Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze42.0ms (0.3%)

Memory

38.3MiB live, 85.3MiB allocated; 2ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample8.8s (57.9%)

Memory

43.1MiB live, 8 274.3MiB allocated; 2.6s collecting garbage

Samples

3.2s	26 190×	0	invalid
2.7s	5 690×	2	valid
1.1s	2 523×	1	valid
6.0ms	43×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-cos: 2.3s (40.7% of total)

ival-fabs: 841.0ms (14.8% of total)

const: 724.0ms (12.8% of total)

adjust: 456.0ms (8% of total)

ival-mult: 295.0ms (5.2% of total)

ival-<=: 270.0ms (4.8% of total)

ival-sub: 243.0ms (4.3% of total)

ival-add: 242.0ms (4.3% of total)

ival-<: 143.0ms (2.5% of total)

ival-and: 103.0ms (1.8% of total)

exact: 40.0ms (0.7% of total)

ival-assert: 12.0ms (0.2% of total)

Bogosity

explain239.0ms (1.6%)

Memory

-47.7MiB live, 157.2MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	-	1	(235.97974279818146 6.570378600552414e-6)	`(cos.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
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	122	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	122	1
-	0	133

Precision

1.0

Recall

0.991869918699187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	1
-	0	0	133

Precision?

1.0

Recall?

0.991869918699187

Freqs

test

number	freq
0	134
1	120
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

143.0ms	366×	2	valid
19.0ms	144×	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: 101.0ms (74.8% of total)

adjust: 24.0ms (17.8% 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)

preprocess13.0ms (0.1%)

Memory

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	46	41
2	86	41
3	116	41
4	118	41
0	6	7
0	10	7
1	22	7
2	40	7
3	64	7
4	71	7
0	71	7

Stop Event

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

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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	22	18
2	40	18
3	64	18
4	71	18
0	71	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (0.6%)

Memory

-21.8MiB live, 76.2MiB allocated; 14ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 x)
accuracy	0.10369173006114649	(cos.f64 (+.f64 x eps))
accuracy	27.42462780566507	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

71.0ms	183×	2	valid
11.0ms	72×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-cos: 51.0ms (74.8% of total)

adjust: 12.0ms (17.6% of total)

ival-sub: 3.0ms (4.4% of total)

ival-add: 2.0ms (2.9% of total)

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

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

series4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

4 → 33

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -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) (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
0.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify147.0ms (1%)

Memory

7.7MiB live, 191.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	296
1	308	293
2	779	293
3	2454	292
4	6244	292
0	8035	272

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

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

rewrite157.0ms (1%)

Memory

32.7MiB live, 162.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	62	16
2	615	16
0	8130	16

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

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

eval34.0ms (0.2%)

Memory: -26.5MiB live, 37.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 780 to 715 computations (85% saved)

prune9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	151	10	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	11	162

Accuracy

99.8%

Counts

162 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
✓	56.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	55.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	55.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	83.2%	(.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))
▶	55.5%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
▶	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 351 to 262 computations (25.4% saved)

simplify113.0ms (0.7%)

Memory

-39.8MiB live, 98.9MiB allocated; 10ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
cost-diff	0	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
cost-diff	0	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
cost-diff	4	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
cost-diff	0	#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)))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 eps)
cost-diff	0	(*.f64 (neg.f64 eps) (sin.f64 x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps)
cost-diff	0	(-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x))
cost-diff	0	(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	290
0	74	286
1	126	282
2	268	282
3	644	282
4	1422	282
5	2830	282
6	5153	282
0	8109	282

Stop Event

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

Calls

Call 1

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

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

localize525.0ms (3.5%)

Memory

21.3MiB live, 458.0MiB allocated; 57ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
accuracy	0.01953125	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
accuracy	0.12068723160025455	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
accuracy	27.42462780566507	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
accuracy	0.10369173006114649	(cos.f64 (+.f64 x eps))
accuracy	0.19140625	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	1.1471594631070277	#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)))
accuracy	27.42462780566507	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	(neg.f64 eps)
accuracy	0.01171875	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	12.53565879038674	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.0	(cos.f64 eps)
accuracy	27.07835491464144	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	27.513074107972948	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0.13268151199033557	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
accuracy	0.1484375	(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps)
accuracy	0.203125	(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
accuracy	0.36328125	(*.f64 #s(literal 1/24 binary64) eps)

Samples

403.0ms	184×	2	valid
77.0ms	70×	1	valid
4.0ms	1×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 242 to 40 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-sin: 134.0ms (30.7% of total)

ival-cos: 73.0ms (16.7% of total)

ival-mult: 63.0ms (14.4% of total)

adjust: 61.0ms (14% of total)

ival-sub: 58.0ms (13.3% of total)

ival-add: 31.0ms (7.1% of total)

const: 7.0ms (1.6% of total)

ival-div: 4.0ms (0.9% of total)

ival-pi: 2.0ms (0.5% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

-0.1MiB live, 44.2MiB allocated; 9ms collecting garbage

Counts

22 → 124

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/36 (* (pow eps 2) x)))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(* 1/6 (* eps x))
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(* 1/24 (pow x 2))
(- (cos (+ eps x)) (cos x))
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* eps (sin x)))
(sin x)
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(sin (+ eps (+ x (* 1/2 (PI)))))
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(* 1/6 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(* 1/24 eps)
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)))
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)))
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)))
3.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)))
3.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)))

simplify178.0ms (1.2%)

