Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (45.2%)

Memory

39.9MiB live, 1 902.9MiB allocated; 388ms collecting garbage

Samples

617.0ms	2 225×	2	valid
432.0ms	4 131×	0	valid
292.0ms	715×	3	valid
164.0ms	1 185×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 933.0ms (74% of total)

adjust: 169.0ms (13.4% of total)

ival-div!: 69.0ms (5.5% of total)

ival-sub!: 50.0ms (4% of total)

ival-mult!: 40.0ms (3.2% of total)

Bogosity

explain222.0ms (5.4%)

Memory

-10.4MiB live, 274.7MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
78	0	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
66	3	(3.05775409280087e+161)	-	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	78	3
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	u/u	64	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	64
↳	`(*.f64 x x)`	underflow	64
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	5	0
↳	`(*.f64 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	141	0
-	6	109

Precision

0.9591836734693877

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	6	3	106

Precision?

0.94

Recall?

1.0

Freqs

test

number	freq
0	109
1	147

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	34×	3	valid
45.0ms	156×	2	valid
21.0ms	242×	0	valid
8.0ms	80×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-cos: 102.0ms (85.7% of total)

adjust: 7.0ms (5.9% of total)

ival-div!: 4.0ms (3.4% of total)

ival-sub!: 3.0ms (2.5% of total)

ival-mult!: 3.0ms (2.5% of total)

preprocess38.0ms (0.9%)

Memory

-25.1MiB live, 26.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	46	25
2	112	25
3	187	25
4	405	24
5	1957	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))
1.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) x (* x x))

rewrite125.0ms (3.1%)

Memory

52.4MiB live, 176.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	312	264
0	2707	252

Stop Event

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

Counts

23 → 67

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(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(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval85.0ms (2.1%)

Memory: -47.8MiB live, 13.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 962 to 234 computations (75.7% saved)

prune7.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	51	12	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	13	64

Accuracy

99.8%

Counts

64 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
▶	49.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	47.9%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
	14.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 x x))
	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
▶	48.0%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
✓	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	48.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	53.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
▶	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 380 to 256 computations (32.6% saved)

series89.0ms (2.2%)

Memory

8.6MiB live, 100.2MiB allocated; 11ms collecting garbage

Counts

25 → 79

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
55.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
24.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))
9.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

Time

Variable

Point

Expression

55.0ms

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

24.0ms

-inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

9.0ms

inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (cos x) (/ (- 1 (cos x)) (exp (* (log x) 2))) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (* (+ (cos x) 1) (* x x)) (+ (cos x) 1))

rewrite258.0ms (6.3%)

Memory

-0.3MiB live, 234.1MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1499
0	271	1335
1	1089	1316
0	8781	1261

Stop Event

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

Counts

104 → 583

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (exp (* (log x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 1))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (exp (* (log x) 2))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))

Outputs
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))))
(+.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)))
x
#s(literal -1/24 binary64)
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
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(+.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 x x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) #s(literal 1 binary64))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (+.f64 x x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x) x))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (* (+ (cos x) 1) (* x x)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (log x) 2) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64)))
#s(approx (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))

eval53.0ms (1.3%)

Memory: 14.1MiB live, 109.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 445 to 1 948 computations (85.5% saved)

prune18.0ms (0.4%)

Memory

-3.8MiB live, 42.9MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	512	13	525
Fresh	5	2	7
Picked	2	3	5
Done	0	1	1
Total	519	19	538

Accuracy

100.0%

Counts

538 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
	49.2%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
▶	48.0%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓	49.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	48.0%	(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
	29.6%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
▶	49.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	14.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
✓	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
▶	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	48.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
▶	48.0%	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
	26.1%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	48.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
	48.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
▶	74.8%	(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
✓	53.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 463 to 317 computations (31.5% saved)

series20.0ms (0.5%)

Memory

-4.7MiB live, 41.3MiB allocated; 3ms collecting garbage

Counts

30 → 119

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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 x #s(hole binary64 x))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))
8.0ms	x	@	-inf	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))
3.0ms	x	@	0	((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))

Time

Variable

Point

Expression

8.0ms

inf

((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))

8.0ms

-inf

((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))

3.0ms

((* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) (/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) (cos x) -1 (/ (sin x) (* x x)) (* x x) (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (/ (- (/ 1 x) (/ (cos x) x)) x) (- (/ 1 x) (/ (cos x) x)) (/ 1 x) (/ (cos x) x) (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) (/ (- (* 1 x) (* x (cos x))) (* x x)) (- (* 1 x) (* x (cos x))) (* 1 x) (* x (cos x)) (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (- 1/2 (* (cos (+ x x)) 1/2)) 1/2 (* (cos (+ x x)) 1/2) (cos (+ x x)) (+ x x) (* (* (- (cos x) -1) x) x) (* (- (cos x) -1) x))

rewrite185.0ms (4.5%)

Memory

-9.4MiB live, 235.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	2372
0	391	2151
1	1575	2100
0	8268	2015

