Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

start0.0ms (0%)

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

analyze201.0ms (6.2%)

Memory

-12.6MiB live, 222.2MiB allocated; 73ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.3s (39.1%)

Memory

36.5MiB live, 1 633.9MiB allocated; 349ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 880.0ms

ival-sin: 627.0ms (71.3% of total)

ival-mult!: 190.0ms (21.6% of total)

ival-div!: 61.0ms (6.9% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain120.0ms (3.7%)

Memory

-20.5MiB live, 224.1MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
57	0	-	4	(-1.1964103703871192e-155)	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
0	0	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	122	(1.2496995980960078e+67)	0	-	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`
0	0	-	0	-	`#s(literal 8 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(*.f64 x #s(literal 1/2 binary64))`
0	0	-	0	-	`(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`
0	0	-	0	-	`(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f64`	`(sin.f64 (*.f64 x #s(literal 1/2 binary64)))`	sensitivity	122	0
`/.f64`	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`	u/n	53	0
↳	`(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))`	underflow	53

Confusion

	Predicted +	Predicted -
+	53	4
-	122	77

Precision

0.3028571428571429

Recall

0.9298245614035088

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	4
-	122	0	77

Precision?

0.3028571428571429

Recall?

0.9298245614035088

Freqs

test

number	freq
0	81
1	175

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 24.0ms (72.9% of total)

ival-mult!: 7.0ms (21.3% of total)

ival-div!: 2.0ms (6.1% of total)

adjust: 0.0ms (0% of total)

preprocess47.0ms (1.4%)

Memory

-5.3MiB live, 39.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	44	43
2	132	42
3	437	42
4	987	42
5	2062	42
6	4120	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Symmetry

(negabs x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series7.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

11 → 27

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
2.0ms	x	@	-inf	((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
2.0ms	x	@	0	((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

Time

Variable

Point

Expression

2.0ms

inf

((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

2.0ms

-inf

((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

2.0ms

((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

rewrite223.0ms (6.9%)

Memory

22.7MiB live, 166.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	542
0	163	506
1	784	506
0	6081	484

Stop Event

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

Counts

38 → 57

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x)))
(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/18 binary64)) x) x #s(literal 4/3 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))

eval21.0ms (0.6%)

Memory: -31.9MiB live, 14.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 341 to 269 computations (79.9% saved)

prune10.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	46	15	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	15	62

Accuracy

99.7%

Counts

62 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
	55.4%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	55.5%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
	79.6%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	33.2%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	33.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
▶	33.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	50.5%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
▶	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
▶	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	99.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
▶	99.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	52.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
▶	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 602 to 414 computations (31.2% saved)

series53.0ms (1.6%)

Memory

-19.5MiB live, 25.2MiB allocated; 5ms collecting garbage

Counts

25 → 76

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))

Outputs
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))
4.0ms	x	@	inf	((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))
4.0ms	x	@	0	((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))

Time

Variable

Point

Expression

44.0ms

-inf

((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))

4.0ms

inf

((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))

4.0ms

((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3))

rewrite242.0ms (7.4%)

Memory

36.7MiB live, 224.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1660
0	358	1509
1	1677	1509
0	8063	1439

Stop Event

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

Counts

101 → 224

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))

Outputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
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(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(.f64 #s(literal 8/3 binary64) (sin.f64 (.f64 x #s(literal 1/2 binary64))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (.f64 x x) #s(literal 5/288 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* 2/3 x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)))
#s(approx (* (* x x) 2/3) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/80640 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (* 1/2 x)) x)
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (.f64 x x) #s(literal 4/9 binary64)) (.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (.f64 x x) #s(literal 7/135 binary64)) (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* 1/2 x)) 8/3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
#s(approx (* (sin (* 1/2 x)) 8/3) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))

eval30.0ms (0.9%)

Memory: -42.6MiB live, 65.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 4 829 to 789 computations (83.7% saved)

prune22.0ms (0.7%)

Memory

4.1MiB live, 50.5MiB allocated; 4ms collecting garbage

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	194	17	211
Fresh	5	5	10
Picked	1	4	5
Done	0	0	0
Total	200	26	226