Memory

8.1MiB live, 195.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	1907
1	1406	1889
2	5129	1877
0	8233	1701

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 122

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/36 (* (pow eps 2) x)))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(* 1/6 (* eps x))
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(* 1/24 (pow x 2))
(- (cos (+ eps x)) (cos x))
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* eps (sin x)))
(sin x)
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(sin (+ eps (+ x (* 1/2 (PI)))))
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(* 1/6 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(* 1/24 eps)
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))

Outputs
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(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)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(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)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps)
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) x) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps)
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))))
(fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/36 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
(* -1 (* eps x))
(*.f64 (neg.f64 eps) x)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 eps) x))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) x) x (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 eps) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin 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))
eps
(+ eps x)
(+.f64 eps x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(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))
(sin (+ eps (* 1/2 (PI))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) x (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(+ eps (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)
(+ eps (+ x (* 1/2 (PI))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ x (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(* 1/6 (* eps x))
(.f64 (.f64 #s(literal 1/6 binary64) x) eps)
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x)
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/36 binary64) eps)) (.f64 (*.f64 #s(literal 1/6 binary64) x) eps))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/720 binary64) eps)) x) x (.f64 #s(literal -1/36 binary64) eps)) (.f64 (*.f64 #s(literal 1/6 binary64) x) eps))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (cos.f64 x))) eps) (sin.f64 x)) eps)
(- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (cos.f64 x))) eps) (sin.f64 x))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (cos.f64 x))) eps)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin x)
(sin.f64 x)
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(cos x)
(cos.f64 x)
(sin (+ eps (+ x (* 1/2 (PI)))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x) x x)
(* x (+ 1 (* 1/2 (/ (PI) x))))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* 1/6 (* eps (sin x)))
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin 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)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin 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)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.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)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(.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)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (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))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (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))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin 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)
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (.f64 eps eps))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps))
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64))
(* -1 eps)
(neg.f64 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(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))
(sin (+ x (* 1/2 (PI))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)))
(* 1/24 eps)
(*.f64 #s(literal 1/24 binary64) eps)
(* 1/24 (* (pow eps 4) (cos x)))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 x))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (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)))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)) (pow.f64 eps #s(literal 4 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))))))
(.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/24 (* (pow eps 3) (cos x)))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)) (cos.f64 x))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin 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))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(* (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))))))
(.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) eps eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos 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))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) (neg.f64 eps))))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps)) #s(literal 1 binary64)))

rewrite225.0ms (1.5%)

Memory

-44.4MiB live, 182.5MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	216
0	74	212
1	299	208
2	2503	208
0	8589	208

Stop Event

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

Counts

22 → 323

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal -2 binary64) (.f64 (-.f64 x eps) (neg.f64 (PI.f64))))) (neg.f64 (*.f64 (-.f64 x eps) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 2 binary64) (.f64 (-.f64 x eps) (PI.f64)))) (neg.f64 (*.f64 (-.f64 x eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (neg.f64 (PI.f64))))) (neg.f64 (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (PI.f64)))) (neg.f64 (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (PI.f64)) (-.f64 x eps) (.f64 #s(literal -2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps))))) (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (PI.f64)) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal -2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (-.f64 x eps) (.f64 #s(literal 2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps))))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal -2 binary64) (.f64 (-.f64 x eps) (neg.f64 (PI.f64)))) (*.f64 (-.f64 x eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 2 binary64) (.f64 (-.f64 x eps) (PI.f64))) (*.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (neg.f64 (PI.f64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (PI.f64))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (-.f64 x eps) (.f64 #s(literal -2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps)))) (*.f64 #s(literal -2 binary64) (-.f64 x eps)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (fma.f64 (PI.f64) (-.f64 x eps) (.f64 #s(literal 2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps)))) (*.f64 #s(literal 2 binary64) (-.f64 x eps)))
(/.f64 (fma.f64 (PI.f64) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 eps x))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)
(.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
(.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) eps))
(.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) x)) x)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/24 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/24 binary64) x)))
(.f64 x (.f64 #s(literal 1/24 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)))

eval51.0ms (0.3%)

Memory: 19.4MiB live, 62.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 837 to 1 835 computations (85.7% saved)

prune35.0ms (0.2%)

Memory

-11.1MiB live, 34.0MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	375	16	391
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	379	23	402

Accuracy

100.0%

Counts

402 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
✓	56.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
✓	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
▶	55.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	30.1%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)))))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))) eps))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
✓	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
	31.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))) eps))
	57.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))))
▶	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
	26.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 4 binary64)))))
	79.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
▶	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))

Compiler

Compiled 1 782 to 1 046 computations (41.3% saved)

simplify267.0ms (1.8%)

