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

analyze251.0ms (7.2%)

Memory

-22.4MiB live, 271.8MiB allocated; 62ms 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)

sample1.1s (31.4%)

Memory

15.9MiB live, 1 772.6MiB allocated; 155ms collecting garbage

Samples

803.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

ival-sin: 397.0ms (64.7% of total)

ival-mult!: 172.0ms (28% of total)

ival-div!: 43.0ms (7% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain188.0ms (5.4%)

Memory

27.4MiB live, 221.1MiB allocated; 55ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
68	0	-	3	(8.506657099156847e-161)	`(/.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	115	(-5.235766799127143e+66)	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	115	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	65	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	65

Confusion

	Predicted +	Predicted -
+	65	3
-	115	73

Precision

0.3611111111111111

Recall

0.9558823529411765

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	3
-	115	0	73

Precision?

0.3611111111111111

Recall?

0.9558823529411765

Freqs

test

number	freq
0	76
1	180

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 22.0ms (70.2% of total)

ival-mult!: 7.0ms (22.4% of total)

ival-div!: 2.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

preprocess53.0ms (1.5%)

Memory

-0.7MiB live, 46.3MiB allocated; 2ms 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
▶	75.1%	(/.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))

Symmetry

(negabs x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series30.0ms (0.8%)

Memory

-28.9MiB live, 18.0MiB allocated; 2ms 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
25.0ms	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

25.0ms

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))

rewrite215.0ms (6.1%)

Memory

-20.1MiB live, 179.8MiB allocated; 89ms 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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.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)) #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 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #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) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.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 (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 (.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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 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 (fma.f64 #s(literal -1/241920 binary64) (.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 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 (fma.f64 #s(literal -1/645120 binary64) (.f64 x x) #s(literal 1/3840 binary64)) 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 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) (fma.f64 (.f64 x (.f64 x x)) (-.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #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))

eval7.0ms (0.2%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 340 to 260 computations (80.6% saved)

prune24.0ms (0.7%)

Memory

-7.3MiB live, 45.2MiB allocated; 6ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	41	23	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	23	65

Accuracy

99.6%

Counts

65 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	52.2%	(/.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))
	31.3%	(/.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)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
▶	31.4%	(/.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)))) #s(approx (sin x) x))
	31.0%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
	31.1%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
	50.4%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	75.1%	(/.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))
	31.0%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	31.1%	(/.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))
	30.3%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
	31.6%	(/.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))
▶	30.2%	(/.f64 #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)) (sin.f64 x))
	31.5%	(/.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))
▶	75.1%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	75.1%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 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)))
	99.2%	(.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)))
▶	99.2%	(.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))))
	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
	55.1%	#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))
	55.1%	#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))
▶	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 038 to 722 computations (30.4% saved)

series13.0ms (0.4%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

32 → 78

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 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#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))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 x x)
(/.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)))) #s(approx (sin x) 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))
#s(approx (sin x) x)
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))

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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 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 (/ 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)) (* 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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))
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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))
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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))

Time

Variable

Point

Expression

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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))

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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))

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))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* x x) (/ (* (* (/ 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) (sin x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)))

rewrite154.0ms (4.4%)

Memory

-18.6MiB live, 259.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	1638
0	345	1562
1	1523	1562
0	8186	1503

Stop Event

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

Counts

110 → 226

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 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#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))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 x x)
(/.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)))) #s(approx (sin x) 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))
#s(approx (sin x) x)
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 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 (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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 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 (/ 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)) (* 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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))

Outputs
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 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 (.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 (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 (.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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.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 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(literal 8/3 binary64)
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 x)
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
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#s(approx (* x 1/2) (*.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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (* (pow (sin (* 1/2 x)) 2) (/ 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 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) 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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x) x))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* -1/18 (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 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 (.f64 x x) #s(literal -1/18 binary64) #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 (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 (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
#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 x #s(literal 1/2 binary64)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (* (pow (sin (* 1/2 x)) 2) (/ 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 (pow (sin (* 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) (.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 (pow (sin (* 1/2 x)) 2) (.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 (/ 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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (sin (* x 1/2)) (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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64))))
#s(approx (+ (* -1/18 (* x x)) 2/3) (.f64 (.f64 x x) #s(literal -1/18 binary64)))
#s(approx (+ (* -1/18 (* x x)) 2/3) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64)) (*.f64 x x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (neg.f64 (.f64 (-.f64 #s(literal 1/18 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 3 binary64)))))

eval26.0ms (0.8%)

