Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze521.0ms (3.6%)

Memory

-214.2MiB live, 119.1MiB allocated

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)

sample8.4s (57.8%)

Memory

170.5MiB live, 8 466.7MiB allocated

Samples

3.0s	5 694×	2	valid
3.0s	26 171×	0	invalid
500.0ms	2 422×	1	valid
17.0ms	140×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.2s

ival-cos: 2.5s (47.3% of total)

const: 620.0ms (11.9% of total)

adjust: 497.0ms (9.5% of total)

ival-add: 329.0ms (6.3% of total)

ival-fabs: 274.0ms (5.2% of total)

ival-mult: 253.0ms (4.8% of total)

ival-sub: 223.0ms (4.3% of total)

ival-<=: 214.0ms (4.1% of total)

ival-<: 182.0ms (3.5% of total)

ival-and: 101.0ms (1.9% of total)

exact: 43.0ms (0.8% of total)

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

Bogosity

explain325.0ms (2.2%)

Memory

-20.1MiB live, 365.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
135	-	1	(-0.24427790716573766 0.06740065733322918)	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(cos.f64 (+.f64 x eps))`
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	134	1

Confusion

	Predicted +	Predicted -
+	134	1
-	0	121

Precision

1.0

Recall

0.9925925925925926

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	1	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

219.0ms	362×	2	valid
18.0ms	146×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-cos: 129.0ms (80.1% of total)

adjust: 22.0ms (13.7% of total)

ival-sub: 6.0ms (3.7% of total)

ival-add: 3.0ms (1.9% of total)

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

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

preprocess35.0ms (0.2%)

Memory

-11.1MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

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)

localize101.0ms (0.7%)

Memory

-16.4MiB live, 126.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 (+.f64 x eps))
accuracy	0.0	(cos.f64 x)
accuracy	30.091722074921254	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

85.0ms	181×	2	valid
9.0ms	73×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-cos: 67.0ms (82.1% of total)

adjust: 9.0ms (11% of total)

ival-sub: 3.0ms (3.7% of total)

ival-add: 2.0ms (2.5% of total)

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

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

series4.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

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))

simplify139.0ms (1%)

Memory

11.5MiB live, 158.3MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite237.0ms (1.6%)

Memory

-23.9MiB live, 165.7MiB allocated

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)))

eval35.0ms (0.2%)

Memory: 10.1MiB live, 55.8MiB allocated
Compiler: Compiled 4 780 to 715 computations (85% saved)

prune8.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

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
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	52.8%	(-.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))))
	52.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	52.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	81.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.4%	#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)))
	99.5%	#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))
▶	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 351 to 262 computations (25.4% saved)

simplify144.0ms (1%)

Memory

-24.8MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
cost-diff	4	(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	42	286
0	71	278
1	121	278
2	261	278
3	636	278
4	1417	278
5	2826	278
6	5156	278
0	8098	278

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 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)

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 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)

localize546.0ms (3.8%)

Memory

38.0MiB live, 505.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (+.f64 x eps))
accuracy	0.0	(PI.f64)
accuracy	0.0234375	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
accuracy	30.091722074921254	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
accuracy	0.0	(cos.f64 (+.f64 x eps))
accuracy	0.12848103160136612	#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	0.15234375	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	30.091722074921254	(-.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	0.0078125	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	12.89482941043805	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.0	(cos.f64 eps)
accuracy	29.235525394562664	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	29.75938674250531	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0.11923114245834698	#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	0.12109375	(.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	0.20703125	(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
accuracy	0.26953125	(*.f64 #s(literal 1/24 binary64) eps)

Samples

394.0ms	182×	2	valid
47.0ms	69×	1	valid
9.0ms	3×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 238 to 39 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-sin: 186.0ms (46.7% of total)

ival-cos: 98.0ms (24.6% of total)

adjust: 45.0ms (11.3% of total)

ival-mult: 27.0ms (6.8% of total)

ival-sub: 17.0ms (4.3% of total)

ival-add: 11.0ms (2.8% of total)

const: 7.0ms (1.8% of total)

ival-div: 5.0ms (1.3% of total)

ival-pi: 3.0ms (0.8% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series50.0ms (0.3%)