Memory

4.7MiB live, 146.7MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
cost-diff	0	(+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)
cost-diff	0	(sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))
cost-diff	0	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps)
cost-diff	0	#s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
cost-diff	2	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))
cost-diff	0	(neg.f64 eps)
cost-diff	0	(*.f64 (neg.f64 eps) x)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
cost-diff	0	(/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))
cost-diff	0	(.f64 (-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))) eps))
cost-diff	19	(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	676
0	110	672
1	188	672
2	399	669
3	1221	669
4	5176	612
0	8644	609

Stop Event

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

Calls

Call 1

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

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

localize718.0ms (4.7%)

Memory

22.3MiB live, 635.3MiB allocated; 80ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
accuracy	0.01953125	(+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)
accuracy	0.12068723160025455	(sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))
accuracy	27.42462780566507	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
accuracy	0.0	(+.f64 x eps)
accuracy	0.10369173006114649	(cos.f64 (+.f64 x eps))
accuracy	1.7766815873569113	#s(approx (cos x) #s(literal 1 binary64))
accuracy	27.42462780566507	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0.140625	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))
accuracy	0.16796875	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.16796875	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
accuracy	1.8398874018720242	#s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x)))
accuracy	0.0	(*.f64 (neg.f64 eps) x)
accuracy	0.0	(neg.f64 eps)
accuracy	1.8377860192799922	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
accuracy	12.53565879038674	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
accuracy	0.203125	(.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))
accuracy	0.36328125	(*.f64 #s(literal 1/24 binary64) eps)
accuracy	30.67052544319882	(/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))
accuracy	30.99143064432578	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))) eps (sin.f64 x)))

Samples

558.0ms	181×	2	valid
93.0ms	71×	1	valid
12.0ms	3×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 536 to 59 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-sin: 189.0ms (35.9% of total)

adjust: 108.0ms (20.5% of total)

ival-mult: 93.0ms (17.7% of total)

ival-cos: 54.0ms (10.3% of total)

ival-add: 33.0ms (6.3% of total)

ival-sub: 15.0ms (2.9% of total)

ival-div: 12.0ms (2.3% of total)

ival-pow2: 10.0ms (1.9% of total)

const: 7.0ms (1.3% of total)

ival-pi: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series61.0ms (0.4%)

Memory

-5.5MiB live, 45.0MiB allocated; 34ms collecting garbage

Counts

26 → 158

Calls

Call 1

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

Outputs
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (+ (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* x (+ (* eps (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (+ (* x (- (+ 1/6 (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ 1 (* 1/6 (pow eps 2))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(/ (pow x 2) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(* (pow x 2) (+ (* -1 (* x (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 2) (+ (* x (- (* x (- (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 2) (+ (* x (- (* x (- (+ (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (- (+ (* 1/36 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (+ (* 1/2 (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* 1/6 (* eps x))
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(- (/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) (/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))))
(- (cos (+ eps x)) (cos x))
(* eps (- (/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) (/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))))
(/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* eps (sin x)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(sin (+ eps (+ x (* 1/2 (PI)))))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* 1/6 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (* 1/4 (/ (pow (cos x) 2) (sin x)))))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x)))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))))))))) (sin x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (* 1/4 (/ (pow (cos x) 2) (sin x))))))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x)))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))))))))
(* 1/4 (/ (* (pow eps 2) (pow (cos x) 2)) (sin x)))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (* eps (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (* 1/36 (sin x))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x))))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (* eps (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (+ (* 1/36 (sin x)) (* eps (- (* 1/72 (cos x)) (+ (* -1/2 (/ (* (cos x) (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (* 1/36 (sin x))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* 1/96 (/ (pow (cos x) 3) (pow (sin x) 2))) (* 1/6 (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))))))))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x))))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* -1 eps)
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1/2 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (- (* -1 (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(+ (sin x) (* eps (- (* eps (- (* -1 (* eps (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x))))))) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(* 1/24 eps)
(* 1/24 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(* (pow eps 3) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(* (pow eps 4) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(* 24 (/ (pow (sin x) 2) (* (pow eps 3) (cos x))))
(/ (+ (* -96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 24 (/ (pow (sin x) 2) (cos x)))) (pow eps 3))
(/ (- (+ (* -1 (/ (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))) (* 24 (/ (pow (sin x) 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (sin x) (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x))))) (cos x))) (+ (* 576 (/ (pow (sin x) 3) (pow (cos x) 2))) (* 1152 (/ (pow (sin x) 3) (pow (cos x) 2))))) (pow eps 3))) (* 24 (/ (pow (sin x) 2) (cos x)))) (+ (* -384 (/ (pow (sin x) 4) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -288 (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))))) (pow eps 3))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (* -1 (/ (- (* -4 (sin x)) (+ (sin x) (+ (* -12 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (cos x)))))) eps))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* eps (cos x)))) (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x))))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* eps (cos x)))) (* 1/2 (/ (cos x) eps)))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -1 (/ (- (+ (* -4 (/ (sin x) eps)) (* -1 (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (+ (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (* eps (cos x)))) (/ (sin x) eps)))) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (+ (* 288 (/ (pow (sin x) 2) (* eps (cos x)))) (* 384 (/ (pow (sin x) 4) (* eps (pow (cos x) 3))))) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (sin x) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) (* eps (cos x)))) (+ (* 576 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 1152 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))))) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) eps)) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	((- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) (- (cos (+ x eps)) (cos x)) (* (- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) eps) (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (* (- (* 1/24 (* eps eps)) 1/2) eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (sin (+ (+ (/ (PI) 2) x) eps)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (* 1/24 eps) (* 1/6 (* (sin x) eps)) (* 1/24 (* eps eps)) (* (* eps eps) 1/6) (+ (* (PI) 1/2) x))
7.0ms	x	@	0	((- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) (- (cos (+ x eps)) (cos x)) (* (- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) eps) (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (* (- (* 1/24 (* eps eps)) 1/2) eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (sin (+ (+ (/ (PI) 2) x) eps)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (* 1/24 eps) (* 1/6 (* (sin x) eps)) (* 1/24 (* eps eps)) (* (* eps eps) 1/6) (+ (* (PI) 1/2) x))
7.0ms	x	@	inf	((- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) (- (cos (+ x eps)) (cos x)) (* (- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) eps) (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (* (- (* 1/24 (* eps eps)) 1/2) eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (sin (+ (+ (/ (PI) 2) x) eps)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (* 1/24 eps) (* 1/6 (* (sin x) eps)) (* 1/24 (* eps eps)) (* (* eps eps) 1/6) (+ (* (PI) 1/2) x))
6.0ms	eps	@	inf	((- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) (- (cos (+ x eps)) (cos x)) (* (- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) eps) (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (* (- (* 1/24 (* eps eps)) 1/2) eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (sin (+ (+ (/ (PI) 2) x) eps)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (* 1/24 eps) (* 1/6 (* (sin x) eps)) (* 1/24 (* eps eps)) (* (* eps eps) 1/6) (+ (* (PI) 1/2) x))
6.0ms	eps	@	0	((- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) (- (cos (+ x eps)) (cos x)) (* (- (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x)))) eps) (/ (pow (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (* (- (* 1/24 (* eps eps)) 1/2) eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (sin (+ (+ (/ (PI) 2) x) eps)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (/ (pow (sin x) 2) (+ (* (+ (* (+ (* (* 1/24 eps) eps) -1/2) (cos x)) (* 1/6 (* (sin x) eps))) eps) (sin x))) (* 1/24 eps) (* 1/6 (* (sin x) eps)) (* 1/24 (* eps eps)) (* (* eps eps) 1/6) (+ (* (PI) 1/2) x))