Memory: 13.0MiB live, 59.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 755 to 940 computations (83.7% saved)

prune30.0ms (0.8%)

Memory

9.9MiB live, 65.2MiB allocated; 3ms collecting garbage

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	193	24	217
Fresh	10	8	18
Picked	3	2	5
Done	0	0	0
Total	206	34	240

Accuracy

99.8%

Counts

240 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	31.4%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
	52.2%	(/.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))
	31.4%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
▶	75.1%	(/.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))
	30.7%	(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
	31.1%	(/.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))
	35.0%	(/.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)))) #s(approx (sin x) x))
	30.3%	(/.f64 #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))) (sin.f64 x))
	31.5%	(/.f64 #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))) (sin.f64 x))
	30.0%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
	30.4%	(/.f64 #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 (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)))
	30.2%	(/.f64 #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 (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)))
	30.5%	(/.f64 #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 (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
	31.5%	(/.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))
	52.0%	(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	75.1%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	31.3%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
	50.0%	(.f64 (pow.f64 (exp.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)))
	75.1%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 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)))
	48.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	76.2%	(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	99.2%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
	3.8%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))))
	55.2%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
	59.2%	(.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)))
	49.9%	(.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)))
▶	31.4%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	55.2%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
	55.1%	#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))
▶	55.1%	#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))
✓	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 503 to 1 034 computations (31.2% saved)

series10.0ms (0.3%)

Memory

-26.5MiB live, 20.6MiB allocated; 2ms collecting garbage

Counts

27 → 83

Calls

Call 1

Inputs
(.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)) (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
(sin.f64 x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#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))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (pow (sin (* 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
#s(literal 1/4 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.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 (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 (*.f64 x #s(literal 1/2 binary64)))

Outputs
#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)) (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 (* 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 (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 (* (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 (/ (* (* (/ 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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 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 (* 1/4 (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#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 (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 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 (* x 1/2)) (* 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 (* 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 (* 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)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (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 (* 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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (/ (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)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* x 1/2)) #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)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))
3.0ms	x	@	-inf	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))
2.0ms	x	@	0	((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))

Time

Variable

Point

Expression

3.0ms

inf

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))

3.0ms

-inf

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))

2.0ms

((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* 1/4 (* x x)) 1/4 (/ 8/3 (sin x)) (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin (* x 1/2)))

rewrite162.0ms (4.6%)

Memory

39.1MiB live, 269.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1787
0	345	1689
1	1525	1689
0	8144	1620

Stop Event

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

Counts

110 → 211

Calls

Call 1

Inputs
(.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)) (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
(sin.f64 x)
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
#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))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (pow (sin (* 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
#s(literal 1/4 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.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 (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 (*.f64 x #s(literal 1/2 binary64)))
#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)) (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 (* 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 (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 (* (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 (/ (* (* (/ 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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 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 (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 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 (* 1/4 (* x x)) #s(hole binary64 (* 1/4 (pow x 2))))
#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 (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 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 (* x 1/2)) (* 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 (* 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 (* 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)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (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 (* 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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (/ (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)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 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 (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* x 1/2)) #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)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))

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 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 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 (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 (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 (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 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(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(literal 8/3 binary64)
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x)) (.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64)))) (.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64)))))))
(fma.f64 #s(literal 2/3 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))
(fma.f64 #s(literal 2/3 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(fma.f64 x #s(literal 2/3 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))
(fma.f64 x #s(literal 2/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/18 binary64))))
(-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64))) x))
(-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/18 binary64))))
(+.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))
(+.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/18 binary64))))
(/.f64 (-.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 #s(literal -1/18 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/18 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (-.f64 #s(literal 4/9 binary64) (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))))
(/.f64 (+.f64 #s(literal 8/27 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (*.f64 x x) #s(literal 1/18 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(-.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal -2/3 binary64))
(-.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/18 binary64)))
(-.f64 #s(literal 2/3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 1/18 binary64))))
(-.f64 #s(literal 2/3 binary64) (.f64 #s(literal -1/18 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))) (/.f64 #s(literal 8/27 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))))
(+.f64 (/.f64 #s(literal 8/27 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/18 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/18 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/18 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) #s(literal 1/18 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 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 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.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 1/18 binary64)
#s(literal 2/3 binary64)
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
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#s(approx (* 1/4 (* x x)) (.f64 (.f64 x x) #s(literal 1/4 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))
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#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))

eval34.0ms (1%)

