Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze42.0ms (0.4%)

Memory

25.8MiB live, 71.4MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.4s (67.2%)

Memory

-2.8MiB live, 7 043.0MiB allocated; 2.5s collecting garbage

Samples

3.4s	26 520×	0	invalid
1.1s	5 092×	1	valid
269.0ms	3 164×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-add: 852.0ms (26.3% of total)

ival-sin: 681.0ms (21% of total)

const: 472.0ms (14.6% of total)

ival-fabs: 274.0ms (8.5% of total)

adjust: 249.0ms (7.7% of total)

ival-<: 220.0ms (6.8% of total)

ival-mult: 213.0ms (6.6% of total)

ival-sub: 190.0ms (5.9% of total)

ival-and: 75.0ms (2.3% of total)

ival-assert: 15.0ms (0.5% of total)

Bogosity

explain148.0ms (1.6%)

Memory

-6.3MiB live, 131.9MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
228	1	(7.477061639754828e-200 4.9312543358513625e-202)	2	(-3.4357306229197945e-281 7.4564309883558895e-283)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
5	0	-	0	-	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	227	5
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	5	0

Confusion

	Predicted +	Predicted -
+	228	2
-	1	25

Precision

0.9956331877729258

Recall

0.991304347826087

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	228	2	0
-	1	3	22

Precision?

0.9829059829059829

Recall?

1.0

Freqs

test

number	freq
0	27
1	226
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	318×	1	valid
10.0ms	190×	0	valid
5.0ms	4×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 32.0ms (52.1% of total)

ival-sin: 15.0ms (24.4% of total)

adjust: 10.0ms (16.3% of total)

ival-sub: 4.0ms (6.5% of total)

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

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

preprocess93.0ms (1%)

Memory

-8.5MiB live, 44.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	25	50
2	32	50
3	40	50
4	53	50
5	81	50
6	140	50
7	385	50
8	1451	50
9	5230	50
0	6	7
0	10	7
1	11	7
0	11	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite138.0ms (1.5%)

Memory

11.8MiB live, 101.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	526
1	931	520
0	8567	489

Stop Event

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

Counts

42 → 105

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 (+.f64 eps x))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 eps x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 x eps)
x
eps
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (sin (+ x eps)) (sin.f64 x))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps (sin.f64 x)))
#s(approx eps eps)
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1 binary64))))

eval11.0ms (0.1%)

Memory: 21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune10.0ms (0.1%)

Memory

-27.1MiB live, 16.5MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Accuracy

100.0%

Counts

104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	22.9%	(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
✓	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.5%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 365 to 214 computations (41.4% saved)

series143.0ms (1.5%)

Memory

3.9MiB live, 150.4MiB allocated; 18ms collecting garbage

Counts

33 → 214

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(sin.f64 eps)
eps
(cos.f64 x)
x
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))
(fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))

