Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze455.0ms (6.6%)

Memory

-90.7MiB live, 19.8MiB allocated; 680ms 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)

sample4.6s (67%)

Memory

105.8MiB live, 5 464.0MiB allocated; 993ms collecting garbage

Samples

2.4s	26 077×	0	invalid
745.0ms	5 608×	1	valid
168.0ms	2 648×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-sin: 767.0ms (36.8% of total)

ival-fabs: 381.0ms (18.3% of total)

ival-<: 295.0ms (14.2% of total)

ival-add!: 165.0ms (7.9% of total)

adjust: 157.0ms (7.5% of total)

ival-mult!: 141.0ms (6.8% of total)

ival-sub!: 97.0ms (4.7% of total)

ival-and: 66.0ms (3.2% of total)

ival-assert: 13.0ms (0.6% of total)

Bogosity

explain87.0ms (1.3%)

Memory

33.7MiB live, 82.7MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	3	(8.822160854320601e-150 2.361472059502107e-152)	5	(-6.01688913359833e-185 8.686698557025722e-187)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
0	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	225	11

Confusion

	Predicted +	Predicted -
+	222	5
-	3	26

Precision

0.9866666666666667

Recall

0.9779735682819384

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	222	5	0
-	3	6	20

Precision?

0.961864406779661

Recall?

1.0

Freqs

test

number	freq
0	31
1	225

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	356×	1	valid
7.0ms	156×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 11.0ms (48.4% of total)

adjust: 7.0ms (30.8% of total)

ival-sub!: 2.0ms (8.8% of total)

ival-add!: 2.0ms (8.8% of total)

preprocess81.0ms (1.2%)

Memory

-33.3MiB live, 13.1MiB allocated; 3ms 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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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))

rewrite178.0ms (2.6%)

Memory

4.4MiB live, 97.9MiB allocated; 11ms 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 (0.2%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 964 to 373 computations (81% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Accuracy

100.0%

Counts

104 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	#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))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 59 to 42 computations (28.8% saved)

series19.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

19 → 97

Calls

Call 1

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

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 (* (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 (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos 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 (* -1 x))) (sin x))))
#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 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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) (* (cos x) -1/6) -1/6 (* -1/2 (sin x)) -1/2)
3.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) (* (cos x) -1/6) -1/6 (* -1/2 (sin x)) -1/2)
3.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) (* (cos x) -1/6) -1/6 (* -1/2 (sin x)) -1/2)
3.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) (* (cos x) -1/6) -1/6 (* -1/2 (sin x)) -1/2)
3.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (sin eps) eps (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) x (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) (* (cos x) -1/6) -1/6 (* -1/2 (sin x)) -1/2)

rewrite206.0ms (3%)

Memory

-27.0MiB live, 205.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	2660
0	464	2634
1	2668	2634
0	10282	2530

Stop Event

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

Counts

116 → 191

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
#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))
(.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 (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))
(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)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
#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 (* (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 (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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos 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 (* -1 x))) (sin x))))
#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 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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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 (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))
(.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) (.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) (.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))
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(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))
(-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 (sin.f64 x) eps)))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) 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 (.f64 x x) #s(literal 1/24 binary64)) #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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -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 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 x x) 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 (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #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 #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)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#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))
#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 (cos.f64 x) #s(literal -1/6 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 (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #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)
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos 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))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (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)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.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 (cos.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))

eval33.0ms (0.5%)

Memory: 5.9MiB live, 52.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 693 to 1 180 computations (87.8% saved)

prune10.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	230	6	236
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	231	9	240

Accuracy

100.0%

Counts

240 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	#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 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
✓	100.0%	#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))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.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))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))

Compiler

Compiled 363 to 242 computations (33.3% saved)

series27.0ms (0.4%)

Memory

-9.0MiB live, 37.8MiB allocated; 4ms collecting garbage

Counts

43 → 143

Calls

Call 1

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

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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (+ (* (* 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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720)
5.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720)
4.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720)
2.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720)
2.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) 1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (+ (* -1/720 (* x x)) 1/24) -1/720)

rewrite233.0ms (3.4%)