Memory: -18.2MiB live, 79.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 5 834 to 801 computations (86.3% saved)

prune57.0ms (1.6%)

Memory

17.3MiB live, 94.7MiB allocated; 27ms collecting garbage

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	223	14	237
Fresh	6	21	27
Picked	2	3	5
Done	0	2	2
Total	231	40	271

Accuracy

99.8%

Counts

271 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	31.4%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
	52.2%	(/.f64 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
	31.4%	(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
✓	75.1%	(/.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))
	31.1%	(/.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))
	35.0%	(/.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)))) #s(approx (sin x) x))
	30.3%	(/.f64 #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))) (sin.f64 x))
	31.5%	(/.f64 #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))) (sin.f64 x))
	30.4%	(/.f64 #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 (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)))
▶	30.2%	(/.f64 #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 (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)))
	30.5%	(/.f64 #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 (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
	31.5%	(/.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))
	52.0%	(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	75.1%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	31.3%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
	50.0%	(.f64 (pow.f64 (exp.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)))
	75.1%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
	3.7%	(.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)))
	55.2%	(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
▶	48.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶	99.3%	(.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))
	99.2%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
	59.2%	(.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)))
	49.9%	(.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)))
	30.4%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
	30.4%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
	31.0%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
	55.2%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
	54.7%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
▶	55.3%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
	59.2%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
	54.9%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
▶	54.9%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
	30.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
	55.1%	#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))
✓	55.1%	#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))
✓	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

Compiler

Compiled 1 738 to 1 195 computations (31.2% saved)

series69.0ms (2%)

Memory

16.7MiB live, 59.5MiB allocated; 11ms collecting garbage

Counts

46 → 130

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 (sin ( x 1/2)) (.f64 x #s(literal 1/2 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 (sin (* x 1/2)) (*.f64 x #s(literal 1/2 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)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
#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 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) 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 (* (* (/ 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))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
#s(literal 2/3 binary64)
#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))
(.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)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.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 x #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))

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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 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 (* x 1/2)) (* 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 (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (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 (* 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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 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 (* x 1/2))))) (/ 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 (* x 1/2))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 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 (* 1/2 (cos (* 2 (* 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 (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 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 (* 2 (* x 1/2))) #s(hole binary64 1))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* x 1/2)) #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 (* 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 (* (sin (* x 1/2)) (* 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 (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 4/3 (/ 1 (pow x 2)))))))
#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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 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 (* x 1/2))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
58.0ms	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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))
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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))
3.0ms	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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))

Time

Variable

Point

Expression

58.0ms

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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))

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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))

3.0ms

((* (* (/ (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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/6 (* x x)) 4/3) 1/6 (* x x) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 2/3 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) 2 (/ 8/3 (sin x)))

rewrite258.0ms (7.4%)

Memory

-39.4MiB live, 301.0MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	2896
0	511	2707
1	2178	2707
0	8844	2628

Stop Event

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

Counts

176 → 399

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 (sin ( x 1/2)) (.f64 x #s(literal 1/2 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 (sin (* x 1/2)) (*.f64 x #s(literal 1/2 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)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
#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 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) 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 (* (* (/ 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))
(.f64 (.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
#s(literal 2/3 binary64)
#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))
(.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)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.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 x #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#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 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 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 (* x 1/2)) (* 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 (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (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 (* 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 (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 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 (* x 1/2))))) (/ 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 (* x 1/2))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 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 (* 1/2 (cos (* 2 (* 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 (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* 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 (* 2 (* x 1/2))) #s(hole binary64 1))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* x 1/2)) #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 (* 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 (* (sin (* x 1/2)) (* 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 (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* 1/6 (* x x)) 4/3) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 4/3 (/ 1 (pow x 2)))))))
#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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (/ 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 (* x 1/2))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (cos x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))

