Metrics for 2sin (example 3.3)

analyze41.0ms (0.3%)

Memory

10.8MiB live, 86.8MiB 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)

sample6.3s (38.5%)

Memory

-221.5MiB live, 7 427.2MiB allocated

Samples

3.5s	26 127×	0	invalid
1.0s	4 483×	1	valid
422.0ms	3 773×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-add: 856.0ms (24.7% of total)

const: 602.0ms (17.4% of total)

ival-sin: 585.0ms (16.9% of total)

ival-mult: 299.0ms (8.6% of total)

ival-fabs: 287.0ms (8.3% of total)

ival-sub: 200.0ms (5.8% of total)

ival-<=: 195.0ms (5.6% of total)

ival-<: 166.0ms (4.8% of total)

adjust: 114.0ms (3.3% of total)

ival-and: 101.0ms (2.9% of total)

exact: 44.0ms (1.3% of total)

ival-assert: 13.0ms (0.4% of total)

Bogosity

preprocess26.0ms (0.2%)

Memory

1.8MiB live, 40.8MiB allocated

Algorithm

2×	egg-herbie

Rules

114×	`sub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
76×	`cancel-sign-sub-inv`
62×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (sin (+ x eps)) (sin x))

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

Call 2

Inputs
(- (sin (+ x eps)) (sin x))
(- (sin (+ (neg x) eps)) (sin (neg x)))
(- (sin (+ x (neg eps))) (sin x))
(neg (- (sin (+ (neg x) eps)) (sin (neg x))))
(neg (- (sin (+ x (neg eps))) (sin x)))
(- (sin (+ eps x)) (sin eps))

Outputs
(- (sin (+ x eps)) (sin x))
(- (sin (+ (neg x) eps)) (sin (neg x)))
(+ (sin x) (sin (- eps x)))
(- (sin (+ x (neg eps))) (sin x))
(- (sin (- x eps)) (sin x))
(neg (- (sin (+ (neg x) eps)) (sin (neg x))))
(- (sin (- x eps)) (sin x))
(neg (- (sin (+ x (neg eps))) (sin x)))
(+ (sin x) (sin (- eps x)))
(- (sin (+ eps x)) (sin eps))
(- (sin (+ x eps)) (sin eps))

explain91.0ms (0.6%)

Memory

1.8MiB live, 160.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
220	3	(-4.894880893080586e-73 7.052775425016505e-77)	1	(-9.894769428656347e-115 1.35976347905779e-116)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
4	0	-	0	-	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	222	9
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	3	0
`sin.f64`	`(sin.f64 (+.f64 x eps))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	221	1
-	2	32

Precision

0.9910313901345291

Recall

0.9954954954954955

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	1	0
-	2	8	24

Precision?

0.9568965517241379

Recall?

1.0

Freqs

test

number	freq
0	33
1	220
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	282×	1	valid
12.0ms	228×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 13.0ms (51.7% of total)

adjust: 4.0ms (15.9% of total)

ival-add: 4.0ms (15.9% of total)

ival-sub: 3.0ms (11.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(sin.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (sin (+ x eps)) (sin x))
(sin (+ x eps))
(+ x eps)
x
eps
(sin x)

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

localize29.0ms (0.2%)

Memory

-10.7MiB live, 28.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	61.5%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Samples

13.0ms	141×	1	valid
7.0ms	114×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (49.4% of total)

adjust: 2.0ms (16.5% of total)

ival-add: 2.0ms (16.5% of total)

ival-sub: 2.0ms (16.5% of total)

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

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

series4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (- (sin (+ x eps)) (sin x))>
#<alt (sin (+ x eps))>
#<alt (+ x eps)>
#<alt (sin x)>

Outputs
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (- eps (* -1 x))) (sin x))>
#<alt (- (sin (- eps (* -1 x))) (sin x))>
#<alt (- (sin (- eps (* -1 x))) (sin x))>
#<alt (- (sin (- eps (* -1 x))) (sin x))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (+ eps x)) (sin x))>
#<alt (- (sin (- x (* -1 eps))) (sin x))>
#<alt (- (sin (- x (* -1 eps))) (sin x))>
#<alt (- (sin (- x (* -1 eps))) (sin x))>
#<alt (- (sin (- x (* -1 eps))) (sin x))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(- (sin (+ x eps)) (sin x))
0.0ms	x	@	0	(- (sin (+ x eps)) (sin x))
0.0ms	eps	@	0	(- (sin (+ x eps)) (sin x))
0.0ms	x	@	inf	(+ x eps)
0.0ms	x	@	-inf	(- (sin (+ x eps)) (sin x))

rewrite344.0ms (2.1%)

Memory

2.2MiB live, 426.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 986×	`accelerator-lowering-fma.f32`
4 986×	`accelerator-lowering-fma.f64`
4 676×	`-lowering-.f32`
4 676×	`-lowering-.f64`
2 176×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	49	16
2	376	16
3	4763	16
0	8212	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 214

Calls

Call 1

Inputs
(- (sin (+ x eps)) (sin x))
(sin (+ x eps))
(+ x eps)
(sin x)

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

simplify405.0ms (2.5%)

Memory

13.2MiB live, 524.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 678×	`accelerator-lowering-fma.f32`
16 678×	`accelerator-lowering-fma.f64`
4 132×	`-lowering-.f32`
4 132×	`-lowering-.f64`
2 614×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	496
1	314	496
2	775	489
3	2836	489
4	6173	489
0	8126	458