Outputs
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (+ (* -3/2 (sin eps)) (* x (- (+ 1/6 (/ (pow (cos eps) 3) (pow (sin eps) 2))) (+ (* -1 (/ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (sin eps))) (+ (* -1 (/ (* (cos eps) (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (sin eps))) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))))) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (sin eps)))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (* -1 (cos eps)))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (+ (* -3/2 (sin eps)) (* x (- (/ (pow (cos eps) 3) (pow (sin eps) 2)) (+ (* -1 (/ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (sin eps))) (+ (* -1 (/ (* (cos eps) (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (sin eps))) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))))) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (* -1 (cos eps)))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* -3/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* x (pow (cos eps) 3)))) (pow (sin eps) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* x (+ (* 7/8 (* x (pow (sin eps) 3))) (pow (cos eps) 3))))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* -3/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* 7/8 (* (pow x 2) (pow (sin eps) 3))))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* (pow x 2) (+ (* -61/240 (* (pow x 2) (pow (sin eps) 3))) (* 7/8 (pow (sin eps) 3)))))) (pow (sin eps) 3))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (pow (cos eps) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (* (pow x 2) (pow (cos eps) 3))) (pow (cos eps) 3)))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (cos eps) 3)) (* 13/120 (* (pow x 2) (pow (cos eps) 3))))) (pow (cos eps) 3)))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (cos eps) 3)) (* (pow x 2) (+ (* -41/3024 (* (pow x 2) (pow (cos eps) 3))) (* 13/120 (pow (cos eps) 3)))))) (pow (cos eps) 3)))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* -1 (* x (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))) (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* -1 (* x (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (pow (cos eps) 2)) (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (cos eps) 2))) (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (+ (* x (- (* -1/3 (* x (pow (cos eps) 2))) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (cos eps) 2))) (* (cos eps) (sin eps))))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (pow (cos eps) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* -1/3 (* (pow x 2) (pow (cos eps) 2))) (pow (cos eps) 2)))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/3 (pow (cos eps) 2)) (* 2/45 (* (pow x 2) (pow (cos eps) 2))))) (pow (cos eps) 2)))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/3 (pow (cos eps) 2)) (* (pow x 2) (+ (* -1/315 (* (pow x 2) (pow (cos eps) 2))) (* 2/45 (pow (cos eps) 2)))))) (pow (cos eps) 2)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (* (cos eps) (sin eps)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (+ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (* (pow x 2) (* (cos eps) (+ (* 1/120 (sin eps)) (+ (* 1/24 (sin eps)) (* 1/12 (sin eps))))))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (+ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (* (pow x 2) (+ (* (cos eps) (+ (* 1/120 (sin eps)) (+ (* 1/24 (sin eps)) (* 1/12 (sin eps))))) (* (pow x 2) (* (cos eps) (+ (* -1/144 (sin eps)) (+ (* -1/240 (sin eps)) (+ (* -1/720 (sin eps)) (* -1/5040 (sin eps)))))))))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (- (+ (/ (* (pow (cos eps) 3) (pow (sin x) 3)) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))) (/ (* (pow (cos x) 3) (pow (sin eps) 3)) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))) (sin x))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (/ (+ (* (pow (cos eps) 3) (pow (sin x) 3)) (* (pow (cos x) 3) (pow (sin eps) 3))) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow (cos eps) 3) (pow (sin x) 3)) (* (pow (cos x) 3) (pow (sin eps) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow (cos x) 3) (pow (sin eps) 3))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow (cos eps) 3) (pow (sin x) 3))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (- (* (pow (cos eps) 2) (pow (sin x) 2)) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow (cos eps) 2) (pow (sin x) 2))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (/ (pow (cos x) 3) (pow (sin x) 2)) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (+ (* eps (- (* 7/8 (sin x)) (+ (* -1 (/ (* (cos x) (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2))) (+ (* -1 (/ (pow (cos x) 4) (pow (sin x) 3))) (+ (* -1/3 (/ (pow (cos x) 2) (sin x))) (+ (* 1/3 (sin x)) (+ (/ (* (cos x) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))) (sin x)) (/ (* (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (pow (sin x) 2))))))))) (/ (pow (cos x) 3) (pow (sin x) 2))) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (sin x)))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (- (* eps (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x)))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (/ (pow (cos x) 3) (pow (sin x) 2)) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x)))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (pow (sin x) 3)))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* -3/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* eps (pow (cos x) 3)))) (pow (sin x) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* eps (+ (* 7/8 (* eps (pow (sin x) 3))) (pow (cos x) 3))))) (pow (sin x) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (pow (cos x) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (* (pow eps 2) (pow (cos x) 3))) (pow (cos x) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (cos x) 3)) (* 13/120 (* (pow eps 2) (pow (cos x) 3))))) (pow (cos x) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (cos x) 3)) (* (pow eps 2) (+ (* -41/3024 (* (pow eps 2) (pow (cos x) 3))) (* 13/120 (pow (cos x) 3)))))) (pow (cos x) 3)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* -3/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* 7/8 (* (pow eps 2) (pow (sin x) 3))))) (pow (sin x) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* (pow eps 2) (+ (* -61/240 (* (pow eps 2) (pow (sin x) 3))) (* 7/8 (pow (sin x) 3)))))) (pow (sin x) 3))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (pow (sin x) 2))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (* -1 (pow (sin x) 2)))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* -1 (* (pow eps 2) (pow (sin x) 2))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* (pow eps 2) (+ (* -1 (pow (sin x) 2)) (* 1/3 (* (pow eps 2) (pow (sin x) 2))))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* (pow eps 2) (+ (* -1 (pow (sin x) 2)) (* (pow eps 2) (+ (* -2/45 (* (pow eps 2) (pow (sin x) 2))) (* 1/3 (pow (sin x) 2)))))) (pow (sin x) 2))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (* (cos x) (sin x)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (* (pow eps 2) (+ (* 1/120 (* (cos x) (sin x))) (+ (* 1/24 (* (cos x) (sin x))) (* 1/12 (* (cos x) (sin x)))))))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (* (pow eps 2) (+ (* 1/120 (* (cos x) (sin x))) (+ (* 1/24 (* (cos x) (sin x))) (+ (* 1/12 (* (cos x) (sin x))) (* (pow eps 2) (+ (* -1/144 (* (cos x) (sin x))) (+ (* -1/240 (* (cos x) (sin x))) (+ (* -1/720 (* (cos x) (sin x))) (* -1/5040 (* (cos x) (sin x))))))))))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (pow (* (cos x) (sin eps)) 3) (* (cos x) (sin eps)) 3 (pow (* (cos eps) (sin x)) 3) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))
24.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (pow (* (cos x) (sin eps)) 3) (* (cos x) (sin eps)) 3 (pow (* (cos eps) (sin x)) 3) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))
15.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (pow (* (cos x) (sin eps)) 3) (* (cos x) (sin eps)) 3 (pow (* (cos eps) (sin x)) 3) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))
12.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (pow (* (cos x) (sin eps)) 3) (* (cos x) (sin eps)) 3 (pow (* (cos eps) (sin x)) 3) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))
10.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (* (cos x) eps) -1/6 (* -1/2 (sin x)) (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (pow (* (cos x) (sin eps)) 3) (* (cos x) (sin eps)) 3 (pow (* (cos eps) (sin x)) 3) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))

rewrite270.0ms (2.9%)

