Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze783.0ms (6.5%)

Memory

-479.7MiB live, 219.8MiB allocated; 898ms 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)

sample8.6s (71.3%)

Memory

164.2MiB live, 6 737.0MiB allocated; 2.5s collecting garbage

Samples

3.1s	26 310×	0	invalid
2.9s	5 806×	2	valid
537.0ms	2 388×	1	valid
8.0ms	62×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.1s

ival-cos: 2.1s (41.4% of total)

const: 600.0ms (11.9% of total)

adjust: 501.0ms (9.9% of total)

ival-add: 332.0ms (6.6% of total)

ival-<=: 293.0ms (5.8% of total)

ival-sub: 288.0ms (5.7% of total)

ival-fabs: 281.0ms (5.6% of total)

ival-<: 273.0ms (5.4% of total)

ival-mult: 226.0ms (4.5% of total)

ival-and: 108.0ms (2.1% of total)

exact: 47.0ms (0.9% of total)

ival-assert: 15.0ms (0.3% of total)

Bogosity

explain187.0ms (1.5%)

Memory

17.3MiB live, 64.3MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

121.0ms	350×	2	valid
20.0ms	160×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-cos: 85.0ms (71.5% of total)

adjust: 24.0ms (20.2% of total)

ival-sub: 6.0ms (5% of total)

ival-add: 4.0ms (3.4% of total)

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

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

preprocess225.0ms (1.9%)

Memory

-15.5MiB live, 44.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	53	48
2	93	48
3	124	48
4	132	48
5	154	48
6	238	48
7	800	48
8	5175	48
0	6	7
0	10	7
1	22	7
2	40	7
3	65	7
4	78	7
5	100	7
6	184	7
7	742	7
8	5073	7
0	8505	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin 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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- 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	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

simplify135.0ms (1.1%)

Memory

-0.1MiB live, 45.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	490
1	353	487
2	862	487
3	2733	486
4	6579	486
0	8119	466

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin 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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

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

rewrite122.0ms (1%)

Memory

13.5MiB live, 58.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	62	18
2	615	18
0	8141	18

Stop Event

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

Counts

6 → 140

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (sin.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 (sin.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 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.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 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.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 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))))) (/.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(fma.f64 (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (/.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (.f64 (cos.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 (neg.f64 (cos.f64 x)) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
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eps
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))

eval21.0ms (0.2%)

Memory: -29.6MiB live, 16.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 856 to 730 computations (85% saved)

prune7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	162	8	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	9	171

Accuracy

99.8%

Counts

171 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	52.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	52.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	82.4%	(.f64 (.f64 (sin.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))
▶	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps)))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
▶	78.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 267 to 198 computations (25.8% saved)

series31.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

39 → 180

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* 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 (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -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 (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* x x) (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) -2)
5.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* x x) (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) -2)
5.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* x x) (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) -2)
4.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* x x) (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) -2)
4.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (* x x) (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) -2)

simplify145.0ms (1.2%)

Memory

1.5MiB live, 53.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	671	3833
1	1909	3731
2	6899	3725
0	8345	3463

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 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 (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* 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 (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -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 (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
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#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) eps))
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#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
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#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))
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#s(approx x x)
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#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
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#s(approx (+ eps x) eps)
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#s(approx (+ eps x) (+.f64 eps x))
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#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ eps x) x)
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) (.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ eps x) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (- (cos eps) 1) (.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64)))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) (cos.f64 x))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 (sin.f64 x)) eps (cos.f64 x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (cos (+ x eps)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 x)) eps (.f64 #s(literal 1/4 binary64) (cos.f64 x))) eps (.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps (.f64 #s(literal 1/4 binary64) (cos.f64 x))) eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sin.f64 x) eps) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (+ eps x) x) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 eps)))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ eps x) (*.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)))

rewrite84.0ms (0.7%)

Memory

-16.4MiB live, 29.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	276
0	74	264
1	275	256
0	2322	252

Stop Event

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

Counts

39 → 301

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 x)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 eps x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 eps x) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (-.f64 x (+.f64 eps x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (+.f64 (neg.f64 eps) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 0 binary64) eps))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x eps)
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (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 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.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 x (-.f64 x eps) (*.f64 eps 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 (/.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 x (-.f64 x eps) (.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))))
(+.f64 eps x)
(+.f64 x eps)
#s(literal 2 binary64)
(sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 eps) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 eps) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 eps) #s(literal 0 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64)))
(-.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (+.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 0 binary64)) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x eps)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x eps)))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(-.f64 (+.f64 eps x) x)
(+.f64 #s(literal 0 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
(+.f64 x (-.f64 eps x))
#s(literal -2 binary64)

eval59.0ms (0.5%)