simplify186.0ms (1.2%)

Memory

4.0MiB live, 142.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	803	5253
1	2835	5084
0	8153	4716

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 156

Calls

Call 1

Inputs
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (+ (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* x (+ (* eps (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ 1 (* 1/6 (pow eps 2))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (+ (* x (- (+ 1/6 (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ 1 (* 1/6 (pow eps 2))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(/ (pow x 2) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(* (pow x 2) (+ (* -1 (* x (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 2) (+ (* x (- (* x (- (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 2) (+ (* x (- (* x (- (+ (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* x (- (+ (* 1/36 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (+ (* 1/2 (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/2 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow eps 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/3 (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))))) (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* 1/6 (* eps x))
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(- (/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) (/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))))
(- (cos (+ eps x)) (cos x))
(* eps (- (/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))))) (/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))))
(/ (* (pow eps 2) (pow (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) 2)) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* eps (sin x)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(sin (+ eps (+ x (* 1/2 (PI)))))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(/ (pow (sin x) 2) (+ (sin x) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* 1/6 (* eps (sin x)))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (* 1/4 (/ (pow (cos x) 2) (sin x)))))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x)))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))))))))) (sin x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (* 1/4 (/ (pow (cos x) 2) (sin x))))))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (+ (* 1/6 (sin x)) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x)))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))))))))
(* 1/4 (/ (* (pow eps 2) (pow (cos x) 2)) (sin x)))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (* eps (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (* 1/36 (sin x))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x))))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* (pow eps 2) (+ (* 1/4 (/ (pow (cos x) 2) (sin x))) (* eps (- (+ (* -1/6 (cos x)) (* eps (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (+ (* 1/36 (sin x)) (* eps (- (* 1/72 (cos x)) (+ (* -1/2 (/ (* (cos x) (- (+ (* -1/24 (/ (pow (cos x) 2) (sin x))) (* 1/36 (sin x))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x)))))) (sin x))) (+ (* 1/96 (/ (pow (cos x) 3) (pow (sin x) 2))) (* 1/6 (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))))))))) (+ (* -1/2 (/ (* (cos x) (- (* -1/6 (cos x)) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2))))) (sin x))) (* 1/24 (/ (pow (cos x) 2) (sin x))))))) (* -1/8 (/ (pow (cos x) 3) (pow (sin x) 2)))))))
(* -1 eps)
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1/2 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (- (* -1 (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(+ (sin x) (* eps (- (* eps (- (* -1 (* eps (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x))))))) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(* 1/24 eps)
(* 1/24 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(* (pow eps 3) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(* (pow eps 4) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(* 24 (/ (pow (sin x) 2) (* (pow eps 3) (cos x))))
(/ (+ (* -96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 24 (/ (pow (sin x) 2) (cos x)))) (pow eps 3))
(/ (- (+ (* -1 (/ (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))) (* 24 (/ (pow (sin x) 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (sin x) (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x))))) (cos x))) (+ (* 576 (/ (pow (sin x) 3) (pow (cos x) 2))) (* 1152 (/ (pow (sin x) 3) (pow (cos x) 2))))) (pow eps 3))) (* 24 (/ (pow (sin x) 2) (cos x)))) (+ (* -384 (/ (pow (sin x) 4) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -288 (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))))) (pow eps 3))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (* -1 (/ (- (* -4 (sin x)) (+ (sin x) (+ (* -12 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (cos x)))))) eps))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 4) (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* eps (cos x)))) (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x))))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* eps (cos x)))) (* 1/2 (/ (cos x) eps)))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -1 (/ (- (+ (* -4 (/ (sin x) eps)) (* -1 (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (+ (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (* eps (cos x)))) (/ (sin x) eps)))) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (+ (* 288 (/ (pow (sin x) 2) (* eps (cos x)))) (* 384 (/ (pow (sin x) 4) (* eps (pow (cos x) 3))))) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (sin x) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) (* eps (cos x)))) (+ (* 576 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 1152 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))))) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) eps)) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))