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(-.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 0 binary64))) x)
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (cos eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (fma.f64 x (cos.f64 eps) #s(literal 0 binary64)))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 (cos.f64 eps) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 eps (cos.f64 x)))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 (.f64 eps (cos.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval279.0ms (1.7%)

Memory: -183.8MiB live, 48.1MiB allocated
Compiler: Compiled 7 832 to 845 computations (89.2% saved)

prune41.0ms (0.3%)

Memory

-13.7MiB live, 68.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	288	10	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	288	11	299

Accuracy

100.0%

Counts

299 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	59.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	59.6%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	59.0%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.4%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	98.8%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	97.8%	(*.f64 eps (cos.f64 x))
▶	96.4%	(sin.f64 eps)

Compiler

Compiled 311 to 204 computations (34.4% saved)

simplify417.0ms (2.6%)

Memory

20.1MiB live, 447.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	192	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	192	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	192	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))

Rules

11 686×	`accelerator-lowering-fma.f32`
11 686×	`accelerator-lowering-fma.f64`
3 314×	`+-lowering-+.f64`
3 314×	`+-lowering-+.f32`
3 170×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	265
1	121	265
2	324	249
3	894	248
4	2505	248
5	5169	248
6	7715	248
0	8237	224

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
eps
0
1/2
(cos (* (+ (* x 2) eps) 1/2))
(* (+ (* x 2) eps) 1/2)
(+ (* x 2) eps)
x
2
(sin eps)
eps
(- (sin (+ x eps)) (* x (+ (* x (* x -1/6)) 1)))
(sin (+ x eps))
(+ x eps)
x
eps
(* x (+ (* x (* x -1/6)) 1))
(+ (* x (* x -1/6)) 1)
(* x -1/6)
-1/6
1
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)))
(sin (+ x eps))
(+ x eps)
x
eps
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)
(* x x)
(+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)
(* x (+ (* (* x x) -1/5040) 1/120))
(+ (* (* x x) -1/5040) 1/120)
-1/5040
1/120
-1/6
1
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (+ (cos eps) -1)))
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(sin eps)
eps
(* x (+ (cos eps) -1))
(+ (cos eps) -1)
(cos eps)
-1

Outputs
(* (* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(sin (* (+ eps 0) 1/2))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(* (+ eps 0) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ eps 0)
eps
eps
0
#s(literal 0 binary64)
1/2
#s(literal 1/2 binary64)
(cos (* (+ (* x 2) eps) 1/2))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* (+ (* x 2) eps) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+ (* x 2) eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
2
#s(literal 2 binary64)
(sin eps)
(sin.f64 eps)
eps
(- (sin (+ x eps)) (* x (+ (* x (* x -1/6)) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)))
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ (* x (* x -1/6)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* x -1/6)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x -1/6)
(fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)))
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* x (+ (* (* x x) -1/5040) 1/120))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64))
(+ (* (* x x) -1/5040) 1/120)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (+ (cos eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (fma.f64 (sin.f64 eps) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+ (* x (* x -1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
x
(* x -1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(sin eps)
(sin.f64 eps)
eps
(* x (+ (cos eps) -1))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (cos eps) -1)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos eps)
(cos.f64 eps)
-1
#s(literal -1 binary64)

localize282.0ms (1.7%)

Memory

20.5MiB live, 499.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓	accuracy	99.8%	(*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
✓	accuracy	50.0%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))

Samples

139.0ms	160×	2	valid
63.0ms	90×	1	valid
2.0ms	1×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 253 to 48 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult: 50.0ms (31.4% of total)

ival-add: 27.0ms (17% of total)

ival-cos: 26.0ms (16.3% of total)

adjust: 23.0ms (14.4% of total)

const: 16.0ms (10% of total)

ival-sin: 11.0ms (6.9% of total)

ival-sub: 4.0ms (2.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series32.0ms (0.2%)

Memory

-13.0MiB live, 64.3MiB allocated

Counts

22 → 384

Calls

Call 1

Inputs
#<alt (* (+ (* x 2) eps) 1/2)>
#<alt (+ eps 0)>
#<alt (* (* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)>
#<alt (* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))>
#<alt (sin eps)>
#<alt (- (sin (+ x eps)) (* x (+ (* x (* x -1/6)) 1)))>
#<alt (sin (+ x eps))>
#<alt (+ x eps)>
#<alt (+ (* x (* x -1/6)) 1)>
#<alt (- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)>
#<alt (+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (+ (cos eps) -1)))>
#<alt (+ (* x (* x -1/2)) 1)>
#<alt (+ (cos eps) -1)>
#<alt (cos (* (+ (* x 2) eps) 1/2))>
#<alt (sin (* (+ eps 0) 1/2))>
#<alt (* x -1/6)>
#<alt (* x (+ (* x (* x -1/6)) 1))>
#<alt (* x (+ (* (* x x) -1/5040) 1/120))>
#<alt (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)>
#<alt (* x (+ (cos eps) -1))>
#<alt (cos eps)>

Outputs
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))>
#<alt (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))>
#<alt (- (sin x) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (- (sin x) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* -1/6 (* eps (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/24 (* eps x)))))))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) x)) (* 1/24 x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* 1/24 x) (* (pow eps 2) (+ (* -1/720 x) (* 1/40320 (* (pow eps 2) x))))))))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt (* x (- (cos eps) 1))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>

Calls

96 calls:

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

rewrite422.0ms (2.6%)