Accuracy

99.8%

Counts

226 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
	50.5%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x)))
	55.4%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	55.5%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
	79.6%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	33.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	32.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
▶	33.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	79.6%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	50.5%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
	50.3%	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	50.5%	(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	4.7%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
▶	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	4.1%	(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
✓	99.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	53.0%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))))
	58.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
	52.9%	(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	33.7%	(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	52.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	50.5%	#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x)))

Compiler

Compiled 1 052 to 741 computations (29.6% saved)

series17.0ms (0.5%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Counts

36 → 106

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx ( 2 (* 1/2 x)) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx ( 2 (* 1/2 x)) x)))
(cos.f64 #s(approx (* 2 (* 1/2 x)) x))
#s(approx (* 2 (* 1/2 x)) x)
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))

Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 4/135 (pow x 2)) 2/9))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 4/135 (* -2/945 (pow x 2)))) 2/9))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 1/4))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 1 x)) #s(hole binary64 1))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (pow (cos x) 2))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 8/3 (- 1/4 (* 1/4 (pow (cos x) 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (- 1/4 (* 1/4 (pow (cos x) 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (* 1/4 (pow (cos x) 2))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x)))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))
5.0ms	x	@	inf	((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))
5.0ms	x	@	-inf	((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))

Time

Variable

Point

Expression

5.0ms

((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))

5.0ms

inf

((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))

5.0ms

-inf

((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 1/4 (pow (* (cos (* 1 x)) 1/2) 2) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1 2 (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (+ 1/2 (* (cos (* 1 x)) 1/2)))

rewrite219.0ms (6.7%)

Memory

-14.6MiB live, 167.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2449
0	477	2086
1	2337	2086
0	8055	1978

Stop Event

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

Counts

142 → 337

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx ( 2 (* 1/2 x)) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx ( 2 (* 1/2 x)) x)))
(cos.f64 #s(approx (* 2 (* 1/2 x)) x))
#s(approx (* 2 (* 1/2 x)) x)
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
(+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -2/9 (pow x 2))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 4/135 (pow x 2)) 2/9))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 4/135 (* -2/945 (pow x 2)))) 2/9))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 1/4))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 1 x)) #s(hole binary64 1))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* -5/12 (pow x 2))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 17/240 (pow x 2)) 5/12))))))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 17/240 (* -13/2016 (pow x 2)))) 5/12))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/4 (* 1/4 (pow (cos x) 2))) (* (sin x) (+ 1/2 (* 1/2 (cos x))))))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) #s(hole binary64 (* 8/3 (- 1/4 (* 1/4 (pow (cos x) 2))))))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) #s(hole binary64 (- 1/4 (* 1/4 (pow (cos x) 2)))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(hole binary64 (* 1/4 (pow (cos x) 2))))
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x)))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* (sin x) (+ 1/2 (* 1/2 (cos x))))))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (cos x)))))

Outputs
(.f64 (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 6 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))))) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal -8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
(sin.f64 x)
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(literal 8/3 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 #s(approx (sin x) x))))
(/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))) (neg.f64 #s(approx (sin x) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
(.f64 (.f64 x x) #s(literal 2/3 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 2/3 binary64) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))))) (.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))))) (.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))))
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#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (.f64 x x) #s(literal 5/768 binary64)) (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 2 (* 1/2 x)) x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/540 binary64)) (.f64 x x)) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)))
#s(approx (* (* x x) 2/3) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/80640 binary64) (.f64 x x) #s(literal 1/1440 binary64)) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (.f64 x x) #s(literal 4/9 binary64)) (.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (.f64 x x) #s(literal 7/135 binary64)) (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (cos (* 1 x)) #s(literal 1 binary64))
#s(approx (cos (* 1 x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 1 x)) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 1 x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (* 1/2 x)) x)
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/135 binary64) (.f64 x x)) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 4/135 binary64)) (.f64 x x)) #s(literal 2/9 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/90 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1260 binary64) (.f64 x x) #s(literal 1/90 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) #s(literal 1/4 binary64))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 1 x)) #s(literal 1 binary64))
#s(approx (cos (* 1 x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 1 x)) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 1 x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (* 1/2 x)) x)
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) x)
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (.f64 (fma.f64 #s(literal -5/12 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 17/240 binary64) (.f64 x x)) #s(literal 5/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -13/2016 binary64) (.f64 x x) #s(literal 17/240 binary64)) (.f64 x x)) #s(literal 5/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) #s(literal 1 binary64))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (cos (* 1 x)) (cos.f64 x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
#s(approx (* (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) 8/3) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)))
#s(approx (- 1/4 (pow (* (cos (* 1 x)) 1/2) 2)) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))))
#s(approx (pow (* (cos (* 1 x)) 1/2) 2) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 1 x)) (cos.f64 x))
#s(approx (* (+ 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
#s(approx (+ 1/2 (* (cos (* 1 x)) 1/2)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

eval42.0ms (1.3%)