Outputs
(.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 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 (.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
(.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
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#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 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#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 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
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#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 (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
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#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 (+ (* 1/6 (* x x)) 4/3) #s(literal 4/3 binary64))
#s(approx (+ (* 1/6 (* x x)) 4/3) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 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))
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#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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (.f64 x x) #s(literal 2/3 binary64)))
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#s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* -1/18 (* x x)) 2/3) (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (* 1/120 (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#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 (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#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 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#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 (* x 1/2))))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (.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 (* x 1/2))))) (.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 (* x 1/2))))) (.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 (* x 1/2)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 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 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* 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 1/2 binary64)))
#s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64))
#s(approx (cos (* 2 (* x 1/2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* x 1/2))) (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 (* x 1/2))) (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 (* x 1/2)) 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 (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 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 (* 1/2 x)) (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)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#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 (+ (* 1/6 (* x x)) 4/3) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/6 (* x x)) 4/3) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4/3 binary64) #s(literal 1/6 binary64)) (.f64 x 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)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64))))
#s(approx (+ (* -1/18 (* x x)) 2/3) (.f64 (.f64 x x) #s(literal -1/18 binary64)))
#s(approx (+ (* -1/18 (* x x)) 2/3) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64)) #s(literal 1/18 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 x 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 (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/6 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* x 1/2))) (cos.f64 x))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (neg.f64 (.f64 (-.f64 #s(literal 1/18 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))

eval112.0ms (3.2%)

Memory: -3.8MiB live, 95.6MiB allocated; 48ms collecting garbage
Compiler: Compiled 15 794 to 2 101 computations (86.7% saved)

prune62.0ms (1.8%)

Memory

33.4MiB live, 84.0MiB allocated; 6ms collecting garbage

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	401	22	423
Fresh	11	19	30
Picked	3	2	5
Done	0	5	5
Total	415	48	463

Accuracy

99.8%

Counts

463 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
	48.0%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
	48.5%	(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))))) (sin.f64 x)))
	52.2%	(/.f64 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
✓	75.1%	(/.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))
	35.0%	(/.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)))) #s(approx (sin x) x))
	30.3%	(/.f64 #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))) (sin.f64 x))
	31.5%	(/.f64 #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))) (sin.f64 x))
	30.5%	(/.f64 #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 (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)))
	30.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
	30.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
	30.4%	(/.f64 #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 (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)))
	30.0%	(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
	30.5%	(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	1.4%	(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
	30.6%	(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
	31.5%	(/.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))
	30.4%	(/.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 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	3.2%	(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
✓	75.1%	(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	50.0%	(.f64 (pow.f64 (exp.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)))
	75.1%	(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
	48.0%	(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #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)))
	48.3%	(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
	12.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	5.3%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
	5.0%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
	48.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
	4.5%	(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓	99.3%	(.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))
	99.2%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
	59.2%	(.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)))
	49.9%	(.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)))
	30.4%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))))
	31.0%	(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
	55.1%	(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
	54.7%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
	28.8%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
	59.2%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
	54.9%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
✓	54.9%	(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
	30.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
	55.1%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
	55.1%	#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))
✓	55.1%	#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))
✓	55.3%	#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
	48.6%	#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 3 470 to 1 296 computations (62.7% saved)

regimes50.0ms (1.4%)

Memory

9.9MiB live, 99.9MiB allocated; 8ms collecting garbage

Counts

84 → 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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 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)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 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)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.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)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #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 (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 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #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 (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 (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 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))))
(.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(.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 (pow.f64 (exp.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.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 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))) (sin.f64 (*.f64 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 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 2 binary64) (.f64 #s(literal 1/2 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 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))))) (sin.f64 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))

Calls

2 calls:

24.0ms	x
21.0ms	(/.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
99.3%	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))`
99.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes41.0ms (1.2%)

Memory

-18.6MiB live, 80.5MiB allocated; 8ms collecting garbage

Counts

66 → 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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 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)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 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)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.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)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #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 (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 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))

Outputs
(.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))))

Calls

2 calls:

19.0ms	x
18.0ms	(/.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
99.2%	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))`
99.2%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (1%)

Memory

12.5MiB live, 58.9MiB allocated; 2ms collecting garbage

Counts

63 → 2

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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 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)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 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)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.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)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))

Outputs

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

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

Calls

2 calls:

17.0ms	x
15.0ms	(/.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%	3	`(/.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))`
99.3%	2	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes47.0ms (1.3%)

Memory

-18.3MiB live, 28.2MiB allocated; 2ms collecting garbage

Counts

60 → 2

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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 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)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 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)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.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)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))

Outputs

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.5%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