Memory

17.9MiB live, 576.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 242×	`-lowering-.f32`
4 242×	`-lowering-.f64`
3 910×	`/-lowering-/.f32`
3 910×	`/-lowering-/.f64`
3 780×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	193
1	271	187
2	2463	187
0	8116	168

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 605

Calls

Call 1

Inputs
(* (+ (* x 2) eps) 1/2)
(+ eps 0)
(* (* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(* (sin (* (+ eps 0) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(sin eps)
(- (sin (+ x eps)) (* x (+ (* x (* x -1/6)) 1)))
(sin (+ x eps))
(+ x eps)
(+ (* x (* x -1/6)) 1)
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)) 1)
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (+ (cos eps) -1)))
(+ (* x (* x -1/2)) 1)
(+ (cos eps) -1)
(cos (* (+ (* x 2) eps) 1/2))
(sin (* (+ eps 0) 1/2))
(* x -1/6)
(* x (+ (* x (* x -1/6)) 1))
(* x (+ (* (* x x) -1/5040) 1/120))
(+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6)
(* x (+ (cos eps) -1))
(cos eps)

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

simplify448.0ms (2.7%)

Memory

5.0MiB live, 715.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 854×	`accelerator-lowering-fma.f32`
11 854×	`accelerator-lowering-fma.f64`
6 370×	`-lowering-.f32`
6 370×	`-lowering-.f64`
4 748×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	3864
1	1306	3672
2	3798	3630
0	8364	3326

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
x
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(* 1/2 eps)
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* 1/2 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(- (sin x) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* 1/5040 (pow x 7))
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(- (sin x) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* -1/6 (* eps (+ 1 (* -1/2 (pow x 2))))))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/24 (* eps x)))))))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow eps 2))
(* (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))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 3))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 3))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x))))
(* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) x)) (* 1/24 x)))))
(* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* 1/24 x) (* (pow eps 2) (+ (* -1/720 x) (* 1/40320 (* (pow eps 2) x))))))))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
(* x (- (cos eps) 1))
1
(+ 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 eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)

Outputs
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
x
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
x
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/6 binary64))) (cos.f64 x)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(fma.f64 x (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(fma.f64 x (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 1/2 (* eps (cos x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/4 binary64))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal -1/4 binary64) (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/12 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/12 binary64))) (*.f64 (sin.f64 x) #s(literal -1/4 binary64))))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 0 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (.f64 (sin.f64 eps) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) #s(literal -1 binary64))) (sin.f64 eps))
(* 1/6 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
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(* x (+ 1 (/ eps x)))
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(+ eps x)
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(* eps (+ 1 (/ x eps)))
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
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(* 1/5040 (pow x 7))
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(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
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(* -1/5040 (pow x 6))
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(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
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(* -1/5040 (pow x 6))
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(sin eps)
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(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* -1/2 (* (pow eps 2) x))
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(* (pow eps 2) (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x))))
(.f64 eps (.f64 eps (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) x)) (* 1/24 x)))))
(.f64 (.f64 eps eps) (fma.f64 x (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/2 binary64))))
(* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* 1/24 x) (* (pow eps 2) (+ (* -1/720 x) (* 1/40320 (* (pow eps 2) x))))))))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)))) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* x (- (cos eps) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)

eval209.0ms (1.3%)

Memory: -19.9MiB live, 290.9MiB allocated
Compiler: Compiled 37 418 to 2 839 computations (92.4% saved)

prune127.0ms (0.8%)

Memory

44.9MiB live, 273.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 108	14	1 122
Fresh	0	5	5
Picked	4	1	5
Done	1	0	1
Total	1 113	20	1 133

Accuracy

100.0%

Counts

1 133 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
	61.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	97.0%	(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
	59.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	59.6%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	98.9%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
▶	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
	40.3%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	5.8%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
▶	96.9%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
	96.7%	(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	99.4%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	98.8%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	96.4%	(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
	97.8%	(*.f64 eps (cos.f64 x))
▶	96.4%	eps

Compiler

Compiled 705 to 443 computations (37.2% saved)

simplify251.0ms (1.5%)

Memory

-17.8MiB live, 434.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
✓	cost-diff	-64	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	-64	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 eps x)
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	192	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	704	(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))

Rules

8 194×	`accelerator-lowering-fma.f32`
8 194×	`accelerator-lowering-fma.f64`
3 378×	`-lowering-.f32`
3 378×	`-lowering-.f64`
1 494×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	368
1	144	330
2	481	330
3	1881	327
4	2303	327
5	2529	327
6	2940	327
7	3864	327
8	6343	327
0	8015	302

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))) 2)
(* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
eps
0
1/2
(- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))
(* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2)))
(cos (+ (* eps 1/2) 0))
(+ (* eps 1/2) 0)
(cos (* (* x 2) 1/2))
(* (* x 2) 1/2)
(* x 2)
x
2
(* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))
(sin (+ (* eps 1/2) 0))
(sin (* (* x 2) 1/2))
eps
(* eps (+ (* (* x -1/2) (+ eps x)) 1))
eps
(+ (* (* x -1/2) (+ eps x)) 1)
(* x -1/2)
x
-1/2
(+ eps x)
1
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (* eps (* eps -1/2))))
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(sin eps)
eps
(* x (* eps (* eps -1/2)))
(* eps (* eps -1/2))
(* eps -1/2)
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(* eps eps)
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(+ (* eps (* eps -1/645120)) 1/3840)
(* eps -1/645120)
-1/645120
1/3840
-1/48
1/2
(cos (* (+ (* x 2) eps) 1/2))
(* (+ (* x 2) eps) 1/2)
(+ (* x 2) eps)
x
2