Memory

11.6MiB live, 200.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	585	4187
0	640	3945
1	3432	3945
0	8392	3813

Stop Event

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

Counts

186 → 371

Calls

Call 1

Inputs
#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 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.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 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps)
(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 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (* (cos x) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))
(.f64 #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 (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)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.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))
(.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(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)))
(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))
(-.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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 #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (+ (* (* 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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* 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 (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))
(.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 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))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))
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#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)
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#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 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#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 (cos x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos x) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (cos x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#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 (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* x x) 1/24) 1/2) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/24 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x)))) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) x)))))
#s(approx (cos x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))))
#s(approx (+ x (/ (PI) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #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 (cos.f64 x) #s(literal -1/6 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 (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) 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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (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 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx eps eps)
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))

eval149.0ms (2.2%)

Memory: -32.5MiB live, 105.4MiB allocated; 96ms collecting garbage
Compiler: Compiled 18 928 to 2 579 computations (86.4% saved)

prune17.0ms (0.2%)

Memory

-12.4MiB live, 32.8MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	489	4	493
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	491	11	502

Accuracy

100.0%

Counts

502 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	#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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
✓	100.0%	#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))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.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))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	5.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
▶	20.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))

Compiler

Compiled 306 to 209 computations (31.7% saved)

series57.0ms (0.8%)

Memory

1.6MiB live, 101.9MiB allocated; 10ms collecting garbage

Counts

50 → 219

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(.f64 (.f64 x x) eps)
(*.f64 x x)
x
eps
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 (/.f64 (sin.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 (sin.f64 x) (*.f64 eps eps))
(sin.f64 x)
(*.f64 eps eps)
(fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 (cos.f64 x) eps)
(cos.f64 x)
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(PI.f64)
#s(literal 1/2 binary64)
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
(.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps)
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
#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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
(.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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps)
(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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(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)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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 (* (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 (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x 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 (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* (pow eps 4) (* x (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2)))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* x (+ (* (pow eps 4) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps))))) (* (pow eps 4) (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* x (+ (* x (+ (* (pow eps 4) (* x (- (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 (pow eps 2)))) 1/144))) (* (pow eps 4) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))))) (* (pow eps 4) (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (+ (* 1/12 (/ 1 eps)) (* x (- (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 (pow eps 2)))) 1/144))))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (/ x (pow eps 2))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow eps 2))) (/ 1 (pow eps 2))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow eps 2))) (* 1/6 (/ 1 (pow eps 2))))) (/ 1 (pow eps 2))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow eps 2))) (* 1/120 (/ 1 (pow eps 2))))) (* 1/6 (/ 1 (pow eps 2))))) (/ 1 (pow eps 2))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (+ (* 1/12 (/ 1 eps)) (* x (- (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) 1/144))))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (sin (* 1/2 (PI))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow eps 3))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* x (- (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) 1/144)))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (* 1/2 (PI))) (pow eps 3))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (/ (sin (* 1/2 (PI))) (pow eps 3)) (/ (* x (cos (* 1/2 (PI)))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow eps 3))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow eps 3))))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1/720 (* eps (pow x 6)))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1/720 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* -1/720 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3)))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (/ (sin x) (pow eps 2))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3)))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 eps)))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (pow eps 3))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (cos x)))) (pow eps 3))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* 1/24 (* (pow eps 3) (sin x)))) (pow eps 3))))
#s(approx (pow eps 3) #s(hole binary64 (pow eps 3)))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2))) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* (* x x) eps) (* x x) x eps -1/720 (* 1/24 eps) 1/24 (* -1/2 eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (/ (sin x) (* eps eps)) (sin x) (* eps eps) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (/ (cos x) eps) (cos x) -1/6 (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2 (pow eps 3) 3 (pow eps 4) 4 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (* (sin x) eps) (* (cos x) -1/6) (* -1/2 (sin x)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)))
11.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* (* x x) eps) (* x x) x eps -1/720 (* 1/24 eps) 1/24 (* -1/2 eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (/ (sin x) (* eps eps)) (sin x) (* eps eps) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (/ (cos x) eps) (cos x) -1/6 (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2 (pow eps 3) 3 (pow eps 4) 4 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (* (sin x) eps) (* (cos x) -1/6) (* -1/2 (sin x)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)))
9.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* (* x x) eps) (* x x) x eps -1/720 (* 1/24 eps) 1/24 (* -1/2 eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (/ (sin x) (* eps eps)) (sin x) (* eps eps) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (/ (cos x) eps) (cos x) -1/6 (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2 (pow eps 3) 3 (pow eps 4) 4 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (* (sin x) eps) (* (cos x) -1/6) (* -1/2 (sin x)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)))
7.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* (* x x) eps) (* x x) x eps -1/720 (* 1/24 eps) 1/24 (* -1/2 eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (/ (sin x) (* eps eps)) (sin x) (* eps eps) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (/ (cos x) eps) (cos x) -1/6 (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2 (pow eps 3) 3 (pow eps 4) 4 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (* (sin x) eps) (* (cos x) -1/6) (* -1/2 (sin x)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)))
6.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* (* x x) eps) (* x x) x eps -1/720 (* 1/24 eps) 1/24 (* -1/2 eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (/ (sin x) (* eps eps)) (sin x) (* eps eps) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (/ (cos x) eps) (cos x) -1/6 (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (sin (+ (* (PI) 1/2) x)) (+ (* (PI) 1/2) x) (PI) 1/2 (pow eps 3) 3 (pow eps 4) 4 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* (* x x) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (* (sin x) eps) (* (cos x) -1/6) (* -1/2 (sin x)) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)))