Memory

9.2MiB live, 240.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1031	7859
0	1095	6955
1	6743	6675
0	8364	6389

Stop Event

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

Counts

247 → 400

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(sin.f64 eps)
eps
(cos.f64 x)
x
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
(sin.f64 x)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))))
(+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))
(fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))
(-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x))))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (+ (* -3/2 (sin eps)) (* x (- (+ 1/6 (/ (pow (cos eps) 3) (pow (sin eps) 2))) (+ (* -1 (/ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (sin eps))) (+ (* -1 (/ (* (cos eps) (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (sin eps))) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))))) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (sin eps)))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (* -1 (cos eps)))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin eps) (* x (- (* x (- (+ (* -3/2 (sin eps)) (* x (- (/ (pow (cos eps) 3) (pow (sin eps) 2)) (+ (* -1 (/ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (sin eps))) (+ (* -1 (/ (* (cos eps) (- (* -3/2 (sin eps)) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (sin eps))) (/ (* (cos eps) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (pow (sin eps) 2))))))) (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (cos eps) 2) (sin eps))) (/ (pow (cos eps) 2) (sin eps)))))) (* -1 (cos eps)))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* -3/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* x (pow (cos eps) 3)))) (pow (sin eps) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* x (+ (* 7/8 (* x (pow (sin eps) 3))) (pow (cos eps) 3))))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (pow (sin eps) 3)))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* -3/2 (* (pow x 2) (pow (sin eps) 3))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* 7/8 (* (pow x 2) (pow (sin eps) 3))))) (pow (sin eps) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (+ (* (pow x 2) (+ (* -3/2 (pow (sin eps) 3)) (* (pow x 2) (+ (* -61/240 (* (pow x 2) (pow (sin eps) 3))) (* 7/8 (pow (sin eps) 3)))))) (pow (sin eps) 3))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin eps)))))))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (pow (cos eps) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (* (pow x 2) (pow (cos eps) 3))) (pow (cos eps) 3)))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (cos eps) 3)) (* 13/120 (* (pow x 2) (pow (cos eps) 3))))) (pow (cos eps) 3)))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow x 3) (+ (* (pow x 2) (+ (* -1/2 (pow (cos eps) 3)) (* (pow x 2) (+ (* -41/3024 (* (pow x 2) (pow (cos eps) 3))) (* 13/120 (pow (cos eps) 3)))))) (pow (cos eps) 3)))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (pow (sin eps) 2)))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* -1 (* x (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2))) (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (+ (* -1 (pow (sin eps) 2)) (pow (cos eps) 2)))) (* (cos eps) (sin eps)))) (pow (sin eps) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* -1 (* x (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (pow (cos eps) 2)) (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (cos eps) 2))) (* (cos eps) (sin eps))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (* x (- (* x (+ (* x (- (* -1/3 (* x (pow (cos eps) 2))) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))) (pow (cos eps) 2))) (* (cos eps) (sin eps))))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (pow (cos eps) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* -1/3 (* (pow x 2) (pow (cos eps) 2))) (pow (cos eps) 2)))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/3 (pow (cos eps) 2)) (* 2/45 (* (pow x 2) (pow (cos eps) 2))))) (pow (cos eps) 2)))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (+ (* -1/3 (pow (cos eps) 2)) (* (pow x 2) (+ (* -1/315 (* (pow x 2) (pow (cos eps) 2))) (* 2/45 (pow (cos eps) 2)))))) (pow (cos eps) 2)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (* (cos eps) (sin eps)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (+ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (* (pow x 2) (* (cos eps) (+ (* 1/120 (sin eps)) (+ (* 1/24 (sin eps)) (* 1/12 (sin eps))))))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* x (+ (* (cos eps) (sin eps)) (* (pow x 2) (+ (* (cos eps) (+ (* -1/2 (sin eps)) (* -1/6 (sin eps)))) (* (pow x 2) (+ (* (cos eps) (+ (* 1/120 (sin eps)) (+ (* 1/24 (sin eps)) (* 1/12 (sin eps))))) (* (pow x 2) (* (cos eps) (+ (* -1/144 (sin eps)) (+ (* -1/240 (sin eps)) (+ (* -1/720 (sin eps)) (* -1/5040 (sin eps)))))))))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (- (+ (/ (* (pow (cos eps) 3) (pow (sin x) 3)) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))) (/ (* (pow (cos x) 3) (pow (sin eps) 3)) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))) (sin x))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (/ (+ (* (pow (cos eps) 3) (pow (sin x) 3)) (* (pow (cos x) 3) (pow (sin