Outputs
(* (* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))) 2)
(fma.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (-.f64 (fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 x) #s(literal 0 binary64)) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))
(fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (-.f64 (fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 x) #s(literal 0 binary64)) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(sin (* (+ eps 0) 1/2))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(* (+ eps 0) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ eps 0)
eps
eps
0
#s(literal 0 binary64)
1/2
#s(literal 1/2 binary64)
(- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))
(-.f64 (fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 x) #s(literal 0 binary64)) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 x) #s(literal 0 binary64)))
(* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2)))
(fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 x) #s(literal 0 binary64))
(cos (+ (* eps 1/2) 0))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+ (* eps 1/2) 0)
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(cos (* (* x 2) 1/2))
(cos.f64 x)
(* (* x 2) 1/2)
x
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
(* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))
(fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 x) #s(literal 0 binary64))
(sin (+ (* eps 1/2) 0))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(sin (* (* x 2) 1/2))
(sin.f64 x)
eps
(* eps (+ (* (* x -1/2) (+ eps x)) 1))
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (+.f64 eps x) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
eps
(+ (* (* x -1/2) (+ eps x)) 1)
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (+.f64 eps x) #s(literal 0 binary64)) #s(literal 1 binary64))
(* x -1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
x
-1/2
#s(literal -1/2 binary64)
(+ eps x)
(+.f64 eps x)
1
#s(literal 1 binary64)
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (* eps (* eps -1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* x (* x -1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
x
(* x -1/2)
(fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(sin eps)
(sin.f64 eps)
eps
(* x (* eps (* eps -1/2)))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))
(* eps (* eps -1/2))
(fma.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* eps -1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 eps #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(fma.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(fma.f64 eps (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(+ (* eps (* eps -1/645120)) 1/3840)
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))
(* eps -1/645120)
(fma.f64 eps #s(literal -1/645120 binary64) #s(literal 0 binary64))
-1/645120
#s(literal -1/645120 binary64)
1/3840
#s(literal 1/3840 binary64)
-1/48
#s(literal -1/48 binary64)
1/2
#s(literal 1/2 binary64)
(cos (* (+ (* x 2) eps) 1/2))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* (+ (* x 2) eps) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+ (* x 2) eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
2
#s(literal 2 binary64)

localize177.0ms (1.1%)

Memory

3.4MiB live, 351.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
✓	accuracy	100.0%	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/645120 binary64))
✓	accuracy	99.8%	(cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/2 binary64))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 eps (*.f64 eps #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 eps x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))

Samples

108.0ms

256×

valid

Compiler

Compiled 380 to 55 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 43.0ms (52.1% of total)

ival-add: 15.0ms (18.2% of total)

const: 9.0ms (10.9% of total)

ival-sin: 8.0ms (9.7% of total)

ival-cos: 5.0ms (6.1% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series41.0ms (0.2%)

Memory

4.2MiB live, 79.0MiB allocated

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (* (* x 2) 1/2)>
#<alt (+ eps 0)>
#<alt (sin (* (+ eps 0) 1/2))>
#<alt (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))>
#<alt (+ (* (* x -1/2) (+ eps x)) 1)>
#<alt (+ eps x)>
#<alt (* eps (+ (* (* x -1/2) (+ eps x)) 1))>
#<alt (* x -1/2)>
#<alt (+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (* eps (* eps -1/2))))>
#<alt (+ (* x (* x -1/2)) 1)>
#<alt (sin eps)>
#<alt (* (+ (* x 2) eps) 1/2)>
#<alt (* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)>
#<alt (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)>
#<alt (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)>
#<alt (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))>
#<alt (* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))>
#<alt (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2)))>
#<alt (* x (* eps (* eps -1/2)))>
#<alt (* eps -1/2)>
#<alt (cos (* (+ (* x 2) eps) 1/2))>
#<alt (* eps -1/645120)>
#<alt (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))>
#<alt (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))>
#<alt (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))>
#<alt (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (sin eps)>
#<alt (+ (sin eps) (* -1/2 (* (pow eps 2) x)))>
#<alt (+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* -1/2 (pow eps 2)))))>
#<alt (+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* -1/2 (pow eps 2)))))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (+ (* -1/2 (/ (pow eps 2) x)) (/ (sin eps) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (+ (* -1/2 (/ (pow eps 2) x)) (/ (sin eps) (pow x 2)))))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) x)) (* 1/2 (pow eps 2))) x)) (* -1/2 (sin eps))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) x)) (* 1/2 (pow eps 2))) x)) (* -1/2 (sin eps))))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* -1/6 (* eps (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
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#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))>
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#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
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#<alt (- (* 1/3840 (pow eps 2)) 1/48)>
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#<alt (* -1/645120 (pow eps 4))>
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#<alt (* (sin x) (sin (* 1/2 eps)))>
#<alt (* (sin x) (sin (* 1/2 eps)))>
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#<alt (* x (sin (* 1/2 eps)))>
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#<alt (* x (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/120 (sin (* 1/2 eps)))))))))>
#<alt (* (sin x) (sin (* 1/2 eps)))>
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#<alt (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))>
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#<alt (cos (* 1/2 (+ eps (* 2 x))))>
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#<alt (cos x)>
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#<alt (* -1/645120 eps)>
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#<alt (* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))>
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#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))>
#<alt (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
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#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>