Memory: 3.9MiB live, 88.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 8 905 to 1 270 computations (85.7% saved)

prune28.0ms (0.9%)

Memory

-2.4MiB live, 63.0MiB allocated; 7ms collecting garbage

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	283	15	298
Fresh	8	9	17
Picked	2	3	5
Done	0	4	4
Total	293	31	324

Accuracy

99.8%

Counts

324 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)) (sin.f64 x))
	50.5%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
	50.4%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x)))
	55.4%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	79.6%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	32.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
	30.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x))
✓	33.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
	32.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
✓	33.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	30.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	79.6%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	50.5%	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
✓	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	50.4%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))))
✓	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	4.7%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
▶	4.1%	(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
▶	99.3%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
✓	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
✓	99.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	53.0%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))))
▶	58.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
	52.9%	(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	33.7%	(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	52.8%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	52.9%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 205 to 862 computations (28.5% saved)

series31.0ms (0.9%)

Memory

19.1MiB live, 63.8MiB allocated; 6ms collecting garbage

Counts

41 → 150

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 8/3 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(sin.f64 x)
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 16/3 binary64)

Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 x))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (cos (* 1/2 x)) #s(hole binary64 1))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 8/3 x) #s(hole binary64 (/ 8/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (cos x) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1/96 (pow x 2))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/96))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/161280 (pow x 2)))) 1/96))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 1/4))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (/ 1/2 (cos (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* 2 (* (cos (* 1/2 x)) (sin (* 1/2 x))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* (cos (* 1/2 x)) (sin (* 1/2 x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (cos (* 1/2 x))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* 16/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (+ 1 (cos x)))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* 16/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (cos x))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (cos x)))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)
11.0ms	x	@	inf	((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)
4.0ms	x	@	0	((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)

Time

Variable

Point

Expression

13.0ms

-inf

((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)

11.0ms

inf

((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)

4.0ms

((* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2)) (* x 1/2) x 1/2 (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))) (sin (* 1/2 x)) (* 1/2 x) (cos (* 1/2 x)) 8/3 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (/ 8/3 (sin x)) (/ 8/3 x) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x) (sin x) (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) 1) 1 16/3)

rewrite293.0ms (9%)

Memory

-15.6MiB live, 264.5MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	551	3523
0	604	3118
1	2885	3076
0	10092	2942

Stop Event

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

Counts

191 → 357

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))
#s(literal 2 binary64)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 8/3 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
(/.f64 #s(literal 8/3 binary64) x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
(sin.f64 x)
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 16/3 binary64)
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 x))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (cos (* 1/2 x)) #s(hole binary64 1))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 8/3 x) #s(hole binary64 (/ 8/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (cos x) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1/96 (pow x 2))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/96))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/161280 (pow x 2)))) 1/96))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/12 (pow x 2))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/90 (pow x 2)) 1/12))))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/1260 (pow x 2)))) 1/12))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 1/4))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* -1/4 (pow x 2)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* 1/12 (pow x 2)) 1/4)))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/12 (* -1/90 (pow x 2)))) 1/4)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#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 x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) #s(hole binary64 (* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) #s(hole binary64 (/ 1/2 (cos (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) #s(hole binary64 (* 2 (* (cos (* 1/2 x)) (sin (* 1/2 x))))))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) #s(hole binary64 (* (cos (* 1/2 x)) (sin (* 1/2 x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (cos (* 1/2 x)) #s(hole binary64 (cos (* 1/2 x))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))
#s(approx (- 1/2 (* (cos x) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* (cos x) 1/2) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) #s(hole binary64 (* 16/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (+ 1 (cos x)))))))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) #s(hole binary64 (* 16/3 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (cos x))))))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) #s(hole binary64 (/ (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))) (+ 1 (cos x)))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) #s(hole binary64 (- 1/4 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x))))))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(hole binary64 (* 1/4 (+ 1/2 (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (.f64 #s(literal 1/2 binary64) x)))))
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#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/90 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1260 binary64) (.f64 x x) #s(literal 1/90 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) #s(literal 1/4 binary64))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/90 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#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 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 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)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
#s(approx (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x)))) (sin.f64 (*.f64 #s(literal 1 binary64) x)))
#s(approx (* (sin (* 1/2 x)) (cos (* 1/2 x))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (cos (* 1/2 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (* (/ (- 1/2 (* (cos x) 1/2)) (sin x)) 8/3) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
#s(approx (/ (- 1/2 (* (cos x) 1/2)) (sin x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (- 1/2 (* (cos x) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* (cos x) 1/2) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))) #s(literal 16/3 binary64)))
#s(approx (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)))
#s(approx (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
#s(approx (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4) (*.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (cos x) 1) (+.f64 (cos.f64 x) #s(literal 1 binary64)))