eps) 3))) (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow (cos eps) 3) (pow (sin x) 3)) (* (pow (cos x) 3) (pow (sin eps) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow (cos x) 3) (pow (sin eps) 3))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (* (pow (cos eps) 3) (pow (sin x) 3))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (- (+ (* (pow (cos eps) 2) (pow (sin x) 2)) (* (pow (cos x) 2) (pow (sin eps) 2))) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (- (* (pow (cos eps) 2) (pow (sin x) 2)) (* (cos eps) (* (cos x) (* (sin eps) (sin x)))))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (* (pow (cos eps) 2) (pow (sin x) 2))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* (cos eps) (* (cos x) (* (sin eps) (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (sin x)))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (/ (pow (cos x) 3) (pow (sin x) 2)) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) #s(hole binary64 (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (+ (* eps (- (* 7/8 (sin x)) (+ (* -1 (/ (* (cos x) (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x))))) (pow (sin x) 2))) (+ (* -1 (/ (pow (cos x) 4) (pow (sin x) 3))) (+ (* -1/3 (/ (pow (cos x) 2) (sin x))) (+ (* 1/3 (sin x)) (+ (/ (* (cos x) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))) (sin x)) (/ (* (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (pow (sin x) 2))))))))) (/ (pow (cos x) 3) (pow (sin x) 2))) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (sin x)))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (- (* eps (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x)))))))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) #s(hole binary64 (+ (sin x) (* eps (- (* eps (- (+ (* -3/2 (sin x)) (* eps (- (/ (pow (cos x) 3) (pow (sin x) 2)) (+ (* -1 (/ (* (cos x) (- (* -3/2 (sin x)) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* -1 (/ (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))) (sin x))) (/ (* (cos x) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (pow (sin x) 2))))))) (+ (* -1 (sin x)) (+ (* -1 (/ (pow (cos x) 2) (sin x))) (/ (pow (cos x) 2) (sin x)))))) (* -1 (cos x)))))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (pow (sin x) 3)))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* -3/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* eps (pow (cos x) 3)))) (pow (sin x) 3))))
#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* eps (+ (* 7/8 (* eps (pow (sin x) 3))) (pow (cos x) 3))))) (pow (sin x) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (pow (cos x) 3))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (* (pow eps 2) (pow (cos x) 3))) (pow (cos x) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (cos x) 3)) (* 13/120 (* (pow eps 2) (pow (cos x) 3))))) (pow (cos x) 3)))))
#s(approx (pow (* (cos x) (sin eps)) 3) #s(hole binary64 (* (pow eps 3) (+ (* (pow eps 2) (+ (* -1/2 (pow (cos x) 3)) (* (pow eps 2) (+ (* -41/3024 (* (pow eps 2) (pow (cos x) 3))) (* 13/120 (pow (cos x) 3)))))) (pow (cos x) 3)))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (pow (sin x) 3)))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* -3/2 (* (pow eps 2) (pow (sin x) 3))) (pow (sin x) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* 7/8 (* (pow eps 2) (pow (sin x) 3))))) (pow (sin x) 3))))
#s(approx (pow (* (cos eps) (sin x)) 3) #s(hole binary64 (+ (* (pow eps 2) (+ (* -3/2 (pow (sin x) 3)) (* (pow eps 2) (+ (* -61/240 (* (pow eps 2) (pow (sin x) 3))) (* 7/8 (pow (sin x) 3)))))) (pow (sin x) 3))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (+ (* -1 (pow (sin x) 2)) (pow (cos x) 2)))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (pow (sin x) 2))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) #s(hole binary64 (+ (* eps (- (* eps (+ (* -1 (* eps (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))) (* -1 (pow (sin x) 2)))) (* (cos x) (sin x)))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (pow (sin x) 2)))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* -1 (* (pow eps 2) (pow (sin x) 2))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* (pow eps 2) (+ (* -1 (pow (sin x) 2)) (* 1/3 (* (pow eps 2) (pow (sin x) 2))))) (pow (sin x) 2))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) #s(hole binary64 (+ (* (pow eps 2) (+ (* -1 (pow (sin x) 2)) (* (pow eps 2) (+ (* -2/45 (* (pow eps 2) (pow (sin x) 2))) (* 1/3 (pow (sin x) 2)))))) (pow (sin x) 2))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (* (cos x) (sin x)))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (* -1/6 (* (cos x) (sin x)))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (* (pow eps 2) (+ (* 1/120 (* (cos x) (sin x))) (+ (* 1/24 (* (cos x) (sin x))) (* 1/12 (* (cos x) (sin x)))))))))))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) #s(hole binary64 (* eps (+ (* (cos x) (sin x)) (* (pow eps 2) (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (* (pow eps 2) (+ (* 1/120 (* (cos x) (sin x))) (+ (* 1/24 (* (cos x) (sin x))) (+ (* 1/12 (* (cos x) (sin x))) (* (pow eps 2) (+ (* -1/144 (* (cos x) (sin x))) (+ (* -1/240 (* (cos x) (sin x))) (+ (* -1/720 (* (cos x) (sin x))) (* -1/5040 (* (cos x) (sin x))))))))))))))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))