Outputs
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.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))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) (neg.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))) x (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.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))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/3 (pow eps 2)) (* x (- (+ (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (+ 1 (* 1/6 (pow eps 2))))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -2/9 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) (neg.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64))) (fma.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)) eps)))) eps) (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64))))) x (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) (neg.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))))) x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) (fma.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))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(-.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))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(-.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))
(+ (* eps (* x (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 x eps) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.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)))
(+ (* x (+ (* eps (* x (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 eps (fma.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) (neg.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))) x (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) (fma.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)) (.f64 eps eps)))
(+ (* x (+ (* eps (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* x (+ (* eps (* x (- (+ 1/6 (+ (* 1/6 (/ 1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (+ (/ 1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2))) (/ (* eps (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/18 (* eps (- (* 1/24 (pow eps 2)) 1/2))))) (- (* 1/24 (pow eps 2)) 1/2))))) (+ (* -1/2 (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (+ (* -1/36 (pow eps 2)) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))) (* eps (- (/ (* eps (+ (* -1 (pow (- (* 1/24 (pow eps 2)) 1/2) 2)) (* 1/36 (pow eps 2)))) (- (* 1/24 (pow eps 2)) 1/2)) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ 1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* (+ 1 (* 1/6 (pow eps 2))) (- (* 1/3 (pow eps 2)) (+ 1 (* 1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
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(* 1/4 (/ (* (pow eps 2) (pow (cos x) 2)) (sin x)))
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(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
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(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (cos.f64 x))
(sin (+ x (* 1/2 (PI))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(+ (sin x) (* eps (- (* -1 (* eps (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal -1/4 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps (sin.f64 x))
(+ (sin x) (* eps (- (* eps (- (* -1 (* eps (+ (* 1/24 (cos x)) (+ (* 1/12 (cos x)) (* 1/2 (/ (* (cos x) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x)))) (sin x))))))) (+ (* -1/4 (/ (pow (cos x) 2) (sin x))) (* 1/6 (sin x))))) (* -1/2 (cos x)))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #s(literal -1/4 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (cos.f64 x)) (sin.f64 x)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.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))
(* 1/24 eps)
(*.f64 #s(literal 1/24 binary64) eps)
(* 1/24 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/24 (* (pow eps 3) (cos x)))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)) (cos.f64 x))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (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 3 binary64)))
(* (pow eps 3) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 (.f64 eps eps) (cos.f64 x))) #s(literal 24 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/3 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 eps eps)) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps))))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 (.f64 eps eps) (cos.f64 x))) #s(literal 24 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/3 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -12 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) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (cos.f64 x)) #s(literal 24 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))))))) (pow.f64 eps #s(literal 3 binary64)))
(* 1/24 (* (pow eps 4) (cos x)))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (cos.f64 x))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (* 1/3 (/ (sin x) eps))) (* 1/6 (/ (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)))
(* (pow eps 4) (- (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x)))))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x))))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 (.f64 eps eps) (cos.f64 x))) #s(literal 24 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/3 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 eps eps)) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps))))))
(* (pow eps 4) (- (+ (* -4 (/ (sin x) (pow eps 3))) (+ (* 1/24 (cos x)) (+ (* 1/3 (/ (sin x) eps)) (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* (pow eps 2) (cos x))))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/6 (/ (sin x) eps)) (+ (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* (pow eps 2) (cos x)))) (+ (* 4 (/ (* (sin x) (- (* 24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -1/2 (cos x)) (* 4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x)))))) (* (pow eps 3) (cos x)))) (/ (sin x) (pow eps 3)))))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (.f64 (.f64 eps eps) (cos.f64 x))) #s(literal 24 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/3 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -12 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) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (cos.f64 x)) #s(literal 24 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal 4 binary64))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x))))) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64)))))))))
(* 1/24 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(.f64 (-.f64 (fma.f64 (/.f64 x (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (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)))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (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)))