rewrite231.0ms (3.3%)

Memory

-0.7MiB live, 231.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	835	7747
0	905	7382
1	4974	7382
0	8515	7113

Stop Event

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

Counts

269 → 427

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(.f64 (.f64 x x) eps)
(*.f64 x x)
x
eps
#s(literal -1/720 binary64)
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))
(fma.f64 (/.f64 (sin.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))))))
(/.f64 (sin.f64 x) (*.f64 eps eps))
(sin.f64 x)
(*.f64 eps eps)
(fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 (cos.f64 x) eps)
(cos.f64 x)
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(PI.f64)
#s(literal 1/2 binary64)
(pow.f64 eps #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 eps #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
(.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps)
#s(approx (cos 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 x x) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
#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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
(.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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps)
(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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
(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)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 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 (* (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 (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x 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 (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2))))) (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (+ (* eps (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))) (* x (+ (* eps (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (+ (* eps (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* (pow eps 4) (* x (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2)))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* x (+ (* (pow eps 4) (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps))))) (* (pow eps 4) (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (+ (* x (+ (* x (+ (* (pow eps 4) (* x (- (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 (pow eps 2)))) 1/144))) (* (pow eps 4) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))))) (* (pow eps 4) (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))))) (* (pow eps 4) (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (- (+ (* x (- (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (+ (* 1/12 (/ 1 eps)) (* x (- (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 (pow eps 2)))) 1/144))))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (* 1/2 (/ 1 (pow eps 2))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (/ x (pow eps 2))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow eps 2))) (/ 1 (pow eps 2))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow eps 2))) (* 1/6 (/ 1 (pow eps 2))))) (/ 1 (pow eps 2))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow eps 2))) (* 1/120 (/ 1 (pow eps 2))))) (* 1/6 (/ 1 (pow eps 2))))) (/ 1 (pow eps 2))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (/ (sin (* 1/2 (PI))) (pow eps 3)) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/12 (/ 1 eps)))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (- (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (+ (* 1/12 (/ 1 eps)) (* x (- (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) 1/144))))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3))) (* 1/6 (/ 1 eps)))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ 1 eps)))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (/ (cos x) eps) #s(hole binary64 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) eps)) (* 1/24 (/ 1 eps)))) (* 1/2 (/ 1 eps)))) (/ 1 eps))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (sin (* 1/2 (PI))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow eps 3))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* x (+ 1/24 (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* x (- (* -1/6 (/ (cos (* 1/2 (PI))) (pow eps 3))) 1/144)))) (/ (cos (* 1/2 (PI))) (pow eps 3))))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (* 1/2 (PI))) (pow eps 3))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (/ (sin (* 1/2 (PI))) (pow eps 3)) (/ (* x (cos (* 1/2 (PI)))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow eps 3))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow eps 3))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow eps 3))))) (/ (cos (* 1/2 (PI))) (pow eps 3)))) (/ (sin (* 1/2 (PI))) (pow eps 3)))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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) -1/2) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/6 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/12 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/6 (pow eps 2)) (* x (+ (cos (* 1/2 (PI))) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/12 (pow eps 2)) (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#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) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1/720 (* eps (pow x 6)))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1/720 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* -1/720 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3)))))))
#s(approx (/ (sin x) (* eps eps)) #s(hole binary64 (/ (sin x) (pow eps 2))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))
#s(approx (/ (cos x) eps) #s(hole binary64 (/ (cos x) eps)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3)))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (+ (* 1/24 (sin x)) (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) #s(hole binary64 (/ (sin (- (* 1/2 (PI)) (* -1 x))) (pow eps 3))))
#s(approx (sin (+ (* (PI) 1/2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (* (PI) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) (* -1 x))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* eps (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 eps)))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) (pow eps 3))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) (pow eps 3))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* -1/6 (* (pow eps 2) (cos x)))) (pow eps 3))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (/ (+ (sin (+ x (* 1/2 (PI)))) (* 1/24 (* (pow eps 3) (sin x)))) (pow eps 3))))
#s(approx (pow eps 3) #s(hole binary64 (pow eps 3)))
#s(approx (pow eps 4) #s(hole binary64 (pow eps 4)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) (pow eps 3))))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (sin (+ x (* 1/2 (PI)))) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) (pow eps 2))) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin (+ x (* 1/2 (PI)))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