Outputs
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(sin.f64 eps)
eps
(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)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.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 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(/.f64 (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (+.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
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(sin.f64 x)
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(fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (cos.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
#s(literal 3 binary64)
(.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (sin.f64 x))) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (sin.f64 x))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (sin.f64 x))) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps)))) (.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 x)) (sin.f64 eps) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (fabs.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (fabs.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 x) (.f64 (sin.f64 eps) (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(-.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (.f64 (.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps))))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 x eps)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)) (.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x))))))
(fma.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 eps)) (sin.f64 x) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (fabs.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (fabs.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (.f64 (sin.f64 x) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (cos.f64 x) (sin.f64 eps))) (.f64 (cos.f64 eps) (sin.f64 x))))
(.f64 (.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))
(.f64 (neg.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(.f64 (fabs.f64 (.f64 (cos.f64 eps) (sin.f64 x))) (fabs.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 (cos.f64 eps) (.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (sin.f64 x))) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(.f64 (cos.f64 x) (.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 x x)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (cos.f64 eps) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (cos.f64 eps) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (cos.f64 eps) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (cos.f64 eps) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
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#s(approx (cos x) (cos.f64 x))
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#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
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#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
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#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
#s(approx (pow (* (cos eps) (sin x)) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))
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#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
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#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
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#s(approx (sin eps) eps)
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#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
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#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (* (cos eps) (sin x)) (sin.f64 x))
#s(approx (* (cos eps) (sin x)) (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/720 binary64)) (sin.f64 x) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps) (sin.f64 x)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
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#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
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#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
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#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
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#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
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#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin.f64 x))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -3/2 binary64) (sin.f64 x)) (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (neg.f64 (sin.f64 x)))) eps (.f64 #s(literal 1 binary64) (cos.f64 x))) eps (sin.f64 x)))
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#s(approx (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) #s(literal 7/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -3/2 binary64))) (*.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (* (cos x) (sin eps)) 3) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)))
#s(approx (pow (* (cos x) (sin eps)) 3) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 eps eps)) #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (pow (* (cos x) (sin eps)) 3) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 13/120 binary64) (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (pow (* (cos x) (sin eps)) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -41/3024 binary64) (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 13/120 binary64))) (.f64 eps eps) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal 1/120 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (pow (* (cos eps) (sin x)) 3) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
#s(approx (pow (* (cos eps) (sin x)) 3) (fma.f64 (.f64 #s(literal -3/2 binary64) (.f64 eps eps)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (* (cos eps) (sin x)) 3) (fma.f64 (fma.f64 (.f64 #s(literal 7/8 binary64) (.f64 eps eps)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -3/2 binary64))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (pow (* (cos eps) (sin x)) 3) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -61/240 binary64) (.f64 eps eps)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 7/8 binary64))) (.f64 eps eps) (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -3/2 binary64))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (fma.f64 (neg.f64 eps) (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (fma.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (.f64 (cos.f64 x) (sin.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2/3 binary64)) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (fma.f64 (neg.f64 eps) (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (fma.f64 (-.f64 (.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (cos.f64 x) (sin.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (fma.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (fma.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) (.f64 (.f64 (cos.f64 x) eps) (sin.f64 x)))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) (.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2/3 binary64)) (.f64 eps eps) (*.f64 (cos.f64 x) (sin.f64 x))) eps))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2/3 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 x)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1/8 binary64))) (.f64 eps eps))) (.f64 eps eps) (*.f64 (cos.f64 x) (sin.f64 x))) eps))
#s(approx (* (* (cos x) (sin eps)) (* (cos eps) (sin x))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -2/3 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 x)) (sin.f64 x) (fma.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal 1/8 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/144 binary64) (cos.f64 x)) (sin.f64 x) (fma.f64 (.f64 #s(literal -1/240 binary64) (cos.f64 x)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1/630 binary64)))) (.f64 eps eps)))) (.f64 eps eps))) (.f64 eps eps) (.f64 (cos.f64 x) (sin.f64 x))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) eps))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (/.f64 (neg.f64 (cos.f64 x)) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))

eval107.0ms (1.1%)

Memory: 9.8MiB live, 201.0MiB allocated; 35ms collecting garbage
Compiler: Compiled 37 891 to 3 244 computations (91.4% saved)

prune93.0ms (1%)

Memory

-18.4MiB live, 79.7MiB allocated; 18ms collecting garbage

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	737	30	767
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	740	36	776

Accuracy

100.0%

Counts

776 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
✓	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
	99.1%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
	99.1%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	98.8%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	61.5%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	98.3%	#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
▶	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 2 140 to 1 352 computations (36.8% saved)

series92.0ms (1%)

Memory

29.6MiB live, 72.9MiB allocated; 9ms collecting garbage

Counts

51 → 235

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))
(.f64 #s(literal 1/40320 binary64) (.f64 eps eps))
#s(literal 1/40320 binary64)
(*.f64 eps eps)
(sin.f64 x)
(*.f64 #s(literal -1/720 binary64) (sin.f64 x))
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) (sin.f64 x))
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (*.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/12 binary64)
(.f64 (.f64 eps eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) x)