(* (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))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) eps) (+.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/24 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64)))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps) eps eps)
(* 24 (/ (pow (sin x) 2) (* (pow eps 3) (cos x))))
(/.f64 (.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))
(/ (+ (* -96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 24 (/ (pow (sin x) 2) (cos x)))) (pow eps 3))
(/.f64 (fma.f64 (/.f64 #s(literal -96 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (/.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x)))) (pow eps 2))) (* 24 (/ (pow (sin x) 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -288 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (.f64 #s(literal -384 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 eps eps)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -96 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (/.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x)))) (pow.f64 eps #s(literal 3 binary64)))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (sin x) (+ (* -384 (/ (pow (sin x) 4) (pow (cos x) 3))) (* -288 (/ (pow (sin x) 2) (cos x))))) (cos x))) (+ (* 576 (/ (pow (sin x) 3) (pow (cos x) 2))) (* 1152 (/ (pow (sin x) 3) (pow (cos x) 2))))) (pow eps 3))) (* 24 (/ (pow (sin x) 2) (cos x)))) (+ (* -384 (/ (pow (sin x) 4) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -288 (/ (pow (sin x) 2) (* (pow eps 2) (cos x)))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))))) (pow eps 3))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 24 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -288 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (.f64 #s(literal -384 binary64) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1728 binary64))) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -384 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 96 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (.f64 (/.f64 #s(literal -288 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(.f64 (neg.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 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal -24 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (cos.f64 x)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (neg.f64 eps)) #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (* -1 (/ (- (* -4 (sin x)) (+ (sin x) (+ (* -12 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (cos x)))))) eps))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))) eps)) (* 1/3 (sin x))) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (sin.f64 x)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -24 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (cos.f64 x)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (cos.f64 x))) #s(literal -4 binary64) (fma.f64 #s(literal -12 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)))) (neg.f64 eps)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))) (neg.f64 eps)) #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps)))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(* (pow eps 4) (+ (* -1 (/ (- (+ (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (* eps (cos x)))) (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x))))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* eps (cos x)))) (* 1/2 (/ (cos x) eps)))) eps)) (* 1/24 (cos x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal -24 binary64) (cos.f64 x)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64))) eps) (-.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 x)) (fma.f64 (/.f64 #s(literal -4 binary64) eps) (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (* -1 (/ (- (+ (* -4 (/ (sin x) eps)) (* -1 (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x)))))) (+ (* -12 (/ (- (* 1/3 (sin x)) (* 1/6 (sin x))) eps)) (+ (* -4 (/ (* (sin x) (- (* -24 (/ (+ (* -1/24 (pow (cos x) 2)) (* 1/36 (pow (sin x) 2))) (cos x))) (+ (* -4 (/ (* (sin x) (- (* 1/3 (sin x)) (* 1/6 (sin x)))) (cos x))) (* 1/2 (cos x))))) (* eps (cos x)))) (/ (sin x) eps)))) eps))) eps)) (* 1/24 (cos x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (-.f64 (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (sin.f64 x) eps)) (-.f64 (/.f64 (.f64 #s(literal -24 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (cos.f64 x)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))) (fma.f64 #s(literal -12 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) eps) (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -24 binary64) (fma.f64 #s(literal -1/24 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (cos.f64 x)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) #s(literal -4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (cos.f64 x))) (/.f64 (sin.f64 x) eps)))) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps))) (cos.f64 x))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* 96 (/ (pow (sin x) 3) (* eps (pow (cos x) 2))))) (pow eps 3)))
(/.f64 (fma.f64 (/.f64 #s(literal 96 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (/.f64 (*.f64 #s(literal -24 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (+ (* 288 (/ (pow (sin x) 2) (* eps (cos x)))) (* 384 (/ (pow (sin x) 4) (* eps (pow (cos x) 3))))) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))
(/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 384 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) eps) (fma.f64 (/.f64 #s(literal 288 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal -96 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (neg.f64 eps))) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))
(* -1 (/ (+ (* -24 (/ (pow (sin x) 2) (cos x))) (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (* (sin x) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) (* eps (cos x)))) (+ (* 576 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))) (* 1152 (/ (pow (sin x) 3) (* eps (pow (cos x) 2)))))) (+ (* 288 (/ (pow (sin x) 2) (cos x))) (* 384 (/ (pow (sin x) 4) (pow (cos x) 3))))) eps)) (* 96 (/ (pow (sin x) 3) (pow (cos x) 2)))) eps))) (pow eps 3)))
(/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 384 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 288 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (sin.f64 x)) (.f64 (cos.f64 x) eps)) #s(literal 4 binary64) (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1728 binary64)) (fma.f64 #s(literal 384 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 288 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (cos.f64 x))))) eps) #s(literal -1 binary64) (.f64 #s(literal -96 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 eps))) (neg.f64 (pow.f64 eps #s(literal 3 binary64))))