eval79.0ms (2.4%)

Memory: -1.4MiB live, 55.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 9 988 to 1 871 computations (81.3% saved)

prune28.0ms (0.9%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	332	7	339
Fresh	8	11	19
Picked	2	3	5
Done	2	5	7
Total	344	26	370

Accuracy

99.8%

Counts

370 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
	50.3%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 16/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
	50.4%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x)))
	79.6%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	32.7%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
	30.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	32.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
✓	33.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	30.6%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
	79.6%	(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	99.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))))
✓	50.5%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	4.1%	(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
	99.2%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 8/3 binary64))
✓	99.3%	(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
	99.3%	(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
✓	99.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	53.0%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))))
✓	58.3%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
	33.2%	(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
	52.8%	#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
	52.9%	#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓	53.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	99.4%	#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Compiler

Compiled 1 857 to 720 computations (61.2% saved)

regimes46.0ms (1.4%)

Memory

-9.4MiB live, 37.8MiB allocated; 3ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 4/3 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/540 binary64) (.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 #s(literal 4/3 binary64) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (.f64 #s(approx (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 16/3 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 16/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 #s(approx (* 2 (* 1/2 x)) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(.f64 (.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))) #s(literal 8/3 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))

Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (* 2 (* (sin (* 1/2 x)) (cos (* 1/2 x))))) (sin (* x 1/2))) 8/3) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))

Calls

2 calls:

14.0ms	x
13.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
99.4%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.5%)

Memory

-23.3MiB live, 21.1MiB allocated; 5ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))

Outputs
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))

Calls

2 calls:

12.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
58.3%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
58.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Accuracy

Total -32.2b remaining (-107.1%)

Threshold costs -32.2b (-107.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 #s(approx (- 1/2 ( 1/2 (cos (* 2 (* 1/2 x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 x)))) 1/4)) (+ (cos x) 1)) 16/3) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))

Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))

Results

Accuracy	Segments	Branch
53.1%	1	`(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))`
53.1%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

derivations149.0ms (4.6%)

Memory

7.5MiB live, 152.1MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 66 to 35 computations (47% saved)

preprocess46.0ms (1.4%)

Memory: -28.6MiB live, 65.7MiB allocated; 4ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 296 to 188 computations (36.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze201.0ms (6.2%)

sample1.3s (39.1%)

explain120.0ms (3.7%)

preprocess47.0ms (1.4%)

series7.0ms (0.2%)

rewrite223.0ms (6.9%)

eval21.0ms (0.6%)

prune10.0ms (0.3%)

series53.0ms (1.6%)

rewrite242.0ms (7.4%)

eval30.0ms (0.9%)

prune22.0ms (0.7%)

series17.0ms (0.5%)

rewrite219.0ms (6.7%)

eval42.0ms (1.3%)

prune28.0ms (0.9%)

series31.0ms (0.9%)

rewrite293.0ms (9%)

eval79.0ms (2.4%)

prune28.0ms (0.9%)

regimes46.0ms (1.4%)

regimes17.0ms (0.5%)

regimes7.0ms (0.2%)

derivations149.0ms (4.6%)

preprocess46.0ms (1.4%)

end0.0ms (0%)

Profiling