Outputs
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* -1/720 x)))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* (pow eps 2) x))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* x (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* -1 (* x (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (* 1/40320 (* eps eps)) #s(hole binary64 (* 1/40320 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/12 (* eps x)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* 1/40320 (* eps eps)) 1/40320 (* eps eps) (sin x) (* -1/720 (sin x)) -1/720 (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) 1/12 (* (* eps eps) x) (* -1/2 eps) (* (* eps eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
10.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* 1/40320 (* eps eps)) 1/40320 (* eps eps) (sin x) (* -1/720 (sin x)) -1/720 (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) 1/12 (* (* eps eps) x) (* -1/2 eps) (* (* eps eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
10.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* 1/40320 (* eps eps)) 1/40320 (* eps eps) (sin x) (* -1/720 (sin x)) -1/720 (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) 1/12 (* (* eps eps) x) (* -1/2 eps) (* (* eps eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
8.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* 1/40320 (* eps eps)) 1/40320 (* eps eps) (sin x) (* -1/720 (sin x)) -1/720 (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) 1/12 (* (* eps eps) x) (* -1/2 eps) (* (* eps eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))
6.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* 1/40320 (* eps eps)) 1/40320 (* eps eps) (sin x) (* -1/720 (sin x)) -1/720 (* 1/24 (sin x)) 1/24 (* -1/2 (sin x)) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) 1/12 (* (* eps eps) x) (* -1/2 eps) (* (* eps eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x))

rewrite237.0ms (2.5%)

Memory

-4.6MiB live, 284.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1000	7283
0	1072	6851
1	5860	6831
0	8259	6486

Stop Event

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

Counts

286 → 474

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))
(.f64 #s(literal 1/40320 binary64) (.f64 eps eps))
#s(literal 1/40320 binary64)
(*.f64 eps eps)
(sin.f64 x)
(*.f64 #s(literal -1/720 binary64) (sin.f64 x))
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) (sin.f64 x))
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (*.f64 #s(literal -1/2 binary64) eps))
#s(literal 1/12 binary64)
(.f64 (.f64 eps eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) x)
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* -1/720 x)))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 x)))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/720 (sin x)) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (* 1/24 (sin x)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* 1/12 (* (pow eps 2) x))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* x (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* -1 (* x (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (* 1/40320 (* eps eps)) #s(hole binary64 (* 1/40320 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/12 (* eps x)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 eps)
eps
(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)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.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
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(-.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) eps) eps (.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))))
(fma.f64 (sin.f64 x) #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)))))
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#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps))) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) eps) eps (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (*.f64 x x))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) eps) eps (.f64 (+.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x))) (*.f64 x x))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x) (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps))) #s(literal 1/86400 binary64)) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #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 (* -1/720 (sin x)) (*.f64 #s(literal -1/720 binary64) x))
#s(approx (* -1/720 (sin x)) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* -1/720 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* -1/720 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 x x)) #s(literal 1/86400 binary64)) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* 1/24 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120960 binary64) (.f64 x x) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) eps)
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* eps eps) x) (.f64 (.f64 eps eps) x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (neg.f64 x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (neg.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
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#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/720 (sin x)) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))
#s(approx (* 1/24 (sin x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
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#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 1/12 binary64)))
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#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
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#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
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#s(approx (/ (+ (+ eps x) x) 2) x)
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#s(approx (+ eps x) x)
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#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))))
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#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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#s(approx (sin eps) eps)
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#s(approx eps eps)
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#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))
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#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (*.f64 #s(literal -1/720 binary64) (sin.f64 x)))
#s(approx (* 1/40320 (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
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#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
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#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* eps eps) -1/2) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
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#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps))
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#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 x))
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#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
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#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 8 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x))))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 6 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (* eps eps)) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x))))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal 1/40320 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) (sin.f64 x)))
#s(approx (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 #s(literal 1/40320 binary64) (sin.f64 x))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (pow.f64 eps #s(literal -1 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 eps eps)))
#s(approx (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval196.0ms (2.1%)

Memory: -38.4MiB live, 191.9MiB allocated; 101ms collecting garbage
Compiler: Compiled 26 551 to 3 150 computations (88.1% saved)

prune41.0ms (0.4%)

Memory

-12.8MiB live, 83.2MiB allocated; 14ms collecting garbage

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	608	16	624
Fresh	11	15	26
Picked	4	1	5
Done	1	4	5
Total	624	36	660

Accuracy

100.0%

Counts

660 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
✓	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.6%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) eps) eps (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
	99.1%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x)) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
✓	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	34.0%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.2%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	98.8%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
	61.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	98.3%	#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
▶	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
	5.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 2 447 to 1 524 computations (37.7% saved)

series86.0ms (0.9%)

Memory

-0.7MiB live, 45.4MiB allocated; 4ms collecting garbage

Counts

52 → 236

Calls

Call 1

Inputs
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps))
(fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))
(.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))
(/.f64 eps x)
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(*.f64 eps eps)
#s(literal 1/12 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) #s(approx ( (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) #s(approx ( (+ (* (* x x) -1/6) 1) x) x)) eps)
#s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
(cos.f64 x)
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps)) #s(literal 1/48 binary64))
(.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)