rewrite195.0ms (1.3%)

Memory

24.4MiB live, 125.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	528
0	110	392
1	462	392
2	3098	392
0	8188	392

Stop Event

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

Counts

26 → 237

Calls

Call 1

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

Outputs
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) x)
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) x)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) x)
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (PI.f64)) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))

eval88.0ms (0.6%)

Memory: -23.1MiB live, 66.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 26 663 to 2 251 computations (91.6% saved)

prune50.0ms (0.3%)

Memory

-12.7MiB live, 46.0MiB allocated; 10ms collecting garbage

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	402	10	412
Fresh	3	11	14
Picked	2	3	5
Done	0	4	4
Total	407	28	435

Accuracy

100.0%

Counts

435 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
✓	56.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
✓	55.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	30.1%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps (sin.f64 x)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps))) eps) #s(literal 2 binary64)))))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
✓	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
▶	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
	31.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64)))) eps))
▶	57.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) 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)))))
	97.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
	26.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))) eps) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 4 binary64)))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
▶	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	79.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	79.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	79.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
✓	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))

Compiler

Compiled 2 299 to 1 389 computations (39.6% saved)

simplify215.0ms (1.4%)

Memory

17.0MiB live, 208.5MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
cost-diff	2	(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
cost-diff	4	(fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
cost-diff	0	(.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
cost-diff	2	(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	4	(fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))
cost-diff	0	(.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps)
cost-diff	0	#s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))
cost-diff	0	#s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	0	(sin.f64 x)
cost-diff	0	(fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
cost-diff	0	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	966
0	111	966
1	218	966
2	553	949
3	1702	922
4	3831	922
5	5369	922
0	8401	881

Stop Event

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

Calls

Call 1

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

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

localize440.0ms (2.9%)

Memory

-3.6MiB live, 320.9MiB allocated; 61ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps)
accuracy	0.16796875	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.16796875	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
accuracy	1.3783443976406073	#s(approx (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps)))
accuracy	0.1484375	(.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps)
accuracy	0.16796875	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.16796875	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
accuracy	1.8427749599138477	#s(approx (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps)))
accuracy	0.15234375	(.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps)
accuracy	0.359375	(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
accuracy	0.359375	(*.f64 #s(literal 1/24 binary64) eps)
accuracy	1.8398874018720242	#s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps)))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.0078125	(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0.39731999641245447	#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	27.268771595833282	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
accuracy	0.0	(cos.f64 x)
accuracy	0.015625	(fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
accuracy	0.1484375	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
accuracy	0.20331636217866347	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))

Samples

293.0ms	183×	2	valid
79.0ms	69×	1	valid
8.0ms	2×	5	exit
4.0ms	1×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 560 to 59 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 96.0ms (29.5% of total)

adjust: 91.0ms (28% of total)

ival-cos: 78.0ms (24% of total)

ival-add: 23.0ms (7.1% of total)

ival-sub: 17.0ms (5.2% of total)

const: 10.0ms (3.1% of total)

ival-sin: 10.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

27 → 150

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)
(+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))))
(* 1/6 (pow eps 2))
(+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/24 eps)
(+ (* 1/24 eps) (* 1/6 x))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/36 (* (pow eps 2) x)))))))
(- (cos (+ eps x)) (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(sin x)
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 2) (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/6 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (/ 1 x)))
(* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/6 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))))
(cos x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 (/ eps x))))
(- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))
(* -1 (* x (+ (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* 1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/6 (pow eps 2))) x)) (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1/6 (/ (pow eps 2) x)) (* 1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (- (* -1/24 (/ eps x)) 1/6)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(pow eps 2)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
(* -1 x)
(+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))
(+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
(+ (* -1 x) (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2)))
-1
(- (* 1/4 (* eps x)) 1)
(- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)
(- (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x)))))) 1)
(* eps (- (* 1/4 (pow x 2)) 1/2))
(* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2))
(* 1/4 (* eps x))
(* eps (+ (* 1/6 eps) (* 1/4 x)))
(* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x))))))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* 1/24 (pow eps 2))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))
(* -1/48 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))
(* (pow eps 3) (- (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))) (/ 1 (pow eps 3))))
(* eps (+ 1/24 (* 1/6 (/ x eps))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1/6 (/ x eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/48 x) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* 1/4 (/ x eps))) eps)) (* 1/48 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))) eps)) (* 1/48 x))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/24)))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))

Calls

6 calls:

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

simplify177.0ms (1.2%)

Memory

-8.4MiB live, 86.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	2604
1	1845	2561
2	7078	2545
0	8282	2376

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 149

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)
(+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))))
(* 1/6 (pow eps 2))
(+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/24 eps)
(+ (* 1/24 eps) (* 1/6 x))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/36 (* (pow eps 2) x)))))))
(- (cos (+ eps x)) (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(sin x)
(* eps (- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 2) (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/6 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (/ 1 x)))
(* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) (/ 1 x)))
(* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/6 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))))
(cos x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 (/ eps x))))
(- (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))) (sin x))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))
(* -1 (* x (+ (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* 1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/6 (pow eps 2))) x)) (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1/6 (/ (pow eps 2) x)) (* 1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (- (* -1/24 (/ eps x)) 1/6)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(pow eps 2)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
(* -1 x)
(+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))
(+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
(+ (* -1 x) (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2)))
-1
(- (* 1/4 (* eps x)) 1)
(- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)
(- (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x)))))) 1)
(* eps (- (* 1/4 (pow x 2)) 1/2))
(* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2))
(* 1/4 (* eps x))
(* eps (+ (* 1/6 eps) (* 1/4 x)))
(* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x))))))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))
(* 1/24 (pow eps 2))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))
(* -1/48 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))
(* (pow eps 3) (- (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))) (/ 1 (pow eps 3))))
(* eps (+ 1/24 (* 1/6 (/ x eps))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (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))))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1/6 (/ x eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/48 x) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* 1/4 (/ x eps))) eps)) (* 1/48 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))) eps)) (* 1/48 x))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/24)))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))