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(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps)))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal -1/24 binary64) (*.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.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) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) eps)
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) eps))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 eps (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (.f64 eps (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) eps)) x (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))))) x (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) eps)))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (.f64 (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) eps)) x (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64)))))) x (.f64 (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/6 binary64) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) x (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) eps)))) x (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))) x (.f64 (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64)))) x (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) eps)) x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/24 binary64)) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/6 binary64) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) x (/.f64 #s(literal 1/12 binary64) eps))) x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/24 binary64)) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (/ (sin x) (* eps eps)) (/.f64 x (*.f64 eps eps)))
#s(approx (/ (sin x) (* eps eps)) (.f64 (fma.f64 (/.f64 (.f64 x x) (*.f64 eps eps)) #s(literal -1/6 binary64) (pow.f64 eps #s(literal -2 binary64))) x))
#s(approx (/ (sin x) (* eps eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x x) (.f64 eps eps)) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal -2 binary64)))) (*.f64 x x) (pow.f64 eps #s(literal -2 binary64))) x))
#s(approx (/ (sin x) (* eps eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 x x) (.f64 eps eps)) (.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal -2 binary64)))) (.f64 x x) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal -2 binary64)))) (*.f64 x x) (pow.f64 eps #s(literal -2 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 (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps)))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (fma.f64 (+.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/24 binary64)) x (-.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/12 binary64) eps)) x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/24 binary64)) x (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/6 binary64)) #s(literal 1/144 binary64)) x (/.f64 #s(literal 1/12 binary64) eps))) x (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/24 binary64)) x (-.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) eps))))
#s(approx (/ (cos x) eps) (pow.f64 eps #s(literal -1 binary64)))
#s(approx (/ (cos x) eps) (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -1/2 binary64) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x x) eps) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (/ (cos x) eps) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (pow.f64 eps #s(literal -1 binary64))))
#s(approx (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (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)))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))))
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#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 eps #s(literal 3 binary64))))
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#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) x)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (+ (* (PI) 1/2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* x x) -1/2) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) eps)) x (.f64 #s(literal 1/12 binary64) (.f64 eps eps)))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 x x) 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 (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (sin x)) (.f64 (-.f64 (.f64 #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 #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 (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (.f64 (.f64 #s(literal -1/720 binary64) eps) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) eps))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) eps)))))
#s(approx (+ (* (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (* x x)) eps) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) eps (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (/.f64 eps (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) eps))))
#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) eps))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) eps)) (.f64 x x)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 (sin.f64 x) eps) eps) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 (/.f64 (/.f64 (sin.f64 x) eps) eps) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64)))))))
#s(approx (/ (sin x) (* eps eps)) (/.f64 (/.f64 (sin.f64 x) eps) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))))
#s(approx (/ (cos x) eps) (/.f64 (cos.f64 x) eps))
#s(approx (sin (+ x (/ (PI) 2))) (cos.f64 x))
#s(approx (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (sin (+ (* (PI) 1/2) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ (* (PI) 1/2) x) x)
#s(approx (+ (* (PI) 1/2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) 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 (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (.f64 #s(literal -1/6 binary64) (cos.f64 x))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (cos x) -1/6) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
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#s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (pow eps 4)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))))
#s(approx (+ (* (/ (sin x) (* eps eps)) -1/2) (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3))))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (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 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps)) eps))) eps))))
#s(approx (+ (* (/ (cos x) eps) -1/6) (+ (* 1/24 (sin x)) (/ (sin (+ (* (PI) 1/2) x)) (pow eps 3)))) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (*.f64 eps eps)))) eps))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)))))
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (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) (neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))) eps))) eps)))))
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))