Memory

-21.4MiB live, 78.5MiB allocated

Counts

22 → 113

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

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 (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))
(- (cos eps) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 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))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(- (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 (+ x (* 1/2 (PI))))
(- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))
(* 1/6 (* eps (sin x)))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- (* 1/2 (PI)) (* -1 x)))
(- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))
(* -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))))
(- (cos x) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))
(* 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)))
(- (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)))
(- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	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)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)) (+ (/ (PI) 2) x) (PI))
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)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)) (+ (/ (PI) 2) x) (PI))
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)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)) (+ (/ (PI) 2) x) (PI))
3.0ms	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)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)) (+ (/ (PI) 2) x) (PI))
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)) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* 1/24 (* x x)) (+ (/ (PI) 2) x) (PI))

simplify197.0ms (1.4%)

Memory

-2.7MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	1708
1	1288	1688
2	4645	1677
0	8537	1556

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 111

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 (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))
(+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))
(- (cos eps) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))
(- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 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))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
(- (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 (+ x (* 1/2 (PI))))
(- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))
(* 1/6 (* eps (sin x)))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- (* 1/2 (PI)) (* -1 x)))
(- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))
(* -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))))
(- (cos x) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))
(* 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)))
(- (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)))
(- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))

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

rewrite217.0ms (1.5%)

Memory

5.4MiB live, 227.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	208
0	71	200
1	287	200
2	2219	200
0	9461	200

Stop Event

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

Counts

22 → 249

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

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 (.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))))
(/.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)))) (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 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)))) (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 (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 (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 (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))) (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 (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))) (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 (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 (/.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)) (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 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (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 (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 (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 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))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) #s(literal 2 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))))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 3 binary64))) eps) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x))) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) #s(literal 2 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))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps)) (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x))) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps #s(literal -1/2 binary64)) (cos.f64 x)) eps (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps)) eps))
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(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (.f64 (sin.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))))) (cos.f64 (/.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 (cos.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))))) (sin.f64 (/.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 #s(literal 0 binary64) (sin.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(-.f64 (-.f64 (cos.f64 (+.f64 eps x)) (.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 #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)))
(/.f64 (fma.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 (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))) (pow.f64 x #s(literal 3 binary64)))) (.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))) (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 (-.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 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(exp.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval64.0ms (0.4%)

Memory: 40.9MiB live, 83.3MiB allocated
Compiler: Compiled 12 150 to 1 769 computations (85.4% saved)

prune40.0ms (0.3%)

Memory

-19.9MiB live, 37.3MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	407	16	423
Fresh	3	2	5
Picked	4	1	5
Done	0	1	1
Total	414	20	434

Accuracy

100.0%

Counts

434 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	52.8%	(-.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))))
	81.6%	(.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))
▶	99.5%	#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)) (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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 #s(literal 1/6 binary64) x) eps))) eps) (sin.f64 x)) eps))
	99.5%	#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 (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))) (sin.f64 x)) eps))
	99.5%	#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))
▶	99.3%	#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 (.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))
✓	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	99.4%	#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))
▶	98.8%	#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)) (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))
	98.8%	#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)) (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))
	98.7%	#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))))
	22.3%	#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)))))
	79.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps))))
	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
▶	79.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 568 to 974 computations (37.9% saved)

simplify166.0ms (1.1%)

Memory

19.7MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))
cost-diff	0	(-.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))
cost-diff	0	(.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)
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 (.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))
cost-diff	4	(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))
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	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) eps)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) 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)) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) (sin.f64 x)) eps))
cost-diff	2	(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (*.f64 #s(literal 1/6 binary64) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	850
0	112	850
1	218	850
2	580	832
3	1932	820
4	4321	810
5	7148	810
0	8381	781

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

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

localize424.0ms (2.9%)

Memory

-37.5MiB live, 447.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
accuracy	0.0234375	(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	0.1171875	(.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	0.1791683118804876	#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))
accuracy	0.11923114245834698	#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))
accuracy	0.12109375	(.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)
accuracy	0.20703125	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
accuracy	0.7132240953081733	#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)))
accuracy	0.12109375	(.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	0.20703125	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
accuracy	0.2109375	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.6757390090405693	#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	0.0	(*.f64 (neg.f64 x) eps)
accuracy	0.0	(neg.f64 x)
accuracy	0.6672982103155396	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
accuracy	12.89482941043805	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
accuracy	0.12109375	(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) (sin.f64 x)) eps)
accuracy	0.26157794535197343	#s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (.f64 #s(literal 1/6 binary64) eps)) x))
accuracy	0.26953125	(*.f64 #s(literal 1/6 binary64) eps)
accuracy	0.26953125	(*.f64 #s(literal 1/24 binary64) eps)