Calls

108 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (* eps (* eps -1/2))))
3.0ms	eps	@	-inf	(* eps (+ (* (* x -1/2) (+ eps x)) 1))
3.0ms	x	@	inf	(* x (* eps (* eps -1/2)))
2.0ms	x	@	inf	(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
1.0ms	x	@	0	(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)

rewrite472.0ms (2.9%)

Memory

-18.4MiB live, 745.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 686×	`-lowering-.f32`
4 686×	`-lowering-.f64`
4 308×	`accelerator-lowering-fma.f32`
4 308×	`accelerator-lowering-fma.f64`
3 670×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	255
1	292	204
2	2851	204
0	8557	182

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 708

Calls

Call 1

Inputs
(* (* x 2) 1/2)
(+ eps 0)
(sin (* (+ eps 0) 1/2))
(- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))
(+ (* (* x -1/2) (+ eps x)) 1)
(+ eps x)
(* eps (+ (* (* x -1/2) (+ eps x)) 1))
(* x -1/2)
(+ (* (+ (* x (* x -1/2)) 1) (sin eps)) (* x (* eps (* eps -1/2))))
(+ (* x (* x -1/2)) 1)
(sin eps)
(* (+ (* x 2) eps) 1/2)
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))
(* (sin (* (+ eps 0) 1/2)) (- (* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (sin (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))
(* (cos (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2)))
(* x (* eps (* eps -1/2)))
(* eps -1/2)
(cos (* (+ (* x 2) eps) 1/2))
(* eps -1/645120)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))

Outputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 eps) #s(literal 3 binary64)) (.f64 (log.f64 eps) #s(literal 2 binary64))))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(fma.f64 eps #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) eps)
(/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) (neg.f64 eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 eps (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (-.f64 eps (.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64))) (.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) eps))
(/.f64 (-.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) eps) (.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) eps))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) eps) (.f64 (neg.f64 eps) #s(literal 0 binary64))) (*.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (.f64 (-.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) eps) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) eps) (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(/.f64 (neg.f64 (-.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) eps)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))
(*.f64 (pow.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(-.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (cos.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) (.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 x)) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) x))))) (/.f64 (pow.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) (.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 x)) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) x))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))))) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) x))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) x))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(-.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (cos.f64 (+.f64 #s(literal 0 binary64) x))) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (sin.f64 (+.f64 #s(literal 0 binary64) x))))
(fma.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (cos.f64 x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))) (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
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simplify439.0ms (2.7%)

Memory

34.6MiB live, 581.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 930×	`accelerator-lowering-fma.f32`
10 930×	`accelerator-lowering-fma.f64`
7 596×	`-lowering-.f32`
7 596×	`-lowering-.f64`
2 274×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	5500
1	1668	5230
2	5441	5191
0	8416	4752

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* -1/2 (* eps x))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(sin eps)
(+ (sin eps) (* -1/2 (* (pow eps 2) x)))
(+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* -1/2 (pow eps 2)))))
(+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* -1/2 (pow eps 2)))))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (+ (* -1/2 (sin eps)) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (+ (* -1/2 (/ (pow eps 2) x)) (/ (sin eps) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (+ (* -1/2 (/ (pow eps 2) x)) (/ (sin eps) (pow x 2)))))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (+ (* -1/2 (sin eps)) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) x)) (* 1/2 (pow eps 2))) x)) (* -1/2 (sin eps))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) x)) (* 1/2 (pow eps 2))) x)) (* -1/2 (sin eps))))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* -1/6 (* eps (+ 1 (* -1/2 (pow x 2))))))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
(* (pow eps 2) (+ (* -1/2 x) (/ (* (sin eps) (+ 1 (* -1/2 (pow x 2)))) (pow eps 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
x
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(* 1/2 eps)
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* 1/2 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
-1/48
(- (* 1/3840 (pow eps 2)) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* -1/48 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/48 (sin x)) (* 1/3840 (* (pow eps 2) (sin x)))))))
(* eps (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/48 (sin x)) (* (pow eps 2) (+ (* -1/645120 (* (pow eps 2) (sin x))) (* 1/3840 (sin x))))))))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (neg (* -1/2 eps))))
(* (sin x) (sin (neg (* -1/2 eps))))
(* (sin x) (sin (neg (* -1/2 eps))))
(* (sin x) (sin (neg (* -1/2 eps))))
(* x (sin (* 1/2 eps)))
(* x (+ (sin (* 1/2 eps)) (* -1/6 (* (pow x 2) (sin (* 1/2 eps))))))
(* x (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* 1/2 eps))) (* 1/120 (* (pow x 2) (sin (* 1/2 eps))))))))
(* x (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/120 (sin (* 1/2 eps)))))))))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* (sin x) (sin (* 1/2 eps)))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps))))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps))))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps))))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps))))))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(* (sin (* 1/2 eps)) (- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps)))))
(cos x)
(+ (cos x) (* -1/8 (* (pow eps 2) (cos x))))
(+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* 1/384 (* (pow eps 2) (cos x))))))
(+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* (pow eps 2) (+ (* -1/46080 (* (pow eps 2) (cos x))) (* 1/384 (cos x)))))))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1/2 (* (pow x 2) (cos (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* 1/24 (* (pow x 2) (cos (* 1/2 eps)))))))
(+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos (* 1/2 eps)))) (* 1/24 (cos (* 1/2 eps))))))))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 (* (pow eps 2) x))
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (neg (* -1/2 eps)))) (* (sin x) (sin (neg (* -1/2 eps)))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(cos (* 1/2 eps))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(fma.f64 x (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(fma.f64 x (fma.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64)) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(- (* (cos x) (cos (* 1/2 eps))) (* (sin x) (sin (* 1/2 eps))))
(fma.f64 (cos.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(.f64 x (.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(fma.f64 (.f64 x x) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(fma.f64 (.f64 x x) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(.f64 x (.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64))))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* -1/645120 eps)
(*.f64 eps #s(literal -1/645120 binary64))
(* 1/2 (* eps (cos x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/12 binary64)) (.f64 (sin.f64 x) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/12 binary64))) (.f64 (sin.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* (pow eps 7) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 eps eps)))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 eps eps))))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 eps eps)))))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 eps eps)))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal 1/48 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1/645120 binary64) (.f64 (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 eps eps)) #s(literal -1/3840 binary64))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1/645120 binary64) (.f64 (/.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.f64 eps eps)) #s(literal -1/3840 binary64)))))))
(* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 x (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(fma.f64 x (fma.f64 x (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 eps (sin.f64 (.f64 eps #s(literal -1/2 binary64)))))) (.f64 eps (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 eps (sin.f64 (.f64 eps #s(literal -1/2 binary64)))))) (.f64 eps (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))

