Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze44.0ms (0.3%)

Memory

8.2MiB live, 92.4MiB 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)

sample9.8s (65.3%)

Memory

24.0MiB live, 8 712.2MiB allocated

Samples

3.7s	25 720×	0	invalid
3.3s	5 750×	2	valid
524.0ms	2 394×	1	valid
14.0ms	112×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.1s

ival-cos: 2.6s (43.2% of total)

const: 777.0ms (12.7% of total)

adjust: 592.0ms (9.7% of total)

ival-add: 511.0ms (8.4% of total)

ival-mult: 390.0ms (6.4% of total)

ival-sub: 276.0ms (4.5% of total)

ival-fabs: 272.0ms (4.5% of total)

ival-<: 267.0ms (4.4% of total)

ival-<=: 219.0ms (3.6% of total)

ival-and: 104.0ms (1.7% of total)

exact: 47.0ms (0.8% of total)

ival-assert: 14.0ms (0.2% of total)

Bogosity

explain531.0ms (3.5%)

Memory

5.4MiB live, 288.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
135	1	(1.8191367045860255e-162 1.5057683660253746e-162)	-	`(-.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	136	0

Confusion

	Predicted +	Predicted -
+	135	0
-	1	120

Precision

0.9926470588235294

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	1	0	120

Precision?

0.9926470588235294

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

383.0ms	360×	2	valid
19.0ms	152×	1	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-cos: 262.0ms (69.3% of total)

adjust: 105.0ms (27.8% of total)

ival-sub: 6.0ms (1.6% of total)

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

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

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

preprocess25.0ms (0.2%)

Memory

-1.3MiB live, 37.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	151	35
4	277	35
5	374	35
6	460	35
7	498	35
8	550	35
9	566	35
10	574	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	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

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

11.8MiB live, 11.8MiB 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	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	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)

localize87.0ms (0.6%)

Memory

-28.5MiB live, 170.6MiB 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	31.315453373756355	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

68.0ms	180×	2	valid
10.0ms	76×	1	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-cos: 51.0ms (76.8% of total)

adjust: 10.0ms (15.1% of total)

ival-sub: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

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

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

series4.0ms (0%)

Memory

8.7MiB live, 8.7MiB 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))

simplify136.0ms (0.9%)

Memory

6.1MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	296
1	277	293
2	628	293
3	2426	292
0	8397	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)
(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 (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) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (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 (sin.f64 x)) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) 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 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 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 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (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)

rewrite181.0ms (1.2%)

Memory

-6.7MiB live, 233.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	54	16
2	385	16
3	4790	16
0	8343	16

Stop Event

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

Counts

4 → 228

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 (pow.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 9 binary64)) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 4 binary64))))
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(/.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 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))) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps x)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 eps x)) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps x)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64))) (-.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)))))
(fma.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))))
(fma.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))) (.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(fma.f64 (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)))
(-.f64 (.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))) (.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))))
(-.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)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps x)) (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 3 binary64)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 eps x)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(cos.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(cos.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(cos.f64 (+.f64 eps x))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x)))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (.f64 x x) (-.f64 eps x)))))
(+.f64 (.f64 (cos.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (.f64 eps (/.f64 eps (-.f64 x eps))))) (.f64 (sin.f64 (.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (.f64 eps (/.f64 eps (-.f64 x eps))))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 eps) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps eps (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))
(.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x))
(.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (.f64 (-.f64 x eps) (+.f64 eps x)))
(.f64 (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (pow.f64 (neg.f64 (-.f64 x eps)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (+.f64 eps x) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(.f64 (+.f64 eps x) (.f64 (-.f64 x eps) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 eps eps (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal -3 binary64))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal -3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (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 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 (-.f64 x eps) (fma.f64 eps eps (.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (-.f64 x eps) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (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 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 eps x)
(+.f64 x eps)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.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)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))

eval31.0ms (0.2%)

Memory: -11.8MiB live, 65.8MiB allocated
Compiler: Compiled 6 613 to 893 computations (86.5% saved)

prune4.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	247	4	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	4	252

Accuracy

99.8%

Counts

252 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	51.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
▶	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 (sin.f64 x)) eps))

Compiler

Compiled 53 to 42 computations (20.8% saved)

simplify43.0ms (0.3%)