Samples

229.0ms	174×	2	valid
115.0ms	77×	1	valid
5.0ms	3×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 530 to 56 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-mult: 76.0ms (31.2% of total)

ival-cos: 61.0ms (25% of total)

adjust: 44.0ms (18% of total)

const: 29.0ms (11.9% of total)

ival-add: 18.0ms (7.4% of total)

ival-sub: 10.0ms (4.1% of total)

ival-sin: 3.0ms (1.2% of total)

ival-neg: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series37.0ms (0.3%)

Memory

-6.7MiB live, 39.3MiB allocated

Counts

28 → 137

Calls

Call 1

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

Outputs
(* 1/6 eps)
(+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps))
(- (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 (* 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)))))))))
(* -1 x)
(- (* 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)))
(* -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))))
(* 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)))))))
(+ (* 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)))))))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1/36 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/36 eps) (* 1/6 (/ eps (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))
(* -1 (* eps (sin 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)))
(* 1/6 (* (pow eps 2) x))
(* x (+ (* 1/6 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) 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)
(* 1/6 (* eps (sin x)))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(* (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))))))
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/6 (pow eps 2)))))
(* eps (+ 1/6 (* -1/36 (pow x 2))))
(* 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 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 (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* 1/24 eps)
(* 1/6 (pow eps 2))
(* 1/24 (pow eps 2))
(* 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))))))
(* 1/24 (* (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))))))
(* (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))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 3) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* 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 (* eps (- (* 1/36 (pow x 2)) 1/6)))
(- (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)))))
(* -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 (* (pow eps 3) (- (* -1/6 (/ x eps)) 1/24)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/6 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))
(* -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))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	-inf	((+ (* (* (* x x) eps) -1/36) (* 1/6 eps)) (- (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)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (+ (* (* (* (- (* 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) (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (- (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)) (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) (* 1/24 eps) (* 1/6 eps) (* (* (sin x) eps) 1/6) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (* eps eps) 1/6) (* 1/24 (* eps eps)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (* (* (cos x) -1/2) eps))
5.0ms	eps	@	inf	((+ (* (* (* x x) eps) -1/36) (* 1/6 eps)) (- (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)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (+ (* (* (* (- (* 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) (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (- (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)) (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) (* 1/24 eps) (* 1/6 eps) (* (* (sin x) eps) 1/6) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (* eps eps) 1/6) (* 1/24 (* eps eps)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (* (* (cos x) -1/2) eps))
5.0ms	eps	@	0	((+ (* (* (* x x) eps) -1/36) (* 1/6 eps)) (- (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)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (+ (* (* (* (- (* 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) (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (- (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)) (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) (* 1/24 eps) (* 1/6 eps) (* (* (sin x) eps) 1/6) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (* eps eps) 1/6) (* 1/24 (* eps eps)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (* (* (cos x) -1/2) eps))
5.0ms	x	@	inf	((+ (* (* (* x x) eps) -1/36) (* 1/6 eps)) (- (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)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (+ (* (* (* (- (* 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) (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (- (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)) (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) (* 1/24 eps) (* 1/6 eps) (* (* (sin x) eps) 1/6) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (* eps eps) 1/6) (* 1/24 (* eps eps)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (* (* (cos x) -1/2) eps))
4.0ms	x	@	-inf	((+ (* (* (* x x) eps) -1/36) (* 1/6 eps)) (- (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)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (+ (* (+ (* (* (* (- (* 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) (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (- (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)) (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) (* 1/24 eps) (* 1/6 eps) (* (* (sin x) eps) 1/6) (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (* (* eps eps) 1/6) (* 1/24 (* eps eps)) (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (* (* (cos x) -1/2) eps))

simplify157.0ms (1.1%)

Memory

13.2MiB live, 110.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	509	2374
1	1813	2336
2	7137	2324
0	8211	2165

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 136

Calls

Call 1

Inputs
(* 1/6 eps)
(+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps))
(- (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 (* 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)))))))))
(* -1 x)
(- (* 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)))
(* -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))))
(* 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)))))))
(+ (* 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)))))))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1/36 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/36 eps) (* 1/6 (/ eps (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))
(* -1 (* eps (sin 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)))
(* 1/6 (* (pow eps 2) x))
(* x (+ (* 1/6 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) 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)
(* 1/6 (* eps (sin x)))
(* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(* (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))))))
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/6 (pow eps 2)))))
(* eps (+ 1/6 (* -1/36 (pow x 2))))
(* 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 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 (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* 1/24 eps)
(* 1/6 (pow eps 2))
(* 1/24 (pow eps 2))
(* 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))))))
(* 1/24 (* (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))))))
(* (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))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 3) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* 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 (* eps (- (* 1/36 (pow x 2)) 1/6)))
(- (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)))))
(* -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 (* (pow eps 3) (- (* -1/6 (/ x eps)) 1/24)))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/6 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))
(* -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))))

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

rewrite176.0ms (1.2%)

Memory

23.9MiB live, 68.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	654
0	112	654
1	422	654
2	3203	654
0	8434	647

Stop Event

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

Counts

28 → 276

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) eps) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (*.f64 #s(literal -1/6 binary64) eps)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 eps eps)) (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) (.f64 #s(literal -1/6 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 eps eps)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (.f64 #s(literal -1/6 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/46656 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (.f64 #s(literal -1/6 binary64) eps)))
(/.f64 (fma.f64 #s(literal -1/46656 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 eps eps) (-.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 1/6 binary64)) eps))))
(/.f64 (fma.f64 #s(literal -1/46656 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (*.f64 x x)))))))
(fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 (.f64 #s(literal -1/36 binary64) x) (.f64 eps x) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 (.f64 #s(literal -1/36 binary64) eps) (.f64 x x) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/36 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 #s(literal 1/6 binary64) eps (.f64 #s(literal -1/36 binary64) (.f64 eps (*.f64 x x))))
(fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 (.f64 eps (.f64 x x)) #s(literal -1/36 binary64) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 eps (.f64 (.f64 x x) #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 eps #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (.f64 eps (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/36 binary64) eps) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 x (.f64 (.f64 eps x) #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 x (.f64 x (.f64 #s(literal -1/36 binary64) eps)) (*.f64 #s(literal 1/6 binary64) eps))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (.f64 #s(literal -1/6 binary64) eps))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 eps eps)) (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) eps (*.f64 #s(literal -1/6 binary64) eps))))
(-.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) (.f64 (neg.f64 eps) #s(literal 1/6 binary64)))
(-.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) (.f64 #s(literal -1/6 binary64) eps))
(-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/36 binary64) (.f64 eps (.f64 x x))))
(-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 (neg.f64 (.f64 eps (.f64 x x))) #s(literal -1/36 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -1/36 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 eps (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))))))))
(+.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))) (.f64 #s(literal 1/6 binary64) eps))
(+.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x))))
#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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) #s(literal 2 binary64))))
(/.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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) #s(literal 2 binary64)) (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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps (sin.f64 x)))
(/.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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) #s(literal 2 binary64))))
(/.f64 (neg.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) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps (sin.f64 x))))
(/.f64 (neg.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) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx ( (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) 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) #s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))) eps) #s(literal 2 binary64)))))
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(fma.f64 eps (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps))))
(-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (.f64 #s(literal -1/2 binary64) eps)))
(-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))) (sin.f64 x)))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (neg.f64 (sin.f64 x)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(+.f64 (fma.f64 (.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 eps eps))) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x))) (pow.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x))) (pow.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 eps eps)) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)))
(+.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps))
(+.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)))
(sin.f64 x)
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 eps #s(literal 1/6 binary64))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) eps)))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (* (* (sin x) eps) 1/6) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) eps)) x))
#s(approx (- (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #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)))
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 eps))) eps)
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps 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) eps) eps)
(.f64 #s(literal 1/6 binary64) (fabs.f64 (.f64 (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 1/6 binary64))))
(.f64 eps (fabs.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64))))
(.f64 eps (.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64)))
(.f64 eps (.f64 #s(literal 1/6 binary64) eps))
(fabs.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(fabs.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) eps)) eps)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1/24 binary64)))
(.f64 (.f64 #s(literal 1/24 binary64) eps) eps)
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 1/24 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 1/24 binary64) eps)))
(.f64 eps (.f64 #s(literal 1/24 binary64) eps))
(fabs.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
(fabs.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (cos x) (+ (* eps (* 1/24 eps)) -1/2)) (* (* (sin x) eps) 1/6)) eps) (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))))
(.f64 (.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))

eval63.0ms (0.4%)

Memory: -1.9MiB live, 43.9MiB allocated
Compiler: Compiled 25 895 to 2 586 computations (90% saved)

prune36.0ms (0.2%)

Memory

-19.7MiB live, 27.8MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	431	14	445
Fresh	7	6	13
Picked	4	1	5
Done	0	2	2
Total	442	23	465

Accuracy

100.0%

Counts

465 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	52.8%	(-.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))))
	81.6%	(.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))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x))) eps))
▶	99.5%	#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)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))) eps))
	99.5%	#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)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) eps (*.f64 #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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
	99.3%	#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) #s(approx (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
✓	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	99.4%	#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))
	98.8%	#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)) (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))
	98.8%	#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)) #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 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	99.4%	#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))
▶	98.8%	#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))
	98.8%	#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 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	95.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (.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)) eps)) (.f64 eps eps))) eps))
	22.3%	#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)))))
	98.9%	#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 #s(literal 1/4 binary64) (.f64 (.f64 eps x) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
▶	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
✓	79.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 822 to 1 181 computations (35.2% saved)

simplify223.0ms (1.5%)

Memory

-16.6MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #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)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))) eps))
cost-diff	2	(fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/4 binary64) eps))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps))
cost-diff	0	(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))
cost-diff	0	#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)))
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 (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)
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 (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))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
cost-diff	1	(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
cost-diff	0	(.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) #s(approx (* (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) 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)) #s(approx (* (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) eps) (sin.f64 x)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1001
0	143	1001
1	279	994
2	757	994
3	2709	989
4	5779	989
0	8547	967

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

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

localize424.0ms (2.9%)

Memory

33.4MiB live, 128.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 (.f64 x x) eps)
accuracy	0.1171875	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))) eps)
accuracy	0.12271518773811045	#s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))
accuracy	0.1791683118804876	#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)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)))) eps))
accuracy	0.2109375	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.234375	(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))
accuracy	0.25561708671438743	#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)))
accuracy	0.34375	(.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)
accuracy	0.1171875	(.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)
accuracy	0.1791683118804876	#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))
accuracy	0.26953125	(*.f64 #s(literal 1/6 binary64) eps)
accuracy	0.6757390134299845	#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)))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
accuracy	0.1015625	(.f64 (.f64 x x) eps)
accuracy	0.2544315952595184	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
accuracy	12.89482941043805	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
accuracy	0.12109375	(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 #s(literal 1/24 binary64) eps) #s(literal -1/2 binary64)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) eps) (sin.f64 x)) eps)
accuracy	0.26157794535197343	#s(approx (* (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))
accuracy	0.26953125	(*.f64 #s(literal 1/24 binary64) eps)
accuracy	0.27734375	(.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps)

Samples

249.0ms	171×	2	valid
101.0ms	77×	1	valid
8.0ms	4×	3	valid
5.0ms	2×	5	exit
1.0ms	2×	0	valid

Compiler

Compiled 626 to 74 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 112.0ms (40% of total)

adjust: 57.0ms (20.4% of total)

ival-cos: 51.0ms (18.2% of total)

ival-add: 28.0ms (10% of total)

const: 15.0ms (5.4% of total)

ival-sub: 11.0ms (3.9% of total)

ival-sin: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series69.0ms (0.5%)

Memory

-24.1MiB live, 21.1MiB allocated

Counts

29 → 161

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	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) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (- (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)) (+ (* (- (* (+ (* 1/4 x) (* 1/6 eps)) eps) 1) x) (* -1/2 eps)) (- (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)) (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (* (+ (* (* x x) -1/36) 1/6) eps) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* (* x x) eps) (* 1/6 eps) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (* (* eps eps) 1/6) (* (* (cos x) -1/2) eps))
6.0ms	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) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (- (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)) (+ (* (- (* (+ (* 1/4 x) (* 1/6 eps)) eps) 1) x) (* -1/2 eps)) (- (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)) (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (* (+ (* (* x x) -1/36) 1/6) eps) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* (* x x) eps) (* 1/6 eps) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (* (* eps eps) 1/6) (* (* (cos x) -1/2) eps))
5.0ms	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) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (- (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)) (+ (* (- (* (+ (* 1/4 x) (* 1/6 eps)) eps) 1) x) (* -1/2 eps)) (- (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)) (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (* (+ (* (* x x) -1/36) 1/6) eps) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* (* x x) eps) (* 1/6 eps) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (* (* eps eps) 1/6) (* (* (cos x) -1/2) eps))
5.0ms	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) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (- (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)) (+ (* (- (* (+ (* 1/4 x) (* 1/6 eps)) eps) 1) x) (* -1/2 eps)) (- (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)) (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (* (+ (* (* x x) -1/36) 1/6) eps) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* (* x x) eps) (* 1/6 eps) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (* (* eps eps) 1/6) (* (* (cos x) -1/2) eps))
5.0ms	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) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (- (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)) (+ (* (- (* (+ (* 1/4 x) (* 1/6 eps)) eps) 1) x) (* -1/2 eps)) (- (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)) (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (* (+ (* (* x x) -1/36) 1/6) eps) (* 1/24 eps) (* (* (sin x) eps) 1/6) (* (* x x) eps) (* 1/6 eps) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (* (* eps eps) 1/6) (* (* (cos x) -1/2) eps))

simplify163.0ms (1.1%)

Memory

-4.3MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	2882
1	2099	2827
0	8467	2626

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 161

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)
(- (* 1/6 (* eps (pow x 2))) eps)
(* -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)))))))))
(* -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)))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(* 1/4 eps)
(+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))
(* 1/6 eps)
(+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps))
(* 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)))))))
(* eps (pow x 2))
(* x (+ 1/6 (* -1/36 (pow eps 2))))
(* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* x (+ 1/6 (* -1/36 (pow eps 2)))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (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))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* -1 (* eps (sin x)))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* 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)))
(* 1/4 (* eps (pow x 2)))
(* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))
(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(* (pow x 3) (+ 1/6 (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/36 (pow eps 2)))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (+ (* -1/36 (pow eps 2)) (* 1/6 (/ (pow eps 2) (pow x 2)))))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3)))))) (/ 1 (pow x 2))))
(* -1/48 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2))))))
(* -1/48 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/48 eps) (* 1/4 (/ eps (pow x 2)))))
(* -1/36 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/36 eps) (* 1/6 (/ eps (pow x 2)))))
(* 1/6 (* eps (sin x)))
(* x (+ 1/6 (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) (* -1/36 (pow eps 2)))))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* 1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (+ (* -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)))) x)))))
(* -1 (* x (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* 1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) 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)))))))
(* 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))
(* 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))))))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* -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)))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2))))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2))
(* eps (+ 1/4 (* -1/48 (pow x 2))))
(* eps (+ 1/6 (* -1/36 (pow x 2))))
(* 1/24 eps)
(* 1/6 x)
(+ (* -1/36 (* (pow eps 2) x)) (* 1/6 x))
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))
(+ (* 1/6 x) (* eps (+ 1/4 (* eps (+ (* -1/36 x) (* -1/48 eps))))))
(* 1/6 (pow eps 2))
(* 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))))))
(* 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)))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))
(* -1/36 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/36 x) (* 1/6 (/ x (pow eps 2)))))
(* -1/48 (pow eps 3))
(* (pow eps 3) (- (* -1/36 (/ x eps)) 1/48))
(* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (/ 1/4 (pow eps 2))) 1/48))
(* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (+ (* 1/6 (/ x (pow eps 3))) (/ 1/4 (pow eps 2)))) 1/48))
(- (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)))))
(* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))
(* -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 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* eps (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
(* -1 (* eps (- (* 1/48 (pow x 2)) 1/4)))
(* -1 (* (pow eps 3) (+ 1/48 (* 1/36 (/ x eps)))))
(* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1/36 x) (* 1/4 (/ 1 eps))) eps)))))
(* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)) eps)))))

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

rewrite186.0ms (1.3%)

Memory

13.8MiB live, 58.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	749
0	143	749
1	563	744
2	4403	744
0	8333	733

Stop Event

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

Counts

29 → 278

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

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

eval68.0ms (0.5%)

Memory: 10.0MiB live, 55.3MiB allocated
Compiler: Compiled 26 797 to 2 846 computations (89.4% saved)

prune31.0ms (0.2%)

Memory

5.0MiB live, 52.5MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	436	7	443
Fresh	4	11	15
Picked	3	2	5
Done	0	3	3
Total	443	23	466

Accuracy

100.0%

Counts

466 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	52.8%	(-.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))))
	81.6%	(.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))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 x)) eps (.f64 #s(approx ( (* (cos x) -1/2) eps) (fma.f64 (.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) x) x (.f64 #s(literal -1/2 binary64) eps))) eps)))
	99.5%	#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)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 #s(approx (+ ( -1/48 (* (* x x) eps)) (* 1/4 eps)) (.f64 #s(literal 1/4 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)))) eps))
	99.5%	#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)) #s(approx (* (* (cos x) -1/2) eps) #s(approx (+ (* (* (+ (* -1/48 (* (* x x) eps)) (* 1/4 eps)) x) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps) x))) 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)) #s(approx ( (* (sin x) eps) 1/6) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
	99.3%	#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) #s(approx (+ (* (* (* eps eps) x) 1/6) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) eps))
✓	79.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	99.4%	#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 #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (fma.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) x #s(literal 1/4 binary64)) eps (.f64 #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))
	99.4%	#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 #s(approx (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #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))
	99.4%	#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) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	79.8%	#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)) #s(approx (+ (* (+ (* (+ (* (* (- (* 1/24 (* eps eps)) 1/2) eps) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
	98.8%	#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)) #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 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
✓	98.8%	#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))
	98.8%	#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 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	95.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (.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)) eps)) (.f64 eps eps))) eps))
	22.3%	#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)))))
	98.9%	#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 #s(literal 1/4 binary64) (.f64 (.f64 eps x) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x))))
✓	79.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 3 180 to 1 093 computations (65.6% saved)

regimes34.0ms (0.2%)

Memory

-23.3MiB live, 29.5MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

14.0ms	x
10.0ms	eps
8.0ms	(-.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)

regimes20.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

30 → 1

Calls

Call 1

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

regimes22.0ms (0.2%)

Memory

-17.2MiB live, 28.8MiB allocated

Counts

28 → 1

Calls

Call 1

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

Calls

3 calls:

9.0ms	x
7.0ms	eps
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	eps
4.0ms	(-.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)

regimes13.0ms (0.1%)

Memory

-30.5MiB live, 14.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	eps
2.0ms	(-.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)

regimes7.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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 (-.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:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.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) -1/2) (* (+ (* -1/36 (* eps eps)) 1/6) x)) x) (- (* (* eps eps) 1/6) 1)) x) (* (- (* 1/24 (* eps eps)) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (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 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) eps (neg.f64 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 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) eps (neg.f64 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
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (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
79.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
79.8%	1	`eps`
79.8%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.7%	1	`x`
79.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
79.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify51.0ms (0.4%)

Memory

-2.6MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	562
1	268	560
2	697	558
3	2397	549
4	5691	549

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness963.0ms (6.7%)

Memory

-37.9MiB live, 445.7MiB allocated

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	377	1708
1	1288	1688
2	4645	1677
0	8537	1556
0	576	2882
1	2099	2827
0	8467	2626
0	86	749
0	143	749
1	563	744
2	4403	744
0	8333	733
0	509	2374
1	1813	2336
2	7137	2324
0	8211	2165

Stop Event

1×	fuel
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
1×	iter limit
1×	node limit

Compiler

Compiled 615 to 225 computations (63.4% saved)

preprocess61.0ms (0.4%)

Memory: 30.9MiB live, 77.6MiB allocated
Compiler: Compiled 1 172 to 340 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze521.0ms (3.6%)

sample8.4s (57.8%)

explain325.0ms (2.2%)

preprocess35.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize101.0ms (0.7%)

series4.0ms (0%)

simplify139.0ms (1%)

rewrite237.0ms (1.6%)

eval35.0ms (0.2%)

prune8.0ms (0.1%)

simplify144.0ms (1%)

localize546.0ms (3.8%)

series50.0ms (0.3%)

simplify197.0ms (1.4%)

rewrite217.0ms (1.5%)

eval64.0ms (0.4%)

prune40.0ms (0.3%)

simplify166.0ms (1.1%)

localize424.0ms (2.9%)

series37.0ms (0.3%)

simplify157.0ms (1.1%)

rewrite176.0ms (1.2%)

eval63.0ms (0.4%)

prune36.0ms (0.2%)

simplify223.0ms (1.5%)

localize424.0ms (2.9%)

series69.0ms (0.5%)

simplify163.0ms (1.1%)

rewrite186.0ms (1.3%)

eval68.0ms (0.5%)

prune31.0ms (0.2%)

regimes34.0ms (0.2%)

regimes20.0ms (0.1%)

regimes22.0ms (0.2%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify51.0ms (0.4%)

soundness963.0ms (6.7%)

preprocess61.0ms (0.4%)

end0.0ms (0%)

Profiling