Memory: 2.1MiB live, 47.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 14 656 to 2 292 computations (84.4% saved)

prune22.0ms (0.2%)

Memory

-19.4MiB live, 28.2MiB allocated; 1ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	498	15	513
Fresh	3	0	3
Picked	2	3	5
Done	1	0	1
Total	504	18	522

Accuracy

100.0%

Counts

522 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
▶	51.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
✓	78.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
▶	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64)))))
	78.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 1 129 to 750 computations (33.6% saved)

series27.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

43 → 191

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
#s(literal 2 binary64)
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
(.f64 (.f64 eps eps) x)
#s(literal 1/4 binary64)
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
(sin.f64 x)

Outputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/4 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* x (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* -1/4 (pow eps 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* 1/4 (* eps x)) 1))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6)))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) eps x 2 (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) 1/2 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1/6 (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* eps eps) x) 1/4 (* (- (* (* eps eps) 1/6) 1) eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (sin x))
4.0ms	eps	@	-inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) eps x 2 (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) 1/2 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1/6 (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* eps eps) x) 1/4 (* (- (* (* eps eps) 1/6) 1) eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (sin x))
4.0ms	eps	@	0	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) eps x 2 (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) 1/2 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1/6 (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* eps eps) x) 1/4 (* (- (* (* eps eps) 1/6) 1) eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (sin x))
4.0ms	x	@	-inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) eps x 2 (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) 1/2 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1/6 (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* eps eps) x) 1/4 (* (- (* (* eps eps) 1/6) 1) eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (sin x))
3.0ms	x	@	inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) eps x 2 (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) 1/2 -2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1/6 (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* eps eps) x) 1/4 (* (- (* (* eps eps) 1/6) 1) eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (sin x))

simplify145.0ms (1.2%)

Memory

7.4MiB live, 56.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	4755
1	2046	4646
2	7323	4632
0	8449	4320

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 191

Calls

Call 1

Inputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (* (* eps eps) x) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/4 (* (pow eps 2) (pow x 2)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* x (+ (* 1/4 (pow eps 2)) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* -1/4 (pow eps 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* 1/4 (* eps x)) 1))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* eps (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6)))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))

Outputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64) (.f64 (.f64 x x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x)) #s(literal 1/6 binary64) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
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#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) (neg.f64 eps))
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#s(approx (* (- (* (* eps eps) 1/6) 1) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (* eps eps) -1/2) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)) eps) eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -1/2 binary64) eps)) (.f64 eps eps)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)) eps) eps))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) eps) eps))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 x eps) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (/ (+ (+ eps x) x) 2) (.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x eps) #s(literal -1/2 binary64))) eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (+ eps x) x) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)) eps) eps))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (neg.f64 eps)))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 x eps) #s(literal -1/4 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6)))))
#s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) #s(literal 1/6 binary64))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))))
#s(approx (* (- (* (* eps eps) 1/6) 1) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))

rewrite95.0ms (0.8%)

Memory

-9.9MiB live, 35.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	517
0	89	517
1	341	511
0	2805	486

Stop Event

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

Counts

43 → 303

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
#s(literal 2 binary64)
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
(.f64 (.f64 eps eps) x)
#s(literal 1/4 binary64)
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
(sin.f64 x)

Outputs
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(.f64 (.f64 #s(literal -2 binary64) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(neg.f64 (.f64 (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))))
(.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(fma.f64 (sin.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x eps) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (-.f64 x (+.f64 x eps)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (+.f64 (neg.f64 eps) #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 0 binary64) eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x eps)
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) eps)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x eps)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x eps) (.f64 eps 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 x eps)
(+.f64 eps x)
eps
x
#s(literal 2 binary64)
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) eps) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))
(+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64)))))
(/.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64))))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
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(fma.f64 eps (.f64 eps (.f64 #s(literal 1/4 binary64) x)) (.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) eps))
(fma.f64 eps (.f64 eps (.f64 #s(literal 1/4 binary64) x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps))
(fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (neg.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 eps eps) x)))
(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 (neg.f64 (.f64 (*.f64 eps eps) x)) #s(literal 1/4 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 (.f64 (neg.f64 eps) eps) (*.f64 #s(literal 1/4 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x))) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x))) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) x)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) eps))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps))
(+.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) x)))
(.f64 (.f64 x (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 x (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 x eps) eps)
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) x))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) x))
(.f64 (.f64 eps eps) x)
(.f64 x (.f64 eps eps))
(.f64 eps (.f64 x eps))
#s(literal 1/4 binary64)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps)
(.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/2 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal -1/2 binary64)))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(.f64 eps (.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps (sin.f64 x)) (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(literal 2 binary64)))))
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps)
(.f64 eps #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
(sin.f64 x)

eval71.0ms (0.6%)