58 → 2

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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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 (* x 1/2)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.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 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 #s(approx (sin ( x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 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)))) #s(approx (sin ( x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (.f64 #s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x))) x)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 8/3 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)))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.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)) (.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (.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)))) #s(approx (sin ( x 1/2)) (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x))) (sin.f64 x))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes25.0ms (0.7%)

Memory

-25.9MiB live, 26.1MiB allocated; 4ms collecting garbage

Counts

42 → 2

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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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)))

Outputs

#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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 (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (/.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)))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes25.0ms (0.7%)

Memory

-0.0MiB live, 44.8MiB allocated; 3ms collecting garbage

Counts

41 → 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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 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)))
(.f64 (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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 (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.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)))) #s(approx (sin x) x))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx ( (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 #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)) (sin.f64 x))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (.f64 #s(approx ( (/ 8 3) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)))
(/.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 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))) #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)))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) #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 (fma.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)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))) (sin.f64 x))
(/.f64 #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))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/18 binary64)) x))) x)) (sin.f64 x))
(/.f64 (.f64 (pow.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) 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))
10.0ms	x

Results

Accuracy	Segments	Branch
59.2%	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))`
59.2%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.4%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Accuracy

Total -16.5b remaining (-57.7%)

Threshold costs -16.5b (-57.7%)

Counts

21 → 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))
#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))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 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))))
(.f64 #s(approx ( (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
(.f64 #s(approx (sin ( x 1/2)) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 8/3 binary64) #s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))
(/.f64 #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 (sin x) #s(approx ( (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (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))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #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 (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #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 (.f64 x x) #s(literal 2/3 binary64))) #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)))
(.f64 #s(approx (pow (sin ( 1/2 x)) 2) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 8/3 binary64) #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))))
(/.f64 #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 (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #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 (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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x) 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)) (.f64 x 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)))
(/.f64 #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 (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)))
(/.f64 #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 (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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (.f64 #s(literal 4/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (.f64 #s(literal 2/3 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/18 binary64)) 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:

6.0ms	x
5.0ms	(/.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
55.3%	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))`
55.3%	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch7.0ms (0.2%)

Memory

-34.9MiB live, 12.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.0157447281863306e-37	3.6706694519352846e-37

Samples

3.0ms

48×

valid

Compiler

Compiled 112 to 93 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sin: 1.0ms (63.5% of total)

ival-mult!: 1.0ms (63.5% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	5.38424503030612e-58	4.34147638688385e-55

Samples

1.0ms

16×

valid

Compiler

Compiled 50 to 41 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch12.0ms (0.4%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.014761566088316951	1.685810709607172

Samples

6.0ms

112×

valid

Compiler

Compiled 383 to 274 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (50.5% of total)

ival-mult!: 1.0ms (25.2% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.014761566088316951	1.685810709607172

Compiler

Compiled 446 to 302 computations (32.3% saved)

derivations227.0ms (6.5%)

Memory

-38.6MiB live, 200.1MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 255 to 76 computations (70.2% saved)

preprocess143.0ms (4.1%)

Memory: 24.0MiB live, 215.4MiB allocated; 22ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 1 084 to 536 computations (50.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze251.0ms (7.2%)

sample1.1s (31.4%)

explain188.0ms (5.4%)

preprocess53.0ms (1.5%)

series30.0ms (0.8%)

rewrite215.0ms (6.1%)

eval7.0ms (0.2%)

prune24.0ms (0.7%)

series13.0ms (0.4%)

rewrite154.0ms (4.4%)

eval26.0ms (0.8%)

prune30.0ms (0.8%)

series10.0ms (0.3%)

rewrite162.0ms (4.6%)

eval34.0ms (1%)

prune57.0ms (1.6%)

series69.0ms (2%)

rewrite258.0ms (7.4%)

eval112.0ms (3.2%)

prune62.0ms (1.8%)

regimes50.0ms (1.4%)

regimes41.0ms (1.2%)

regimes35.0ms (1%)

regimes47.0ms (1.3%)

regimes18.0ms (0.5%)

regimes25.0ms (0.7%)

regimes25.0ms (0.7%)

regimes13.0ms (0.4%)

bsearch7.0ms (0.2%)

bsearch2.0ms (0.1%)

bsearch12.0ms (0.4%)

bsearch2.0ms (0%)

derivations227.0ms (6.5%)

preprocess143.0ms (4.1%)

end0.0ms (0%)

Profiling