Memory

-25.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	124
0	39	124
1	60	124
2	91	124
3	145	124
4	201	124
5	305	124
6	515	124
7	797	124
8	1159	124
9	1218	124
10	1239	124
11	1262	124
12	1278	124
13	1281	124
0	1281	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize195.0ms (1.3%)

Memory

23.0MiB live, 183.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 (+.f64 x eps))
accuracy	0.41151619608709467	#s(approx (cos x) #s(literal 1 binary64))
accuracy	31.315453373756355	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0.0	(cos.f64 eps)
accuracy	30.460090668939557	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	30.56348623409773	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
accuracy	0.00390625	(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
accuracy	0.0234375	(-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x))
accuracy	0.109375	(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
accuracy	0.0	(sin.f64 x)
accuracy	0.0	(neg.f64 (sin.f64 x))
accuracy	0.0078125	(*.f64 (neg.f64 (sin.f64 x)) eps)
accuracy	12.029731332131547	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 (sin.f64 x)) eps))

Samples

143.0ms	180×	2	valid
24.0ms	73×	1	valid
6.0ms	3×	3	valid

Compiler

Compiled 223 to 44 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-cos: 81.0ms (55.5% of total)

ival-sub: 20.0ms (13.7% of total)

adjust: 19.0ms (13% of total)

ival-mult: 16.0ms (11% of total)

ival-sin: 5.0ms (3.4% of total)

ival-add: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

-18.7MiB live, 16.5MiB allocated

Counts

15 → 70

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1 (* 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)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 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))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 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))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (sin x))
(sin x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 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)))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (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)))
(+ (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))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
2.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (* (* (cos x) -1/2) eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify215.0ms (1.4%)

Memory

2.4MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	763
1	676	753
2	1734	730
3	4336	729
0	8635	666

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1 (* 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)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 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))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 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))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (sin x)))
(* -1 (sin x))
(sin x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 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)))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (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)))
(+ (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))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(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)
(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 (fma.f64 (sin.f64 eps) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #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)))
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 x x) (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)))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.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)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) x) x) #s(literal 1/4 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(fma.f64 eps (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) (.f64 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 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 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) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) 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 x x) #s(literal 1/6 binary64) #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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(sin x)
(sin.f64 x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(- (* -1/2 (* eps (cos x))) (sin x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(cos (+ eps x))
(cos.f64 (+.f64 eps 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)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 eps eps) #s(literal -1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(+ (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 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x))) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) eps (cos.f64 x))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)

rewrite166.0ms (1.1%)

Memory

18.0MiB live, 53.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	39	106
1	133	106
2	855	106
0	8452	106

Stop Event

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

Counts

15 → 365

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (.f64 eps #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) eps))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps))) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 x) eps)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (sin.f64 x) eps) (.f64 (sin.f64 x) eps) (.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) eps)))))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 #s(literal 0 binary64) eps (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 eps #s(literal 0 binary64) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) eps))
(+.f64 (.f64 #s(literal 0 binary64) eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 eps #s(literal 0 binary64)) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))))
(/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))))
(neg.f64 (sin.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (pow.f64 (fma.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))) #s(literal -1 binary64)))
(.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) #s(literal -1 binary64)) eps))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))) #s(literal -1 binary64)) eps))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x)))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (neg.f64 eps) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (neg.f64 eps) (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x))))
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(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) #s(approx (cos x) #s(literal 1 binary64))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))))))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(+.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (cos.f64 (+.f64 eps x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) #s(approx (cos x) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))))
(.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 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.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 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))) (cos.f64 (-.f64 x eps)))
(/.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 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x))))) (-.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)))))
(fma.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (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 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 1 binary64) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 eps) (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))) (/.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (cos.f64 (-.f64 x eps))))
(-.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 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (cos.f64 eps) (cos.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 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 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 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (.f64 (neg.f64 (+.f64 eps x)) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)))))
(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))
(.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 (+.f64 eps x) (pow.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (+.f64 eps x) (.f64 (-.f64 x eps) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal -1 binary64))
(/.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 (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 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (neg.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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (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 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (neg.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 x (-.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 (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 eps x)) (-.f64 x eps)) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.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)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))
(-.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 (.f64 x x) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))

eval48.0ms (0.3%)

Memory: -0.9MiB live, 37.2MiB allocated
Compiler: Compiled 12 755 to 1 616 computations (87.3% saved)

prune23.0ms (0.2%)

Memory

-19.9MiB live, 19.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	418	9	427
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	422	9	431