Memory: 12.1MiB live, 57.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 27 601 to 2 953 computations (89.3% saved)

prune26.0ms (0.2%)

Memory

-14.8MiB live, 32.7MiB allocated; 1ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	611	9	620
Fresh	4	6	10
Picked	3	2	5
Done	0	3	3
Total	618	20	638

Accuracy

100.0%

Counts

638 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	99.7%	(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
✓	51.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
✓	78.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
▶	78.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 1 409 to 891 computations (36.8% saved)

series36.0ms (0.3%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

47 → 202

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
eps
x
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))
#s(literal -1/2 binary64)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)

Outputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) 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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1/4 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)) x)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/36 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1/4 (/ eps x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 1/2 (* eps (sin x)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (+ (* -1 x) (* 1/6 (* (pow eps 2) x)))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1/36 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 eps x (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) -2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (* x x) 1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) -1/2 (* (+ (* 1/6 (* eps eps)) -1) x) (+ (* 1/6 (* eps eps)) -1) -1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* -1/2 eps))
5.0ms	eps	@	-inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 eps x (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) -2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (* x x) 1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) -1/2 (* (+ (* 1/6 (* eps eps)) -1) x) (+ (* 1/6 (* eps eps)) -1) -1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* -1/2 eps))
5.0ms	eps	@	inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 eps x (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) -2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (* x x) 1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) -1/2 (* (+ (* 1/6 (* eps eps)) -1) x) (+ (* 1/6 (* eps eps)) -1) -1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* -1/2 eps))
5.0ms	x	@	-inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 eps x (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) -2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (* x x) 1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) -1/2 (* (+ (* 1/6 (* eps eps)) -1) x) (+ (* 1/6 (* eps eps)) -1) -1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* -1/2 eps))
5.0ms	x	@	inf	((* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 eps x (sin (/ (- (+ eps x) x) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) -2 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (* x x) 1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) -1/2 (* (+ (* 1/6 (* eps eps)) -1) x) (+ (* 1/6 (* eps eps)) -1) -1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 eps) 1/4 (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) 1 (* -1/2 eps))

simplify171.0ms (1.4%)

Memory

-46.2MiB live, 65.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	5529
1	2306	5397
0	8828	4936

Stop Event

1×	iter limit
1×	node limit

Counts

202 → 202

Calls

Call 1

Inputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) 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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
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#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
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#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
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#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
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#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
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#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1 x)))
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#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (+ (* -1 x) (* 1/6 (* (pow eps 2) x)))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 -1))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
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#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
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#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
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#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1/36 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
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#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))

Outputs
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (.f64 x x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (.f64 #s(literal -1/2 binary64) eps)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x (cos.f64 (.f64 #s(literal -1/2 binary64) eps))) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (neg.f64 eps)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (neg eps) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) x) x (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (*.f64 (neg.f64 x) eps))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (neg.f64 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
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#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) eps))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) eps))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)))))
#s(approx (* (+ (* 1/6 (* eps eps)) -1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* 1/6 (* eps eps)) -1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/6 (* eps eps)) -1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* 1/6 (* eps eps)) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) eps) eps))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) eps) eps))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (.f64 (fma.f64 x (+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 eps eps)) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (-.f64 (.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) eps) eps))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64))) eps) eps))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 (.f64 x x) eps) (.f64 (/.f64 x eps) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1/36 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (.f64 #s(literal -1/36 binary64) (*.f64 x eps)) eps))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) eps) eps))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (.f64 (fma.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps))) eps) eps))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (.f64 #s(literal -1/36 binary64) (.f64 eps eps)))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1/36 binary64)) eps) eps))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) eps) eps))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) -2) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
#s(approx (* (sin (/ (+ (+ eps x) x) 2)) (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (neg.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (neg.f64 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (neg.f64 eps)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))))
#s(approx (+ (* eps -1/2) (* (+ (* 1/6 (* eps eps)) -1) x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)) eps) eps))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64)) x (/.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 eps))) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) (neg.f64 eps))) (.f64 eps eps)))

rewrite108.0ms (0.9%)

Memory

42.2MiB live, 42.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	575
0	102	574
1	422	563
0	3419	553

Stop Event

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

Counts

47 → 371

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)))
(sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
eps
x
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))
#s(literal -1/2 binary64)
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)