eval76.0ms (1.1%)

Memory: 2.4MiB live, 148.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 32 792 to 3 033 computations (90.8% saved)

prune21.0ms (0.3%)

Memory

-6.2MiB live, 40.9MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	571	4	575
Fresh	0	0	0
Picked	2	2	4
Done	1	6	7
Total	574	12	586

Accuracy

100.0%

Counts

586 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	100.0%	#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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
✓	100.0%	#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))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	5.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
	20.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
	6.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) eps) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))))))) (pow.f64 eps #s(literal 4 binary64)))))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) x) x eps)))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.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)) eps)) (*.f64 x x) eps)))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))

Compiler

Compiled 1 147 to 450 computations (60.8% saved)

regimes15.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (+ (* (* (* x x) eps) -1/720) (* 1/24 eps)) (* x x)) (* -1/2 eps)) (.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)) eps)) (*.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.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(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) x) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#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 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 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 4 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (sin (+ x (/ (PI) 2)))) eps) (.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) eps) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (pow.f64 eps #s(literal 3 binary64))))))))) (pow.f64 eps #s(literal 4 binary64)))))

Outputs

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

Calls

3 calls:

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

regimes11.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

#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))

Calls

3 calls:

4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps
3.0ms	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)

regimes15.0ms (0.2%)

Memory

-32.6MiB live, 14.5MiB allocated; 1ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	eps
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.5%)

Memory

-39.1MiB live, 8.6MiB allocated; 1ms collecting garbage

Accuracy

Total -60.2b remaining (-13422.1%)

Threshold costs -60.2b (-13422.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

29.0ms	x
1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	eps

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations228.0ms (3.3%)

Memory

41.4MiB live, 226.9MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 191 to 69 computations (63.9% saved)

preprocess66.0ms (1%)

Memory: -38.2MiB live, 108.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 478 to 216 computations (54.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze455.0ms (6.6%)

sample4.6s (67%)

explain87.0ms (1.3%)

preprocess81.0ms (1.2%)

series5.0ms (0.1%)

rewrite178.0ms (2.6%)

eval11.0ms (0.2%)

prune4.0ms (0.1%)

series19.0ms (0.3%)

rewrite206.0ms (3%)

eval33.0ms (0.5%)

prune10.0ms (0.1%)

series27.0ms (0.4%)

rewrite233.0ms (3.4%)

eval149.0ms (2.2%)

prune17.0ms (0.2%)

series57.0ms (0.8%)

rewrite231.0ms (3.3%)

eval76.0ms (1.1%)

prune21.0ms (0.3%)

regimes15.0ms (0.2%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes32.0ms (0.5%)

derivations228.0ms (3.3%)

preprocess66.0ms (1%)

end0.0ms (0%)

Profiling