eval178.0ms (1.1%)

Memory: 11.6MiB live, 281.8MiB allocated
Compiler: Compiled 39 756 to 3 248 computations (91.8% saved)

prune152.0ms (0.9%)

Memory

-14.6MiB live, 302.9MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 152	21	1 173
Fresh	8	6	14
Picked	4	1	5
Done	0	1	1
Total	1 164	29	1 193

Accuracy

100.0%

Counts

1 193 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
	96.4%	(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
	97.0%	(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
	97.0%	(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
	27.4%	(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
	59.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	59.6%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	58.1%	(.f64 (/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) eps) #s(literal 2 binary64))
▶	99.8%	(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
▶	100.0%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	98.9%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
	40.3%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶	4.9%	(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
	96.9%	(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	96.9%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
	96.7%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
	99.4%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	98.8%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	96.4%	(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
▶	96.9%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
	54.4%	(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
▶	97.8%	(*.f64 eps (cos.f64 x))
✓	96.4%	eps

Compiler

Compiled 1 218 to 735 computations (39.7% saved)

simplify503.0ms (3.1%)

Memory

-35.4MiB live, 792.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
✓	cost-diff	64	(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 eps (cos.f64 x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
✓	cost-diff	832	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓	cost-diff	-64	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	-64	(.f64 x (.f64 eps #s(literal -1/2 binary64)))
✓	cost-diff	-64	(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 eps #s(literal -1/645120 binary64))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))

Rules

18 244×	`accelerator-lowering-fma.f32`
18 244×	`accelerator-lowering-fma.f64`
4 912×	`-lowering-.f32`
4 912×	`-lowering-.f64`
4 514×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	444
1	181	437
2	583	433
3	2062	433
4	3196	433
5	5371	433
0	9455	392

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))) 2)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(* eps eps)
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(+ (* eps (* eps -1/645120)) 1/3840)
(* eps -1/645120)
-1/645120
1/3840
-1/48
1/2
(+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))
(sin (+ (* 1/2 eps) 0))
(+ (* 1/2 eps) 0)
0
(neg (sin x))
(sin x)
x
(* (cos x) (cos (+ (* 1/2 eps) 0)))
(cos x)
(cos (+ (* 1/2 eps) 0))
2
(* x (* x (* eps -1/2)))
x
(* x (* eps -1/2))
(* eps -1/2)
eps
-1/2
(* eps (+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x))))
eps
(+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x)))
(+ 1 (* x (+ (* eps -1/2) 0)))
1
(* x (+ (* eps -1/2) 0))
x
(+ (* eps -1/2) 0)
-1/2
0
(* -1/2 (* x x))
(* x x)
(* eps (cos x))
eps
(cos x)
x
(* (* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps) 2)
(* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps)
(* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x)))
(+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2)
eps
(* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))
(+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48)
(* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))
(+ (* (+ (* eps eps) 0) -1/645120) 1/3840)
(+ (* eps eps) 0)
0
-1/645120
1/3840
-1/48
1/2
(cos (+ (* 1/2 eps) x))
(+ (* 1/2 eps) x)
x
2

Outputs
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))) 2)
(fma.f64 (fma.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))) (fma.f64 eps (fma.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))
(fma.f64 (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2))
(fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))
(+ (* eps (* eps -1/645120)) 1/3840)
(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
(* eps -1/645120)
(*.f64 eps #s(literal -1/645120 binary64))
-1/645120
#s(literal -1/645120 binary64)
1/3840
#s(literal 1/3840 binary64)
-1/48
#s(literal -1/48 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))
(fma.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64)))
(sin (+ (* 1/2 eps) 0))
(sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
(+ (* 1/2 eps) 0)
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(neg (sin x))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
x
(* (cos x) (cos (+ (* 1/2 eps) 0)))
(fma.f64 (cos.f64 x) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(cos x)
(cos.f64 x)
(cos (+ (* 1/2 eps) 0))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)))
2
#s(literal 2 binary64)
(* x (* x (* eps -1/2)))
(fma.f64 x (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x (* eps -1/2))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* eps -1/2)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))
eps
-1/2
#s(literal -1/2 binary64)
(* eps (+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 0 binary64))
eps
(+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x)) #s(literal 1 binary64))
(+ 1 (* x (+ (* eps -1/2) 0)))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (+ (* eps -1/2) 0))
(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* eps -1/2) 0)
(fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
(* -1/2 (* x x))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(*.f64 x x)
(* eps (cos x))
(*.f64 eps (cos.f64 x))
eps
(cos x)
(cos.f64 x)
x
(* (* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps) 2)
(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 eps (fma.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)))
(* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps)
(fma.f64 (fma.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x)))
(fma.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2)
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
eps
(* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64))
(+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48)
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))
(* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))
(fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal 0 binary64))
(+ (* (+ (* eps eps) 0) -1/645120) 1/3840)
(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
(+ (* eps eps) 0)
(fma.f64 eps eps #s(literal 0 binary64))
0
#s(literal 0 binary64)
-1/645120
#s(literal -1/645120 binary64)
1/3840
#s(literal 1/3840 binary64)
-1/48
#s(literal -1/48 binary64)
1/2
#s(literal 1/2 binary64)
(cos (+ (* 1/2 eps) x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(+ (* 1/2 eps) x)
(fma.f64 eps #s(literal 1/2 binary64) x)
x
2
#s(literal 2 binary64)