Accuracy

100.0%

Counts

431 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
	83.2%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x))))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))))
	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 #s(approx ( (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (sin.f64 x)) eps))
	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
▶	81.0%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))))
▶	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)))

Compiler

Compiled 480 to 326 computations (32.1% saved)

simplify471.0ms (3.1%)

Memory

-11.1MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	377
0	85	377
1	155	369
2	265	369
3	543	366
4	1103	363
5	2186	363
6	4156	363
7	5642	363
8	6607	363
9	7257	363
10	7294	363
11	7307	363
12	7379	363
13	7554	363
14	7601	363
15	7611	363
16	7618	363
17	7622	363
18	7623	363
19	7623	363
20	7999	363
0	8131	354

Stop Event

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

Calls

Call 1

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

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

localize310.0ms (2.1%)

Memory

16.9MiB live, 92.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (cos.f64 x) eps)
accuracy	0.0234375	(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
accuracy	0.11328125	(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))
accuracy	0.11328125	(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x))
accuracy	0.12890625	(.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)))
accuracy	0.28304465476030194	(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.31640625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.01171875	(.f64 eps (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy	0.014872480164287515	#s(approx (* (neg (sin x)) eps) (.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x))
accuracy	0.01953125	(.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)
accuracy	12.029731332131547	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps)
accuracy	0.3599564105956249	#s(approx (neg (sin x)) (neg.f64 x))
accuracy	12.029731332131547	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps))
accuracy	0.0	(cos.f64 x)
accuracy	0.0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))
accuracy	0.00390625	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
accuracy	0.01953125	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))

Samples

195.0ms	173×	2	valid
49.0ms	79×	1	valid
6.0ms	3×	3	valid
2.0ms	1×	5	exit

Compiler

Compiled 649 to 99 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 61.0ms (29.4% of total)

ival-cos: 53.0ms (25.5% of total)

adjust: 30.0ms (14.5% of total)

ival-div: 25.0ms (12.1% of total)

ival-add: 16.0ms (7.7% of total)

const: 7.0ms (3.4% of total)

ival-sub: 6.0ms (2.9% of total)

ival-sin: 5.0ms (2.4% of total)

ival-neg: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series29.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

26 → 112

Calls

Call 1

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

Outputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
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 (* 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)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -1 eps)
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(- (* 1/4 (* (pow eps 2) x)) eps)
(- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)
(/ -2 eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 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))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/6 x)
(* 1/4 eps)
(+ (* 1/6 x) (* 1/4 eps))
(* 1/4 (pow eps 2))
(+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(sin x)
(* -1 (* eps (sin x)))
(* -1 (sin x))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(cos x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* 1/6 (* eps x))
(* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* eps (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos 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 (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(/ -1 (sin x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(* eps (+ (* 1/6 x) (* 1/4 eps)))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(/ -2 (* eps (cos x)))
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (neg x) (* (* eps (+ (* (* x x) 1/6) -1)) x) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (* eps (+ (* (* x x) 1/6) -1)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (- (cos (+ x eps)) (cos x)) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (* (* -1/2 (cos x)) eps) (cos x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (* 1/6 x))) (* (cos x) eps))
5.0ms	eps	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (neg x) (* (* eps (+ (* (* x x) 1/6) -1)) x) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (* eps (+ (* (* x x) 1/6) -1)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (- (cos (+ x eps)) (cos x)) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (* (* -1/2 (cos x)) eps) (cos x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (* 1/6 x))) (* (cos x) eps))
5.0ms	eps	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (neg x) (* (* eps (+ (* (* x x) 1/6) -1)) x) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (* eps (+ (* (* x x) 1/6) -1)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (- (cos (+ x eps)) (cos x)) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (* (* -1/2 (cos x)) eps) (cos x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (* 1/6 x))) (* (cos x) eps))
4.0ms	eps	@	0	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (neg x) (* (* eps (+ (* (* x x) 1/6) -1)) x) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (* eps (+ (* (* x x) 1/6) -1)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (- (cos (+ x eps)) (cos x)) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (* (* -1/2 (cos x)) eps) (cos x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (* 1/6 x))) (* (cos x) eps))
4.0ms	x	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (neg (sin x)) (neg x) (* (* eps (+ (* (* x x) 1/6) -1)) x) (- (cos (+ x eps)) (cos x)) (* (neg (sin x)) eps) (* eps (+ (* (* x x) 1/6) -1)) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (- (cos (+ x eps)) (cos x)) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (* (* -1/2 (cos x)) eps) (cos x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (* 1/6 x))) (* (cos x) eps))

simplify168.0ms (1.1%)

Memory

-19.8MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	1601
1	1295	1541
2	3873	1502
0	8278	1387

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

Inputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
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 (* 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)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -1 eps)
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(- (* 1/4 (* (pow eps 2) x)) eps)
(- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)
(/ -2 eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 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))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/6 x)
(* 1/4 eps)
(+ (* 1/6 x) (* 1/4 eps))
(* 1/4 (pow eps 2))
(+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(sin x)
(* -1 (* eps (sin x)))
(* -1 (sin x))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(cos x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* 1/6 (* eps x))
(* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* eps (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos 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 (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(/ -1 (sin x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(* eps (+ (* 1/6 x) (* 1/4 eps)))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(/ -2 (* eps (cos x)))
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))

Outputs
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps) x))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(fma.f64 (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)) #s(literal -1 binary64) (cos.f64 eps))
(- (+ (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)))
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)) (fma.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)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 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)) (.f64 eps (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)) x)
(* -1 eps)
(neg.f64 eps)
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)
(- (* 1/4 (* (pow eps 2) x)) eps)
(.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64)))
(- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(/ -2 eps)
(/.f64 #s(literal -2 binary64) eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 eps eps)) x (/.f64 #s(literal -2 binary64) eps))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) x (/.f64 x eps))) x (/.f64 #s(literal -2 binary64) eps))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 #s(literal 4 binary64) (.f64 eps eps))) x (/.f64 #s(literal -2 binary64) eps))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(fma.f64 (.f64 #s(literal -1/48 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #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 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/48 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps))
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/4 eps)
(*.f64 #s(literal 1/4 binary64) eps)
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))
(* 1/4 (pow eps 2))
(.f64 #s(literal 1/4 binary64) (.f64 eps eps))
(+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps)
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sin x)
(sin.f64 x)
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(* 1/6 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/6 binary64))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/6 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) eps)
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 x x))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) x) x)
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(cos x)
(cos.f64 x)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(* 1/6 (* eps x))
(.f64 #s(literal 1/6 binary64) (.f64 eps x))
(* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x)
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64) eps) (neg.f64 x))) (neg.f64 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))) x) x)
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)))
(* eps (- (* 1/6 (pow x 2)) 1))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) eps)
(* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) eps)
(/ -1 (sin x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(fma.f64 (*.f64 (cos.f64 x) (/.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) eps) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* eps (+ (* 1/6 x) (* 1/4 eps)))
(.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) #s(literal -1/2 binary64)) (*.f64 eps eps))
(* 1/4 (* (pow eps 2) x))
(.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/4 binary64))
(* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) (*.f64 eps eps))
(/ -2 (* eps (cos x)))
(/.f64 (/.f64 #s(literal -2 binary64) (cos.f64 x)) eps)
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -2 binary64) (cos.f64 x))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) eps)
(* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) eps) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 eps))) eps) eps)
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -2 binary64) (cos.f64 x))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 eps))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) (neg.f64 eps))

rewrite221.0ms (1.5%)

Memory

-11.5MiB live, 187.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	312
0	85	312
1	296	304
2	1998	304
0	8357	304

Stop Event

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

Counts

26 → 526

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps) eps) (/.f64 (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))))
(.f64 (/.f64 eps (pow.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 eps (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal -1 binary64)))
(.f64 (/.f64 eps (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 eps (pow.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) #s(literal -1/2 binary64))))
(.f64 (/.f64 eps #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(.f64 (/.f64 eps #s(literal -1 binary64)) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))))
(.f64 (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (sin.f64 x)) eps)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))))
(.f64 (.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps) #s(literal 1 binary64))
(.f64 (neg.f64 eps) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))
(pow.f64 (/.f64 (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 eps (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (sin.f64 x)) eps)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) eps) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps (.f64 (cos.f64 x) eps)) #s(literal -1/2 binary64)) (.f64 eps (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 2 binary64)) (.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))) (fma.f64 (.f64 (/.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))) (.f64 (/.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))) (.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))) (.f64 (/.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))))))
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(.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) eps)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (*.f64 eps x) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) eps) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) eps) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))))
(/.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (.f64 #s(literal 1/36 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/4 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 eps #s(literal 1/6 binary64)) x (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) eps (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 eps (.f64 #s(literal 1/4 binary64) eps) (.f64 (*.f64 eps x) #s(literal 1/6 binary64)))
(fma.f64 eps (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) eps) (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))

eval68.0ms (0.5%)

Memory: 13.7MiB live, 90.2MiB allocated
Compiler: Compiled 23 691 to 2 917 computations (87.7% saved)

prune18.0ms (0.1%)

Memory

-9.0MiB live, 34.5MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	544	7	551
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	549	11	560

Accuracy

100.0%

Counts

560 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps)))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
✓	81.0%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 eps x) #s(literal -1 binary64))) x))))
	99.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
	36.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) #s(approx (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))))
	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (fma.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x) eps (neg.f64 eps)) x)))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)))

Compiler

Compiled 720 to 479 computations (33.5% saved)

simplify120.0ms (0.8%)

Memory

19.1MiB live, 96.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x)))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
cost-diff	1	(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x))
cost-diff	5	(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
cost-diff	0	#s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))))
cost-diff	2	(/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
cost-diff	0	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
cost-diff	0	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
cost-diff	0	(neg.f64 eps)
cost-diff	0	(sin.f64 x)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps)))
cost-diff	2	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	64	638
0	95	625
1	172	618
2	295	609
3	656	609
4	1402	609
5	3048	579
6	5715	579
7	7847	579
0	8369	579

Stop Event

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

Calls

Call 1

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

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

localize337.0ms (2.2%)

Memory

-4.4MiB live, 312.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))
accuracy	0.25	(/.f64 (*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)
accuracy	0.2734375	(*.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)))
accuracy	27.459928028266894	(.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))
accuracy	0.01688253162065376	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
accuracy	0.109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
accuracy	0.28304465476030194	(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
accuracy	0.31640625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.0	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))))
accuracy	0.11328125	(/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))))
accuracy	0.25	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))
accuracy	0.37149628990910694	#s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
accuracy	0.109375	(.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
accuracy	0.37149628990910694	#s(approx (- (* (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
accuracy	0.0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps)))
accuracy	0.00390625	(.f64 (.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps)
accuracy	0.01953125	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps))
accuracy	0.41151619608709467	#s(approx (cos x) #s(literal 1 binary64))

Samples

221.0ms	173×	2	valid
59.0ms	79×	1	valid
7.0ms	3×	3	valid
2.0ms	1×	5	exit

Compiler

Compiled 1 007 to 121 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 66.0ms (29.4% of total)

ival-cos: 53.0ms (23.6% of total)

adjust: 41.0ms (18.2% of total)

ival-add: 27.0ms (12% of total)

ival-div: 15.0ms (6.7% of total)

const: 7.0ms (3.1% of total)

ival-sub: 6.0ms (2.7% of total)

ival-sin: 5.0ms (2.2% of total)

ival-neg: 4.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series30.0ms (0.2%)

Memory

-8.0MiB live, 30.4MiB allocated

Counts

28 → 129

Calls

Call 1

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

Outputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
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))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(/ -2 eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(* -1 eps)
(+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))
(+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
(* -1 (/ eps (pow x 2)))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/ (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ (* -1/2 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 x)
(* 1/6 x)
(* 1/4 eps)
(+ (* 1/6 x) (* 1/4 eps))
(* -1 (/ eps x))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(sin x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* x (- (* -1/2 (/ eps x)) 1))
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))
(* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* 1/6 eps)
(+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))
(+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(cos x)
(* -1/2 (* eps (cos x)))
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* 1/4 (pow eps 2))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(* 1/4 (/ (pow eps 2) x))
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos 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)))
(* -1 (sin x))
(- (* -1/2 eps) x)
(/ -1 (sin x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))))
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(* eps (- 1/6 (/ 1 (pow x 2))))
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* eps (- (* 1/4 eps) (/ 1 x)))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (- (* -1 (/ x eps)) 1/2))
(/ -2 (* eps (cos x)))
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(* eps (- (* 1/4 (pow x 2)) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	0	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (- (cos (+ x eps)) (cos x)) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (cos x) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (/ -1 x))) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)))
4.0ms	eps	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (- (cos (+ x eps)) (cos x)) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (cos x) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (/ -1 x))) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)))
4.0ms	eps	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (- (cos (+ x eps)) (cos x)) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (cos x) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (/ -1 x))) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)))
4.0ms	x	@	inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (- (cos (+ x eps)) (cos x)) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (cos x) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (/ -1 x))) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)))
3.0ms	x	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* -1/2 (cos x)) eps) eps)) (- (cos (+ x eps)) (cos x)) (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (/ eps (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x))))) (- (cos (+ x eps)) (cos x)) (/ 1 (+ (* (* (cos x) eps) -1/2) (neg (sin x)))) (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (- (* (* (cos x) -1/2) eps) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (cos x) (* (* -1/2 (cos x)) eps) (neg x) (* 1/6 x) (+ (* 1/4 eps) (* 1/6 x)) (* eps (+ (* 1/4 eps) (/ -1 x))) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x) (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)))

