB allocated; 15ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))
#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (.f64 (.f64 s x) c) #s(literal -2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 s x) c) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (/ (cos (* -2 x)) (* c c)) (* x x)) (pow.f64 (.f64 c x) #s(literal -2 binary64))) (.f64 s s))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (*.f64 c x) #s(literal 2 binary64)) s) s))
(/.f64 #s(approx (/ (cos (* -2 x)) (* (pow (* s c) 2) x)) (/.f64 (pow.f64 (*.f64 c s) #s(literal -2 binary64)) x)) x)
(/.f64 #s(approx (cos (* 2 x)) #s(approx (+ (* (* x x) -2) 1) (.f64 (.f64 x x) #s(literal -2 binary64)))) (pow.f64 (.f64 (.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s c) x) #s(literal 2 binary64)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (pow.f64 (.f64 (*.f64 s x) c) #s(literal 2 binary64)))

Outputs

(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))

#s(approx (/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (pow.f64 (*.f64 (*.f64 s x) c) #s(literal -2 binary64)))

Calls

4 calls:

14.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))
7.0ms	x
7.0ms	s
7.0ms	(pow.f64 s #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.1%	2	`s`
80.1%	2	`(pow.f64 s #s(literal 2 binary64))`
83.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
79.9%	2	`x`

Compiler

Compiled 21 to 23 computations (-9.5% saved)

regimes5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c s) x) (.f64 (*.f64 c s) x)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) (*.f64 c x)) c) s))

Outputs

(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c s) x) (*.f64 (*.f64 c s) x)))

(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))

Calls

1 calls:

4.0ms

(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
83.7%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.2%)

Memory

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

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(approx (- (* 2/3 (* x x)) 2) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 (/.f64 #s(approx (/ (cos (* -2 x)) (* c c)) (/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)) (.f64 c c))) (.f64 x x)) (.f64 s s))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (.f64 s x) c)))
(/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 (.f64 s x) c) x) (.f64 c s)))
(/.f64 (/.f64 #s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 s x) c)) (.f64 (*.f64 s x) c))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))

Outputs

(/.f64 #s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))

(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))

Calls

1 calls:

4.0ms

(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
83.6%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes39.0ms (1.4%)

Memory

-43.7MiB live, 3.7MiB allocated; 2ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))
(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 c c) (.f64 x x)) (.f64 s s)))

Outputs

(/.f64 #s(approx (cos (* 2 x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))

(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 s x) c) (*.f64 (*.f64 s x) c)))

Calls

1 calls:

2.0ms

(/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
82.8%	2	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 16 to 12 computations (25% saved)

regimes13.0ms (0.5%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))

Outputs
(/.f64 #s(approx (cos (+ x x)) #s(approx (+ (* (- (* 2/3 (* x x)) 2) (* x x)) 1) #s(literal 1 binary64))) (.f64 (.f64 (.f64 s x) c) (.f64 (*.f64 s x) c)))

Calls

6 calls:

2.0ms	s
2.0ms	x
2.0ms	c
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))

Results

Accuracy	Segments	Branch
78.0%	1	`(pow.f64 c #s(literal 2 binary64))`
78.0%	1	`c`
78.0%	1	`x`
78.0%	1	`(pow.f64 s #s(literal 2 binary64))`
78.0%	1	`s`
78.0%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes15.0ms (0.6%)

Memory

-20.1MiB live, 25.0MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 c (.f64 x x))) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c c) (.f64 x x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 c c) x) x) (*.f64 s s)))

Outputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 c x) (.f64 c x)) (*.f64 s s)))

Calls

6 calls:

5.0ms	c
2.0ms	x
2.0ms	s
2.0ms	(pow.f64 s #s(literal 2 binary64))
2.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
59.2%	1	`(pow.f64 c #s(literal 2 binary64))`
59.2%	1	`c`
59.2%	1	`(pow.f64 s #s(literal 2 binary64))`
59.2%	1	`s`
59.2%	1	`x`
59.2%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`

Compiler

Compiled 25 to 31 computations (-24% saved)

regimes9.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Accuracy

Total -2.8b remaining (-10.2%)

Threshold costs -2.8b (-10.2%)

Counts

3 → 1

Calls

Call 1

Inputs

(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 c (*.f64 (*.f64 (*.f64 x x) c) (*.f64 s s))))

(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 c (*.f64 c (*.f64 x x))) (*.f64 s s)))

(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 c c) (*.f64 x x)) (*.f64 s s)))

Outputs
(/.f64 #s(approx (cos (* 2 x)) #s(literal 1 binary64)) (.f64 c (.f64 (.f64 (.f64 x x) c) (*.f64 s s))))

Calls

6 calls:

1.0ms	s
1.0ms	x
1.0ms	c
1.0ms	(pow.f64 s #s(literal 2 binary64))
1.0ms	(pow.f64 c #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
57.8%	1	`(pow.f64 s #s(literal 2 binary64))`
57.8%	1	`(pow.f64 c #s(literal 2 binary64))`
57.8%	1	`s`
57.8%	1	`c`
57.8%	1	`(/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 (.f64 x (pow.f64 s #s(literal 2 binary64))) x)))`
57.8%	1	`x`

Compiler

Compiled 25 to 31 computations (-24% saved)

bsearch18.0ms (0.7%)

Memory

-18.6MiB live, 26.8MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2652927140672062e-10	6.844606520440537e-8

Samples

12.0ms

128×

valid

Compiler

Compiled 307 to 242 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div!: 3.0ms (36.1% of total)

ival-pow2: 2.0ms (24.1% of total)

ival-mult!: 2.0ms (24.1% of total)

ival-cos: 1.0ms (12% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.7535097568750578e+115	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.7535097568750578e+115	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.7535097568750578e+115	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.7535097568750578e+115	-0.0

Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 430 to 85 computations (80.2% saved)

preprocess181.0ms (6.7%)

Memory

-20.7MiB live, 226.3MiB allocated; 44ms collecting garbage

Remove

(abs s)

(abs c)

(abs x)

Compiler

Compiled 6 432 to 3 348 computations (47.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze136.0ms (5.1%)

sample1.0s (39%)

explain144.0ms (5.4%)

preprocess31.0ms (1.2%)

series33.0ms (1.2%)

rewrite102.0ms (3.8%)

eval17.0ms (0.6%)

prune11.0ms (0.4%)

series52.0ms (1.9%)

rewrite186.0ms (7%)

eval68.0ms (2.5%)

prune26.0ms (1%)

series35.0ms (1.3%)

rewrite74.0ms (2.8%)

eval16.0ms (0.6%)

prune28.0ms (1%)

series44.0ms (1.6%)

rewrite53.0ms (2%)

eval28.0ms (1.1%)

prune35.0ms (1.3%)

regimes140.0ms (5.2%)

regimes50.0ms (1.9%)

regimes37.0ms (1.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes39.0ms (1.4%)

regimes13.0ms (0.5%)

regimes15.0ms (0.6%)

regimes9.0ms (0.3%)

bsearch18.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations3.0ms (0.1%)

preprocess181.0ms (6.7%)

end0.0ms (0%)

Profiling