localize197.0ms (1.2%)

Memory

29.2MiB live, 406.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
✓	accuracy	99.9%	(*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))
✓	accuracy	99.8%	(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 eps #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
✓	accuracy	100.0%	(fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/645120 binary64))

Samples

109.0ms

256×

valid

Compiler

Compiled 429 to 58 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 44.0ms (51.9% of total)

const: 15.0ms (17.7% of total)

ival-add: 14.0ms (16.5% of total)

ival-cos: 7.0ms (8.3% of total)

ival-sin: 4.0ms (4.7% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series33.0ms (0.2%)

Memory

3.3MiB live, 81.4MiB allocated

Counts

26 → 456

Calls

Call 1

Inputs
#<alt (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)>
#<alt (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)>
#<alt (+ (* eps (* eps -1/645120)) 1/3840)>
#<alt (* eps -1/645120)>
#<alt (* x (* x (* eps -1/2)))>
#<alt (* x (* eps -1/2))>
#<alt (* eps -1/2)>
#<alt (+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x)))>
#<alt (+ 1 (* x (+ (* eps -1/2) 0)))>
#<alt (+ (* eps -1/2) 0)>
#<alt (* x x)>
#<alt (* eps (cos x))>
#<alt (cos x)>
#<alt (+ (* (+ (* eps eps) 0) -1/645120) 1/3840)>
#<alt (* (* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps) 2)>
#<alt (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2)>
#<alt (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48)>
#<alt (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))>
#<alt (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))>
#<alt (* (cos x) (cos (+ (* 1/2 eps) 0)))>
#<alt (* eps (+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x))))>
#<alt (* -1/2 (* x x))>
#<alt (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))>
#<alt (cos (+ (* 1/2 eps) x))>
#<alt (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))>
#<alt (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x)))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt -1/48>
#<alt (- (* 1/3840 (pow eps 2)) 1/48)>
#<alt (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)>
#<alt (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt 1/3840>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/645120 eps)>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/3840>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (+ 1/3840 (* -1/645120 (pow eps 2)))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 7) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (+ (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (/ (cos (+ x (* 1/2 eps))) (pow eps 6))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/322560 (cos (- x (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/322560 (cos (- x (* -1/2 eps)))) (* 1/24 (/ (cos (- x (* -1/2 eps))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1 (/ (cos (- x (* -1/2 eps))) (pow eps 6))) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/322560 (cos (- x (* -1/2 eps)))) (* 1/24 (/ (cos (- x (* -1/2 eps))) (pow eps 4))))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt -1/48>
#<alt (- (* 1/3840 (pow eps 2)) 1/48)>
#<alt (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)>
#<alt (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 4))) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 4))) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (+ (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2))) (* 1/2 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 7) (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (+ (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))) (* 1/48 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 6))) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (+ (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))) (* 1/48 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 4))))))))>
#<alt (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))>
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#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
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#<alt (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))>
#<alt (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))>
#<alt (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (+ (* -1 (sin (* 1/2 eps))) (* -1/2 (* x (cos (* 1/2 eps)))))))>
#<alt (+ (cos (* 1/2 eps)) (* x (+ (* -1 (sin (* 1/2 eps))) (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1/2 (* (pow x 2) (cos (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* 1/24 (* (pow x 2) (cos (* 1/2 eps)))))))>
#<alt (+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos (* 1/2 eps)))) (* 1/24 (cos (* 1/2 eps))))))))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (cos x)>
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#<alt (+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* 1/384 (* (pow eps 2) (cos x))))))>
#<alt (+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* (pow eps 2) (+ (* -1/46080 (* (pow eps 2) (cos x))) (* 1/384 (cos x)))))))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (* 1/2 eps)))>
#<alt (* (cos x) (cos (neg (* -1/2 eps))))>
#<alt (* (cos x) (cos (neg (* -1/2 eps))))>
#<alt (* (cos x) (cos (neg (* -1/2 eps))))>
#<alt (* (cos x) (cos (neg (* -1/2 eps))))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/48 eps)>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (* 1/3840 eps)>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* 1/2 (cos x))>
#<alt (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x)))>
#<alt (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))>
#<alt (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x)))))))))>
#<alt (* -1/645120 (* (pow eps 6) (cos (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (+ x (* 1/2 eps))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 6) (cos (- x (* -1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (+ (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (- x (* -1/2 eps))) (pow eps 6)))))))>
#<alt (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (+ (* -1 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/2 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* 1/6 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps) 2)
2.0ms	eps	@	inf	(* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x)))
1.0ms	eps	@	-inf	(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))
1.0ms	x	@	inf	(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))
1.0ms	x	@	-inf	(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))

rewrite550.0ms (3.4%)