simplify136.0ms (0.9%)

Memory

-6.4MiB live, 115.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	1833
1	1327	1736
2	4070	1682
0	8297	1563

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 128

Calls

Call 1

Inputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
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))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(/ -2 eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(* -1 eps)
(+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))
(+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
(* -1 (/ eps (pow x 2)))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/ (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ (* -1/2 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 x)
(* 1/6 x)
(* 1/4 eps)
(+ (* 1/6 x) (* 1/4 eps))
(* -1 (/ eps x))
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(sin x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(- (* -1/2 (* eps (cos x))) (sin x))
(* x (- (* -1/2 (/ eps x)) 1))
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))
(* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* 1/6 eps)
(+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))
(+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(cos x)
(* -1/2 (* eps (cos x)))
(* x (+ 1/6 (* 1/4 (/ eps x))))
(* 1/4 (pow eps 2))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(* 1/4 (/ (pow eps 2) x))
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos 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)))
(* -1 (sin x))
(- (* -1/2 eps) x)
(/ -1 (sin x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))))
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(* eps (- 1/6 (/ 1 (pow x 2))))
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(* eps (- (* 1/4 eps) (/ 1 x)))
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (- (* -1 (/ x eps)) 1/2))
(/ -2 (* eps (cos x)))
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(* eps (- (* 1/4 (pow x 2)) 1/2))
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))

Outputs
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 eps (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))) x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) x))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(fma.f64 (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)) #s(literal -1 binary64) (cos.f64 eps))
(- (+ (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)))
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)) (fma.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)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(/ -2 eps)
(/.f64 #s(literal -2 binary64) eps)
(- (* 4 (/ x (pow eps 2))) (* 2 (/ 1 eps)))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 eps eps)) x (/.f64 #s(literal -2 binary64) eps))
(- (* x (+ (* -1 (* x (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) x (/.f64 x eps))) x (/.f64 #s(literal -2 binary64) eps))
(- (* x (+ (* x (- (* x (- (* 4/3 (/ 1 (pow eps 2))) (* -2 (/ (+ (/ 1 eps) (* 8 (/ 1 (pow eps 3)))) eps)))) (+ (* 8 (/ 1 (pow eps 3))) (/ 1 eps)))) (* 4 (/ 1 (pow eps 2))))) (* 2 (/ 1 eps)))
(fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal 2 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) eps))) x (/.f64 #s(literal 4 binary64) (*.f64 eps eps))) x (/.f64 #s(literal -2 binary64) eps))
(* -1 eps)
(neg.f64 eps)
(+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))
(.f64 eps (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
(fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps))
(* -1 (/ eps (pow x 2)))
(/.f64 (/.f64 (neg.f64 eps) x) x)
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) (pow x 2))
(/.f64 (.f64 eps (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (*.f64 x x))
(/ (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2))))) (pow x 2))
(/.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps)) (*.f64 x 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(fma.f64 (.f64 #s(literal -1/48 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #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 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)))))
(* -1 x)
(neg.f64 x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/4 eps)
(*.f64 #s(literal 1/4 binary64) eps)
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))
(* -1 (/ eps x))
(/.f64 (neg.f64 eps) x)
(/ (+ (* -1 eps) (* 1/4 (* (pow eps 2) x))) x)
(/.f64 (.f64 eps (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))) x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sin x)
(sin.f64 x)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(* x (- (* -1/2 (/ eps x)) 1))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
(/ 1 (- (* -1/2 (* eps (cos x))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(.f64 x (fma.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)))
(* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(.f64 x (fma.f64 (fma.f64 (/.f64 eps x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(* 1/6 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) eps)
(* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (.f64 (*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64))) x) x)
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps) (*.f64 x x))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)))
(+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
(cos x)
(cos.f64 x)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(* x (+ 1/6 (* 1/4 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(* 1/4 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/4 binary64))
(+ (* -1 (/ eps x)) (* 1/4 (pow eps 2)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(* 1/4 (/ (pow eps 2) x))
(.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/4 binary64))
(/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) eps)
(* 1/6 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/6 binary64))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
(.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))
(.f64 (fma.f64 (.f64 eps (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)) (pow.f64 x #s(literal 3 binary64)))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))
(.f64 x (fma.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))) x) x)
(+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps))
(fma.f64 #s(literal 1/6 binary64) eps (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x)))
(* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64)) (neg.f64 x))
(* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 eps eps) (/.f64 eps x)) (neg.f64 x))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))
(.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))
(.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 1/2 binary64) eps) (neg.f64 x))) (neg.f64 x))))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(- (* -1/2 eps) x)
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(/ -1 (sin x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(- (* 1/2 (/ (* eps (cos x)) (pow (sin x) 2))) (/ 1 (sin x)))
(fma.f64 (*.f64 (cos.f64 x) (/.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(- (* eps (- (* -1/4 (/ (* eps (pow (cos x) 2)) (pow (sin x) 3))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(- (* eps (- (* eps (- (* 1/8 (/ (* eps (pow (cos x) 3)) (pow (sin x) 4))) (* 1/4 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1/2 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) eps) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)))
(* eps (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)
(* eps (+ (* 1/4 (* eps x)) (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
(fma.f64 (.f64 eps (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps))) x (neg.f64 eps))
(* eps (- 1/6 (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) eps)
(* eps (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) #s(literal 1/6 binary64)) eps)
(* eps (- (* 1/4 eps) (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) eps)
(* eps (- (* 1/4 (/ eps x)) (/ 1 (pow x 2))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x)) x) eps)
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x)) eps)
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps)) eps)
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
(/ -2 (* eps (cos x)))
(/.f64 (/.f64 #s(literal -2 binary64) (cos.f64 x)) eps)
(/ (- (* 4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -2 binary64) (cos.f64 x))) eps)
(/ (- (* -8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x))))) eps)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(/ (- (* 16 (/ (pow (sin x) 3) (* (pow eps 3) (pow (cos x) 4)))) (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (+ (* 8 (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 3)))) (* 2 (/ 1 (cos x)))))) eps)
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 16 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (/.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) eps) eps)) #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 x))))) eps)
(* eps (- (* 1/4 (pow x 2)) 1/2))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)
(* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) #s(literal -1/2 binary64)) eps)
(* 1/4 (* (pow eps 2) x))
(.f64 (.f64 (*.f64 eps x) eps) #s(literal 1/4 binary64))
(* (pow eps 2) (+ (* 1/4 x) (/ (* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) eps)))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) eps) eps)
(* (pow eps 2) (- (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x))) (/ 1 (* eps (pow x 2)))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) eps)) eps) eps)
(* eps (+ 1/4 (* 1/6 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) eps)
(* (pow eps 2) (- 1/4 (/ 1 (* eps x))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) eps)) eps) eps)
(* (pow eps 2) (- (* 1/4 (/ 1 x)) (/ 1 (* eps (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) eps)) (*.f64 eps eps))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) eps)
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) #s(literal -1/2 binary64)) eps) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) (neg.f64 eps))
(* -1 (* eps (+ 1/2 (/ x eps))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)
(* -1 (/ (+ (* -4 (/ (sin x) (* eps (pow (cos x) 2)))) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -2 binary64) (cos.f64 x))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow (sin x) 2) (* eps (pow (cos x) 3)))) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (/.f64 (*.f64 #s(literal 4 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (sin x) 3) (* eps (pow (cos x) 4)))) (* -8 (/ (pow (sin x) 2) (pow (cos x) 3)))) eps)) (* -4 (/ (sin x) (pow (cos x) 2)))) eps)) (* 2 (/ 1 (cos x)))) eps))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) eps) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 eps))) eps) (/.f64 #s(literal 2 binary64) (cos.f64 x))) eps)
(* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)
(* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))
(.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))
(* (pow eps 2) (+ (* -1 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) eps)) (* 1/4 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (- (/ 1 (pow x 2)) 1/6) eps)) (* 1/4 (/ 1 x))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) eps)) eps) eps)
(* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) (neg.f64 eps))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))
(.f64 (.f64 (fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) #s(literal -1/2 binary64)) eps) eps)

rewrite162.0ms (1.1%)