Stop Event

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

Counts

149 → 516

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
x
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) x)
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (cos.f64 x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (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 x #s(hole binary64 x))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 1/2))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 1/2))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (pow x 2)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (sin x) (- (cos x) -1)) (/ (sin x) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (* (- (cos x) -1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (- (/ 1 x) (/ (cos x) x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (/ (/ (- (* 1 x) (* x (cos x))) (* x x)) x) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (- (* 1 x) (* x (cos x))) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) x)))
#s(approx (- (* 1 x) (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))

Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))) (.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (fma.f64 (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x x)))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (.f64 x (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (*.f64 x x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))))
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(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x x))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
(.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)
(.f64 (.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (.f64 x x))
(.f64 x (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))) (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (cos.f64 x) (.f64 x x)) (.f64 (cos.f64 x) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 x x)) (.f64 (cos.f64 x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (cos.f64 x) (.f64 x x))))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x x) (cos.f64 x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (cos.f64 x) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(fma.f64 x x (.f64 (cos.f64 x) (.f64 x x)))
(fma.f64 x x (.f64 (.f64 x x) (cos.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 x x)) (cos.f64 x)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 x x)) (.f64 x (*.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 x x))) (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 x (*.f64 (cos.f64 x) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sin x) (- (cos x) -1)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* 1 x) x)
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) (* x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* x 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) (* x 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 (* x x) (*.f64 x x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (-.f64 (.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(approx (- 1 (cos x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #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(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (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)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) #s(literal 1/2 binary64))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (/ 1 x) (/ (cos x) x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (* 1 x) (* x (cos x))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (* 1 x) x)
#s(approx (* x (cos x)) x)
#s(approx (* x (cos x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x (cos x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* x (cos x)) (.f64 (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)) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (*.f64 x x))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ x x)) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ x x)) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) (.f64 x x)))
#s(approx (* (- (cos x) -1) x) (+.f64 x x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (sin x) (* x x)) (/.f64 (sin.f64 x) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (* (- (cos x) -1) x) x) (.f64 (.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ (- (/ 1 x) (/ (cos x) x)) x) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 x) (/ (cos x) x)) (/.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (- (* 1 x) (* x (cos x))) (*.f64 (-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x))
#s(approx (/ (- 1/2 (* (cos (+ x x)) 1/2)) (* (* (- (cos x) -1) x) x)) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (- 1/2 (* (cos (+ x x)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ x x)) 1/2) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))

eval47.0ms (1.2%)

Memory: 17.3MiB live, 109.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 589 to 1 773 computations (84.7% saved)

prune16.0ms (0.4%)

Memory

-5.2MiB live, 42.1MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	504	7	511
Fresh	4	6	10
Picked	3	2	5
Done	0	4	4
Total	511	19	530

Accuracy

100.0%

Counts

530 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
	14.1%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 x x))) x)
✓	49.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
▶	29.6%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
✓	49.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
▶	14.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	40.4%	(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
✓	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
✓	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	99.8%	(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
	74.4%	(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
	26.1%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	48.8%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
▶	48.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	99.8%	(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
▶	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	53.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 409 to 263 computations (35.7% saved)

series86.0ms (2.1%)

Memory

-35.7MiB live, 32.6MiB allocated; 94ms collecting garbage

Counts

26 → 87

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 1/2))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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 x #s(hole binary64 x))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* 1/2 x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))

Calls

3 calls:

Time	Variable		Point	Expression
78.0ms	x	@	-inf	((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))
4.0ms	x	@	inf	((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))
2.0ms	x	@	0	((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))

Time

Variable

Point

Expression

78.0ms

-inf

((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))

4.0ms

inf

((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))

2.0ms

((/ (* (/ (sin x) x) (tan (/ x 2))) x) (* (/ (sin x) x) (tan (/ x 2))) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) 2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (* (* 1/2 x) x) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (cos x) (* x x))) (/ 1 (* x x)) 1 (* x x) (/ (cos x) (* x x)) (cos x) (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* x x) (* (* x x) (cos x))) (* (* x x) (cos x)) (* (* x x) (* x x)) (* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)))

rewrite251.0ms (6.1%)

Memory

44.2MiB live, 307.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	1762
0	279	1696
1	990	1564
0	7757	1498

Stop Event

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

Counts

113 → 805

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x)
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x)))
(.f64 (.f64 x x) (cos.f64 x))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 1/2))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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 x #s(hole binary64 x))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* 1/2 x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))
#s(approx (/ (* (/ (sin x) x) (tan (/ x 2))) x) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (/ (sin x) x) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (- (/ 1 (* x x)) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- (* x x) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* x x) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))

Outputs
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) x) x)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) x)) x)
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) (.f64 (.f64 x x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (.f64 x x))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) (.f64 x x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (.f64 x x))) (sin.f64 x))
(/.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (.f64 (*.f64 (neg.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 x (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) x)) (.f64 (sin.f64 x) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 (.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (cos.f64 x) (.f64 (neg.f64 x) x))) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) x) (.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) x)) (.f64 x (neg.f64 (cos.f64 x)))) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 x (.f64 (.f64 x x) (/.f64 (cos.f64 x) x))) (.f64 (.f64 x x) x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (neg.f64 (cos.f64 x)))) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (cos.f64 x) x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) x)) (/.f64 (fabs.f64 x) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (/.f64 (neg.f64 x) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 (.f64 x x) x)) (/.f64 x x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x x) (/.f64 x (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 x (/.f64 x (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
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(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
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(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 (cos.f64 x) x) x) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 (*.f64 x x) x) (neg.f64 x))))
(fma.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) x)) (/.f64 (fabs.f64 x) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (neg.f64 x) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (/.f64 (neg.f64 x) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 x (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x (.f64 (.f64 x x) x)) (/.f64 x x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (/.f64 x x) (/.f64 x (.f64 (.f64 x x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (*.f64 x x) x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(fma.f64 x (/.f64 x (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 (cos.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) 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)))
#s(approx (/ (sin x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (* (* 1/2 x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (cos x) (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) x)) x))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) (.f64 x x)))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) x))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(literal 1/2 binary64))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* x 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) (* x x)) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (.f64 (.f64 (cos.f64 x) x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
#s(approx (/ (sin x) (* x x)) (/.f64 (sin.f64 x) (*.f64 x x)))

eval480.0ms (11.7%)

Memory: -84.9MiB live, 121.1MiB allocated; 697ms collecting garbage
Compiler: Compiled 13 575 to 1 908 computations (85.9% saved)

prune22.0ms (0.5%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	692	9	701
Fresh	4	4	8
Picked	2	3	5
Done	0	6	6
Total	698	22	720

Accuracy

100.0%

Counts

720 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
✓	49.3%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
	25.4%	(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
✓	29.6%	(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
✓	49.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
	14.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
✓	14.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
	1.8%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (*.f64 x x)))
	40.4%	(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
✓	48.1%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	46.5%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
✓	24.8%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
	99.8%	(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
	14.8%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
	15.1%	(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x)) (.f64 (.f64 x x) (*.f64 x x)))
	26.1%	(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
	48.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
✓	48.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
	75.1%	(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
	74.4%	#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
✓	53.1%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
✓	54.3%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 952 to 359 computations (62.3% saved)

regimes21.0ms (0.5%)

Memory

-18.5MiB live, 28.1MiB allocated; 2ms collecting garbage

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 x x))) x)
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (.f64 x x))

Outputs
(/.f64 (.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)))) x)

Calls

2 calls:

10.0ms	x
8.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes14.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (-.f64 x (.f64 (cos.f64 x) x)) (.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (cos.f64 x) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (.f64 x x)) (.f64 x x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (cos.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 (cos.f64 x) x))) (.f64 (.f64 x x) (.f64 x x))) x)
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (/.f64 (sin.f64 x) (.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.5%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

-38.1MiB live, 8.5MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
77.2%	3	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.1%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) x) x)
(/.f64 #s(approx (- (* x x) (* (* x x) (cos x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 #s(approx (- 1 (cos x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (*.f64 x x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
76.5%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.9b remaining (-2.9%)

Threshold costs -0.9b (-2.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
54.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
54.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch14.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.703562316619694e-6	766.7341614400444

Samples

5.0ms	112×	0	valid
3.0ms	32×	1	valid

Compiler

Compiled 218 to 181 computations (17% saved)

Precisions

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

ival-cos: 2.0ms (45% of total)

adjust: 1.0ms (22.5% of total)

ival-sub!: 1.0ms (22.5% of total)

ival-div!: 1.0ms (22.5% of total)

ival-mult!: 1.0ms (22.5% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.703562316619694e-6	766.7341614400444

Compiler

Compiled 218 to 181 computations (17% saved)

bsearch13.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1092517938306263e+75	2.0278233986573595e+77

Samples

8.0ms

112×

valid

Compiler

Compiled 151 to 129 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 4.0ms (73.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

derivations121.0ms (3%)

Memory

-9.6MiB live, 86.9MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 103 to 37 computations (64.1% saved)

preprocess40.0ms (1%)

Memory: -27.9MiB live, 63.0MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 428 to 230 computations (46.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (45.2%)

explain222.0ms (5.4%)

preprocess38.0ms (0.9%)

series3.0ms (0.1%)

rewrite125.0ms (3.1%)

eval85.0ms (2.1%)

prune7.0ms (0.2%)

series89.0ms (2.2%)

rewrite258.0ms (6.3%)

eval53.0ms (1.3%)

prune18.0ms (0.4%)

series20.0ms (0.5%)

rewrite185.0ms (4.5%)

eval47.0ms (1.2%)

prune16.0ms (0.4%)

series86.0ms (2.1%)

rewrite251.0ms (6.1%)

eval480.0ms (11.7%)

prune22.0ms (0.5%)

regimes21.0ms (0.5%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch14.0ms (0.3%)

bsearch1.0ms (0%)

bsearch13.0ms (0.3%)

derivations121.0ms (3%)

preprocess40.0ms (1%)

end0.0ms (0%)

Profiling