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

rewrite171.0ms (1.1%)

Memory

20.9MiB live, 110.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	747
0	111	747
1	452	747
2	3622	747
0	8509	728

Stop Event

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

Counts

27 → 293

Calls

Call 1

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

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

eval106.0ms (0.7%)

Memory: -20.6MiB live, 124.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 39 080 to 3 704 computations (90.5% saved)

prune67.0ms (0.4%)

Memory

-1.4MiB live, 46.2MiB allocated; 1ms collecting garbage

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	622	14	636
Fresh	5	11	16
Picked	3	2	5
Done	0	7	7
Total	630	34	664

Accuracy

100.0%

Counts

664 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
✓	56.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	55.9%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
✓	55.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps)))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) eps)) eps))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (* (* eps eps) 1/6)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps))) (sin.f64 x)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (* (* eps eps) 1/6)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
✓	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.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))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))
	55.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
✓	57.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	97.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	79.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	79.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	79.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
✓	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))

Compiler

Compiled 3 966 to 1 340 computations (66.2% saved)

regimes80.0ms (0.5%)

Memory

-7.6MiB live, 45.1MiB allocated; 33ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

56.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes33.0ms (0.2%)

Memory

-16.2MiB live, 31.5MiB allocated; 4ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.2%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	eps
10.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

-25.7MiB live, 21.4MiB allocated; 1ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	eps
8.0ms	x
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

-28.8MiB live, 18.0MiB allocated; 1ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (* (* eps eps) 1/6)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #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))))

Outputs

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

Calls

3 calls:

8.0ms	x
7.0ms	eps
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.1%	1	`eps`
98.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.1%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) 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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (-.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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.9%	1	`eps`
97.9%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

-41.0MiB live, 11.3MiB allocated; 3ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))

Outputs

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

Calls

3 calls:

7.0ms	x
5.0ms	eps
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 #s(approx (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (*.f64 x x)))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`eps`
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) x) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) eps) (* (* (- (* (* eps eps) 1/6) 1) eps) x)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* 1/24 (* eps eps)) 1/2) eps) (.f64 #s(literal -1/2 binary64) eps)) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) #s(approx (+ (* (+ (* (* (* (- (* 1/24 (* eps eps)) 1/2) eps) x) -1/2) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

-40.6MiB live, 6.7MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

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

Accuracy

Total -14.1b remaining (-105.4%)

Threshold costs -14.1b (-105.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
79.1%	1	`x`
79.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify59.0ms (0.4%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	847
1	279	847
2	610	839
3	1720	829
4	4454	829
5	6732	829

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.1s (7.5%)

Memory

-5.2MiB live, 416.2MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	296
1	308	293
2	779	293
3	2454	292
4	6244	292
0	8035	272
0	803	5253
1	2835	5084
0	8153	4716
0	74	747
0	111	747
1	452	747
2	3622	747
0	8509	728
0	405	1907
1	1406	1889
2	5129	1877
0	8233	1701
0	523	2604
1	1845	2561
2	7078	2545
0	8282	2376
0	69	528
0	110	392
1	462	392
2	3098	392
0	8188	392

Stop Event

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

Compiler

Compiled 847 to 174 computations (79.5% saved)

preprocess140.0ms (0.9%)

Memory: -33.4MiB live, 71.7MiB allocated; 79ms collecting garbage
Compiler: Compiled 1 742 to 390 computations (77.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze42.0ms (0.3%)

sample8.8s (57.9%)

explain239.0ms (1.6%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize89.0ms (0.6%)

series4.0ms (0%)

simplify147.0ms (1%)

rewrite157.0ms (1%)

eval34.0ms (0.2%)

prune9.0ms (0.1%)

simplify113.0ms (0.7%)

localize525.0ms (3.5%)

series28.0ms (0.2%)

simplify178.0ms (1.2%)

rewrite225.0ms (1.5%)

eval51.0ms (0.3%)

prune35.0ms (0.2%)

simplify267.0ms (1.8%)

localize718.0ms (4.7%)

series61.0ms (0.4%)

simplify186.0ms (1.2%)

rewrite195.0ms (1.3%)

eval88.0ms (0.6%)

prune50.0ms (0.3%)

simplify215.0ms (1.4%)

localize440.0ms (2.9%)

series32.0ms (0.2%)

simplify177.0ms (1.2%)

rewrite171.0ms (1.1%)

eval106.0ms (0.7%)

prune67.0ms (0.4%)

regimes80.0ms (0.5%)

regimes33.0ms (0.2%)

regimes29.0ms (0.2%)

regimes28.0ms (0.2%)

regimes28.0ms (0.2%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify59.0ms (0.4%)

derivations1.1s (7.5%)

preprocess140.0ms (0.9%)

end0.0ms (0%)

Profiling