Memory

34.5MiB live, 152.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	501
0	95	490
1	368	485
2	2718	485
0	8205	485

Stop Event

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

Counts

28 → 453

Calls

Call 1

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

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

eval74.0ms (0.5%)

Memory: -24.5MiB live, 98.2MiB allocated
Compiler: Compiled 29 477 to 3 366 computations (88.6% saved)

prune19.0ms (0.1%)

Memory

1.5MiB live, 41.3MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	567	5	572
Fresh	1	3	4
Picked	0	5	5
Done	0	2	2
Total	568	15	583

Accuracy

100.0%

Counts

583 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) eps)))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (/.f64 eps (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (cos x) eps) -1/2) (neg (sin x))) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))))))
✓	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))) eps))
✓	81.0%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps))
	99.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) x (neg.f64 eps)) x (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 x x))) x))))
	99.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) #s(approx (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps))) x))))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 #s(approx (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) #s(approx (* (+ (* 1/6 eps) (/ (* eps (+ (* 1/4 eps) (/ -1 x))) x)) (* x x)) (neg.f64 eps))) x))))
	36.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) -1/2) eps) (sin x)) eps) #s(approx (+ (* (* -1/2 eps) eps) (* (+ (* (* eps (+ (* 1/4 eps) (* 1/6 x))) x) (neg eps)) x)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))))
	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (fma.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x) eps (neg.f64 eps)) x)))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg (sin x)) eps) (.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))) x)))

Compiler

Compiled 1 385 to 582 computations (58% saved)

regimes19.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

-20.7MiB live, 18.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`
99.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

-26.4MiB live, 13.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) -1/2) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 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
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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)) (*.f64 #s(approx (neg (sin x)) (neg.f64 x)) eps))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (neg (sin x)) (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
81.0%	1	`x`
81.0%	1	`eps`
81.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify77.0ms (0.5%)

Memory

-9.7MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	71	206
1	120	204
2	207	204
3	407	204
4	835	204
5	1729	204
6	4952	200

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.1s (7%)

Memory

29.6MiB live, 462.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	39	106
1	133	106
2	855	106
0	8452	106
0	51	312
0	85	312
1	296	304
2	1998	304
0	8357	304
0	448	1833
1	1327	1736
2	4070	1682
0	8297	1563
0	105	296
1	277	293
2	628	293
3	2426	292
0	8397	272
0	237	763
1	676	753
2	1734	730
3	4336	729
0	8635	666
0	427	1601
1	1295	1541
2	3873	1502
0	8278	1387

Stop Event

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

Compiler

Compiled 350 to 187 computations (46.6% saved)

preprocess79.0ms (0.5%)

Memory: -21.3MiB live, 27.2MiB allocated
Compiler: Compiled 472 to 180 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	151	35
4	277	35
5	374	35
6	460	35
7	498	35
8	550	35
9	566	35
10	574	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	151	35
4	277	35
5	374	35
6	460	35
7	498	35
8	550	35
9	566	35
10	574	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

start0.0ms (0%)

analyze44.0ms (0.3%)

sample9.8s (65.3%)

explain531.0ms (3.5%)

preprocess25.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize87.0ms (0.6%)

series4.0ms (0%)

simplify136.0ms (0.9%)

rewrite181.0ms (1.2%)

eval31.0ms (0.2%)

prune4.0ms (0%)

simplify43.0ms (0.3%)

localize195.0ms (1.3%)

series39.0ms (0.3%)

simplify215.0ms (1.4%)

rewrite166.0ms (1.1%)

eval48.0ms (0.3%)

prune23.0ms (0.2%)

simplify471.0ms (3.1%)

localize310.0ms (2.1%)

series29.0ms (0.2%)

simplify168.0ms (1.1%)

rewrite221.0ms (1.5%)

eval68.0ms (0.5%)

prune18.0ms (0.1%)

simplify120.0ms (0.8%)

localize337.0ms (2.2%)

series30.0ms (0.2%)

simplify136.0ms (0.9%)

rewrite162.0ms (1.1%)

eval74.0ms (0.5%)

prune19.0ms (0.1%)

regimes19.0ms (0.1%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

simplify77.0ms (0.5%)

soundness1.1s (7%)

preprocess79.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	151	35
4	277	35
5	374	35
6	460	35
7	498	35
8	550	35
9	566	35
10	574	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18