Outputs
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(.f64 (.f64 #s(literal -2 binary64) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
(.f64 (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal -2 binary64))
(.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal -2 binary64)))
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (.f64 #s(literal -2 binary64) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(neg.f64 (.f64 (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))))
(.f64 #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)))
(sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/4 binary64) eps) eps)) (-.f64 x (.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (neg.f64 x))) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (.f64 (.f64 #s(literal 1/2 binary64) eps) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) eps) (-.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x)))
(-.f64 x (*.f64 (neg.f64 eps) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) eps) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) eps))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 1/2 binary64)
eps
x
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64)) eps) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 eps (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))
(+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) (.f64 #s(literal 1/2 binary64) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1/110592 binary64) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/96 binary64))))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 eps (*.f64 #s(literal -1/48 binary64) eps) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/48 binary64) eps)) eps))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 eps eps)) #s(literal -1/48 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/48 binary64) (.f64 eps eps)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -1/96 binary64)))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))
#s(literal -1/48 binary64)
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(literal -2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (sin x) x) (neg.f64 eps)))
(*.f64 #s(approx (sin x) x) (neg.f64 eps))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(*.f64 eps (neg.f64 #s(approx (sin x) x)))
(neg.f64 (*.f64 #s(approx (sin x) x) eps))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps) (neg.f64 eps)) x))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps) (neg.f64 eps)) x)
(.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps) (neg.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) #s(literal 2 binary64)) (.f64 eps eps)) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) (neg.f64 eps)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) x) (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps))) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps)) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) #s(literal 2 binary64)) (.f64 eps eps))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) (neg.f64 eps)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps))) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) x (.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 eps) x (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) x))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) (.f64 x (neg.f64 eps)))
(fma.f64 x (neg.f64 eps) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) x) (*.f64 (neg.f64 eps) x))
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps))) (*.f64 x (neg.f64 eps)))
(+.f64 (.f64 x (neg.f64 eps)) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps))))
(+.f64 (.f64 (neg.f64 eps) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) #s(literal 2 binary64))) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) #s(literal 2 binary64)) (.f64 eps eps))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) eps)) (neg.f64 eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps))) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) eps)) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 eps (.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) eps)) eps))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 eps eps)) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 eps) (.f64 #s(literal 1/6 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 eps #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1/6 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 eps (.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64)))
(.f64 eps (.f64 #s(literal 1/6 binary64) eps))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))

eval84.0ms (0.7%)

Memory: -30.3MiB live, 61.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 29 398 to 3 399 computations (88.4% saved)

prune32.0ms (0.3%)

Memory

-17.9MiB live, 37.5MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	5	5	10
Picked	2	3	5
Done	0	5	5
Total	633	19	652

Accuracy

100.0%

Counts

652 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	99.7%	(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
✓	51.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
✓	78.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
✓	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
✓	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
	78.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))

Compiler

Compiled 2 189 to 778 computations (64.5% saved)

regimes26.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps)))
(.f64 (.f64 (sin.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))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (pow.f64 eps #s(literal 3 binary64)))))

Outputs

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

Calls

3 calls:

9.0ms	eps
9.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (*.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))

Outputs

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

Calls

3 calls:

7.0ms	eps
7.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Calls

3 calls:

6.0ms	x
6.0ms	eps
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

-37.0MiB live, 10.3MiB allocated; 1ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

6.0ms	eps
5.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64)) eps (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) x))) eps))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Calls

3 calls:

3.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

-42.7MiB live, 4.8MiB allocated; 1ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
78.1%	1	`x`
78.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
51.9%	1	`x`
51.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify48.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	502
1	211	498
2	455	492
3	1349	486
4	4296	486

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps))) #s(literal -2 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) x) (* -1/2 eps)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (* (* eps eps) x) 1/4) (* (- (* (* eps eps) 1/6) 1) eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

derivations606.0ms (5%)

Memory

14.7MiB live, 61.4MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 502 to 128 computations (74.5% saved)

preprocess62.0ms (0.5%)

Memory: -8.1MiB live, 75.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 1 052 to 298 computations (71.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze783.0ms (6.5%)

sample8.6s (71.3%)

explain187.0ms (1.5%)

preprocess225.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

simplify135.0ms (1.1%)

rewrite122.0ms (1%)

eval21.0ms (0.2%)

prune7.0ms (0.1%)

series31.0ms (0.3%)

simplify145.0ms (1.2%)

rewrite84.0ms (0.7%)

eval59.0ms (0.5%)

prune22.0ms (0.2%)

series27.0ms (0.2%)

simplify145.0ms (1.2%)

rewrite95.0ms (0.8%)

eval71.0ms (0.6%)

prune26.0ms (0.2%)

series36.0ms (0.3%)

simplify171.0ms (1.4%)

rewrite108.0ms (0.9%)

eval84.0ms (0.7%)

prune32.0ms (0.3%)

regimes26.0ms (0.2%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify48.0ms (0.4%)

derivations606.0ms (5%)

preprocess62.0ms (0.5%)

end0.0ms (0%)

Profiling