Outputs
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* -1/2 (/ eps x))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (/ (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#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 x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (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 (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/12 (pow eps 2))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* eps (+ (* -1/2 x) (* 1/12 (* eps (pow x 2)))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* eps (- (* 1/12 eps) (* 1/2 (/ 1 x))))))
#s(approx (* (* eps eps) 1/12) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* (pow eps 2) (- 1/12 (* 1/2 (/ 1 (* eps x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	eps	@	inf	((* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (* (+ (* (* x x) -1/2) 1) eps) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/ eps x) (* (* eps eps) 1/12) (* eps eps) 1/12 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (cos x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48)
6.0ms	eps	@	-inf	((* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (* (+ (* (* x x) -1/2) 1) eps) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/ eps x) (* (* eps eps) 1/12) (* eps eps) 1/12 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (cos x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48)
5.0ms	eps	@	0	((* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (* (+ (* (* x x) -1/2) 1) eps) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/ eps x) (* (* eps eps) 1/12) (* eps eps) 1/12 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (cos x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48)
4.0ms	x	@	-inf	((* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (* (+ (* (* x x) -1/2) 1) eps) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/ eps x) (* (* eps eps) 1/12) (* eps eps) 1/12 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (cos x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48)
4.0ms	x	@	inf	((* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (cos (* (+ (* 2 x) eps) 1/2)) (* (+ (* 2 x) eps) 1/2) (+ (* 2 x) eps) 2 x eps 1/2 (sin (* 1/2 eps)) (* 1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (* (+ (* (* x x) -1/2) 1) eps) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/ eps x) (* (* eps eps) 1/12) (* eps eps) 1/12 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (cos x) (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) (sin (/ (- (+ eps x) x) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48)

rewrite182.0ms (1.9%)

Memory

20.4MiB live, 204.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	6410
0	849	6067
1	4121	6041
0	8068	5774

Stop Event

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

Counts

288 → 476

Calls

Call 1

Inputs
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(literal 1/2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps))
(fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))
(.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))
(/.f64 eps x)
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(*.f64 eps eps)
#s(literal 1/12 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) #s(approx ( (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) #s(approx ( (+ (* (* x x) -1/6) 1) x) x)) eps)
#s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
(cos.f64 x)
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps)) #s(literal 1/48 binary64))
(.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* -1/2 (/ eps x))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (/ (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#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 x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (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 (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* 1/12 (* (pow eps 2) (pow x 2)))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/12 (pow eps 2))))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* 1/2 eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* eps (+ (* -1/2 x) (* 1/12 (* eps (pow x 2)))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* eps (- (* 1/12 eps) (* 1/2 (/ 1 x))))))
#s(approx (* (* eps eps) 1/12) #s(hole binary64 (* 1/12 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) #s(hole binary64 (* (pow eps 2) (- 1/12 (* 1/2 (/ 1 (* eps x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) 2) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (* (+ (* 2 x) eps) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))

Outputs
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps eps (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 eps (.f64 #s(literal -2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps eps (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
x
eps
#s(literal 1/2 binary64)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
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#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (*.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #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 (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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 (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(approx (* (+ (* 2 x) eps) 1/2) x)
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 x x)))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(approx (* (+ (* 2 x) eps) 1/2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) x)))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (.f64 eps eps) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) x)))))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) x))) (*.f64 x x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* 2 x) eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps)) eps (.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/12 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64))) eps (.f64 #s(literal -1/4 binary64) (sin.f64 x))) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps)) eps (.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/12 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64))) eps (.f64 #s(literal -1/4 binary64) (sin.f64 x))) eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 x))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx eps eps)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* 1/2 eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* x x) -1/2) 1) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) x)) eps))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) eps) (/.f64 #s(literal 1/2 binary64) x)) eps))
#s(approx (* (* eps eps) 1/12) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(literal -1/48 binary64))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(literal 1/3840 binary64))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin (* 1/2 eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (pow.f64 eps #s(literal -1 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 eps eps)))
#s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 eps eps)))
#s(approx (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64)))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (*.f64 eps eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) eps) 1/2)) (sin (* 1/2 eps))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (* (+ (* 2 x) eps) 1/2)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* 2 x) eps) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* 2 x) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/645120 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/645120 binary64)) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/645120 binary64)) (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)))) (pow.f64 eps #s(literal 7 binary64)))))

eval112.0ms (1.2%)

Memory: 9.0MiB live, 108.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 26 328 to 3 026 computations (88.5% saved)

prune58.0ms (0.6%)

Memory

3.0MiB live, 93.0MiB allocated; 8ms collecting garbage

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	552	17	569
Fresh	11	15	26
Picked	3	2	5
Done	0	5	5
Total	566	39	605

Accuracy

100.0%

Counts

605 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
✓	99.5%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
✓	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.4%	(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps)) eps)))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	61.5%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
	100.0%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	99.4%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
	99.2%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
	98.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	99.8%	(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	98.3%	#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
✓	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
	97.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
	5.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
	5.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 4 133 to 1 463 computations (64.6% saved)

regimes59.0ms (0.6%)