Memory

6.1MiB live, 897.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 644×	`accelerator-lowering-fma.f32`
8 644×	`accelerator-lowering-fma.f64`
4 990×	`-lowering-.f32`
4 990×	`-lowering-.f64`
3 890×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	305
1	363	271
2	2945	271
0	9355	237

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 948

Calls

Call 1

Inputs
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)
(+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)
(+ (* eps (* eps -1/645120)) 1/3840)
(* eps -1/645120)
(* x (* x (* eps -1/2)))
(* x (* eps -1/2))
(* eps -1/2)
(+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x)))
(+ 1 (* x (+ (* eps -1/2) 0)))
(+ (* eps -1/2) 0)
(* x x)
(* eps (cos x))
(cos x)
(+ (* (+ (* eps eps) 0) -1/645120) 1/3840)
(* (* (* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x))) eps) 2)
(+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2)
(+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/645120)) 1/3840)) -1/48)) 1/2)) (+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0)))))
(+ (* (sin (+ (* 1/2 eps) 0)) (neg (sin x))) (* (cos x) (cos (+ (* 1/2 eps) 0))))
(* (cos x) (cos (+ (* 1/2 eps) 0)))
(* eps (+ (+ 1 (* x (+ (* eps -1/2) 0))) (* -1/2 (* x x))))
(* -1/2 (* x x))
(* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))
(cos (+ (* 1/2 eps) x))
(* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))
(* (+ (* eps (* eps (+ (* eps (* eps (+ (* (+ (* eps eps) 0) -1/645120) 1/3840))) -1/48))) 1/2) (cos (+ (* 1/2 eps) x)))

Outputs
(+.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(+.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 eps (.f64 (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) (/.f64 (.f64 eps (.f64 (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))))
(fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))
(fma.f64 eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (fma.f64 eps (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) eps #s(literal 1/2 binary64))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 eps (*.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) eps (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) eps) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) eps) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) eps) (/.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) eps) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) (*.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 eps (.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64)) eps) (/.f64 (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))) eps) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
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(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))

simplify664.0ms (4.1%)

Memory

-8.6MiB live, 555.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 762×	`accelerator-lowering-fma.f32`
12 762×	`accelerator-lowering-fma.f64`
6 288×	`-lowering-.f32`
6 288×	`-lowering-.f64`
4 084×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	6037
1	1586	5903
2	5206	5639
0	8268	5180

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
-1/48
(- (* 1/3840 (pow eps 2)) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
1/3840
(+ 1/3840 (* -1/645120 (pow eps 2)))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(* -1/645120 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/645120 eps)
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps (pow x 2)))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* -1/2 (* eps x))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* -1/2 (* eps x)))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (/ 1 x)))
(* x (+ (* -1/2 eps) (/ 1 x)))
(* x (+ (* -1/2 eps) (/ 1 x)))
(* -1/2 (* eps x))
(* -1 (* x (- (* 1/2 eps) (/ 1 x))))
(* -1 (* x (- (* 1/2 eps) (/ 1 x))))
(* -1 (* x (- (* 1/2 eps) (/ 1 x))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* -1/2 (* eps x)))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (/ 1 eps)))
(* eps (+ (* -1/2 x) (/ 1 eps)))
(* eps (+ (* -1/2 x) (/ 1 eps)))
(* -1/2 (* eps x))
(* -1 (* eps (- (* 1/2 x) (/ 1 eps))))
(* -1 (* eps (- (* 1/2 x) (/ 1 eps))))
(* -1 (* eps (- (* 1/2 x) (/ 1 eps))))
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
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))))))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos 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 x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/3840
(+ 1/3840 (* -1/645120 (pow eps 2)))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(* -1/645120 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* -1/322560 (* (pow eps 7) (cos (+ x (* 1/2 eps)))))
(* (pow eps 7) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/322560 (cos (+ x (* 1/2 eps)))) (+ (* 1/1920 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (/ (cos (+ x (* 1/2 eps))) (pow eps 6))))))
(* -1/322560 (* (pow eps 7) (cos (- x (* -1/2 eps)))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/322560 (cos (- x (* -1/2 eps)))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/322560 (cos (- x (* -1/2 eps)))) (* 1/24 (/ (cos (- x (* -1/2 eps))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (cos (- x (* -1/2 eps))) (pow eps 6))) (+ (* -1/1920 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/322560 (cos (- x (* -1/2 eps)))) (* 1/24 (/ (cos (- x (* -1/2 eps))) (pow eps 4))))))))
(* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
-1/48
(- (* 1/3840 (pow eps 2)) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* -1/645120 (* (pow eps 7) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* (pow eps 7) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 4))) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/48 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 4))) (+ (* -1/645120 (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))) (+ (* 1/3840 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 2))) (* 1/2 (/ (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps)))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 7) (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (+ (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))) (* 1/48 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 6))) (+ (* -1/3840 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 2))) (+ (* 1/645120 (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))) (* 1/48 (/ (+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps))))) (pow eps 4))))))))
(* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(* eps (* (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))) (+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))
(+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))
(+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))
(+ (* -1 (* (sin x) (sin (neg (* -1/2 eps))))) (* (cos x) (cos (neg (* -1/2 eps)))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (+