Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze44.0ms (0.4%)

Memory

-1.1MiB live, 42.8MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.3s (70.8%)

Memory

104.5MiB live, 5 218.9MiB allocated; 1.7s collecting garbage

Samples

2.6s	5 741×	2	valid
2.6s	25 981×	0	invalid
457.0ms	2 461×	1	valid
7.0ms	54×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-cos: 2.2s (50.5% of total)

const: 507.0ms (11.5% of total)

adjust: 459.0ms (10.4% of total)

ival-mult: 251.0ms (5.7% of total)

ival-add: 249.0ms (5.7% of total)

ival-sub: 247.0ms (5.6% of total)

ival-fabs: 239.0ms (5.4% of total)

ival-<: 137.0ms (3.1% of total)

ival-and: 76.0ms (1.7% of total)

ival-assert: 14.0ms (0.3% of total)

Bogosity

explain206.0ms (2%)

Memory

-6.0MiB live, 97.3MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
135	1	(-5.190579301819162e-157 6.358613903112481e-168)	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	0	-	1	(226.58127888598622 2.4233925719757773e-8)	`(cos.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	136	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	136	0
-	1	119

Precision

0.9927007299270073

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	1	0	119

Precision?

0.9927007299270073

Recall?

1.0

Freqs

test

number	freq
0	119
1	136
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

135.0ms	342×	2	valid
23.0ms	168×	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: 135.0ms

ival-cos: 92.0ms (67.9% of total)

adjust: 32.0ms (23.6% of total)

ival-sub: 6.0ms (4.4% of total)

ival-add: 4.0ms (3% of total)

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

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

preprocess255.0ms (2.5%)

Memory

-16.9MiB live, 73.6MiB allocated; 8ms 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
▶	51.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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))

rewrite156.0ms (1.5%)

Memory

-20.5MiB live, 82.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	528
1	883	525
0	8275	504

Stop Event

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

Counts

42 → 113

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

eval12.0ms (0.1%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 017 to 430 computations (78.7% saved)

prune51.0ms (0.5%)

Memory

-16.5MiB live, 29.7MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Accuracy

99.8%

Counts

112 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

51.8%

(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))

99.5%

#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))

▶

99.3%

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

Compiler

Compiled 64 to 44 computations (31.3% saved)

series11.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

10 → 51

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
eps
(sin.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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#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 x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x))
2.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x))
2.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x))
1.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x))

rewrite163.0ms (1.6%)

Memory

13.7MiB live, 99.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	979
0	245	965
1	1425	965
0	8391	927

Stop Event

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

Counts

61 → 79

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
eps
(sin.f64 x)
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#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 x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#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)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* -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 (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx eps eps)
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))

eval9.0ms (0.1%)

Memory: 12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 169 to 421 computations (80.6% saved)

prune117.0ms (1.1%)

Memory

-1.7MiB live, 98.6MiB allocated; 20ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 105 to 69 computations (34.3% saved)

series18.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

15 → 62

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) 1/4 (* eps eps) eps (* (* eps x) 1/6) (* eps x) x 1/6 (neg eps) (* (* eps eps) -1/2) -1/2)
3.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) 1/4 (* eps eps) eps (* (* eps x) 1/6) (* eps x) x 1/6 (neg eps) (* (* eps eps) -1/2) -1/2)
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) 1/4 (* eps eps) eps (* (* eps x) 1/6) (* eps x) x 1/6 (neg eps) (* (* eps eps) -1/2) -1/2)
2.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) 1/4 (* eps eps) eps (* (* eps x) 1/6) (* eps x) x 1/6 (neg eps) (* (* eps eps) -1/2) -1/2)
2.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) x) (neg eps)) (+ (* 1/4 (* eps eps)) (* (* eps x) 1/6)) 1/4 (* eps eps) eps (* (* eps x) 1/6) (* eps x) x 1/6 (neg eps) (* (* eps eps) -1/2) -1/2)

rewrite180.0ms (1.7%)

Memory

-16.1MiB live, 129.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1784
0	299	1748
1	1658	1748
0	8086	1706

Stop Event

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

Counts

77 → 164

Calls

Call 1

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

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

eval27.0ms (0.3%)

Memory: -22.8MiB live, 23.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 086 to 1 027 computations (89.8% saved)

prune781.0ms (7.5%)

Memory

19.3MiB live, 639.7MiB allocated; 57ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	193	4	197

Accuracy

100.0%

Counts

197 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
✓	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 105 to 69 computations (34.3% saved)

series15.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

16 → 96

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
eps
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (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 eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 (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 eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))

Calls

6 calls:

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

rewrite214.0ms (2.1%)

Memory

-18.9MiB live, 167.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	2995
0	437	2956
1	2527	2956
0	10139	2856

Stop Event

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

Counts

112 → 175

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
eps
(cos.f64 x)
x
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
#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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (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 eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* 1/6 (sin x)) #s(hole binary64 (* 1/6 (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 eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))))))
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
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(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
eps
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #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 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -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 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/48 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* 1/6 (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* 1/6 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* 1/6 (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x)) #s(literal 1/36 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.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 (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.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 (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* 1/6 (sin x)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 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)) (.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)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.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 (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.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 (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (-.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)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (* 1/24 eps) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx eps eps)
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (cos.f64 x)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 eps eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))
#s(approx (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.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 (- (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))
#s(approx (* (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.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 (+ (* (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) eps) (* -1/2 (cos x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* 1/24 eps) (cos x)) (* 1/6 (sin x))) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))

eval30.0ms (0.3%)

Memory: -9.2MiB live, 37.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 196 to 1 222 computations (86.7% saved)

prune689.0ms (6.6%)

Memory

29.0MiB live, 609.8MiB allocated; 31ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	204	4	208

Accuracy

100.0%

Counts

208 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
✓	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 248 to 164 computations (33.9% saved)

derivations30.0ms (0.3%)

Memory

-47.1MiB live, 5.0MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 31 to 20 computations (35.5% saved)

preprocess12.0ms (0.1%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (0.4%)

sample7.3s (70.8%)

explain206.0ms (2%)

preprocess255.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

rewrite156.0ms (1.5%)

eval12.0ms (0.1%)

prune51.0ms (0.5%)

series11.0ms (0.1%)

rewrite163.0ms (1.6%)

eval9.0ms (0.1%)

prune117.0ms (1.1%)

series18.0ms (0.2%)

rewrite180.0ms (1.7%)

eval27.0ms (0.3%)

prune781.0ms (7.5%)

series15.0ms (0.1%)

rewrite214.0ms (2.1%)

eval30.0ms (0.3%)

prune689.0ms (6.6%)

derivations30.0ms (0.3%)

preprocess12.0ms (0.1%)

end0.0ms (0%)

Profiling