Memory

-42.6MiB live, 106.6MiB allocated; 12ms collecting garbage

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps)) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x)) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))) eps) eps (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) (sin.f64 x) (.f64 #s(literal -1/720 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))

Outputs

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

Calls

3 calls:

20.0ms	eps
17.0ms	x
16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes68.0ms (0.7%)

Memory

34.2MiB live, 79.6MiB allocated; 5ms collecting garbage

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps)) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #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))) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (+ (* (* 1/40320 (* eps eps)) (sin x)) (* -1/720 (sin x))) (* eps eps)) (* 1/24 (sin x))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x)) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))

Outputs

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

Calls

3 calls:

35.0ms	x
15.0ms	eps
15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes72.0ms (0.8%)

Memory

5.9MiB live, 56.2MiB allocated; 30ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps)) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

46.0ms	eps
12.0ms	x
12.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes81.0ms (0.9%)

Memory

5.6MiB live, 99.6MiB allocated; 8ms collecting garbage

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 eps eps)) eps)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))

Outputs

(*.f64 #s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))

Calls

3 calls:

36.0ms	eps
21.0ms	x
20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes47.0ms (0.5%)

Memory

-20.9MiB live, 75.6MiB allocated; 8ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #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)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))

Outputs

(*.f64 #s(approx (* (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))

Calls

3 calls:

17.0ms	x
16.0ms	eps
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.3%)

Memory

19.8MiB live, 66.7MiB allocated; 2ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) eps (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes43.0ms (0.5%)

Memory

-14.5MiB live, 71.2MiB allocated; 22ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (/ (+ (pow (* (cos x) (sin eps)) 3) (pow (* (cos eps) (sin x)) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (* (cos x) (sin eps)) (* (cos eps) (sin x)))))) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (* (cos x) eps) -1/6) (* -1/2 (sin x))) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 #s(literal -1/2 binary64) x))) eps (cos.f64 x)) eps))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))

Calls

3 calls:

17.0ms	x
17.0ms	eps
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 x eps (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))

Calls

3 calls:

6.0ms	eps
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.4%	1	`x`
97.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.3%)

Memory

-33.5MiB live, 19.7MiB allocated; 15ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64)))))

Calls

3 calls:

17.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`eps`
97.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) #s(approx (* (+ (* (/ eps x) -1/2) (* (* eps eps) 1/12)) (* x x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))) x eps)))

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))

Calls

3 calls:

3.0ms	eps
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`x`
97.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

-31.5MiB live, 16.9MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64))) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( (/ eps x) -1/2) (* (* eps eps) 1/12)) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 x x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 #s(approx (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x eps)))

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

Calls

3 calls:

5.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Accuracy

Total -59.0b remaining (-3245.1%)

Threshold costs -59b (-3245.1%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (*.f64 #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) eps))))

#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (+ (* (+ (* 1/12 (* (* eps eps) x)) (* -1/2 eps)) x) (* (* eps eps) -1/2)) x) eps) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Calls

3 calls:

1.0ms	eps
1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`x`
97.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify47.0ms (0.5%)

Memory

5.6MiB live, 52.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	432
1	196	420
2	375	408
3	920	394
4	4068	394

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Outputs
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (+.f64 (.f64 (neg.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) eps) 1/2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)))) #s(literal 2 binary64))
(.f64 #s(approx ( (cos (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (* x x) -1/6) 1) x) x)) eps) #s(literal -1/2 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)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (* (cos x) eps) -1/6) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

derivations397.0ms (4.2%)

Memory

38.4MiB live, 357.3MiB allocated; 62ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 432 to 131 computations (69.7% saved)

preprocess124.0ms (1.3%)

Memory: -14.2MiB live, 174.4MiB allocated; 73ms collecting garbage
Compiler: Compiled 908 to 300 computations (67% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze42.0ms (0.4%)

sample6.4s (67.2%)

explain148.0ms (1.6%)

preprocess93.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite138.0ms (1.5%)

eval11.0ms (0.1%)

prune10.0ms (0.1%)

series143.0ms (1.5%)

rewrite270.0ms (2.9%)

eval107.0ms (1.1%)

prune93.0ms (1%)

series92.0ms (1%)

rewrite237.0ms (2.5%)

eval196.0ms (2.1%)

prune41.0ms (0.4%)

series86.0ms (0.9%)

rewrite182.0ms (1.9%)

eval112.0ms (1.2%)

prune58.0ms (0.6%)

regimes59.0ms (0.6%)

regimes68.0ms (0.7%)

regimes72.0ms (0.8%)

regimes81.0ms (0.9%)

regimes47.0ms (0.5%)

regimes26.0ms (0.3%)

regimes43.0ms (0.5%)

regimes18.0ms (0.2%)

regimes25.0ms (0.3%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

simplify47.0ms (0.5%)

derivations397.0ms (4.2%)

preprocess124.0ms (1.3%)

end0.0ms (0%)

Profiling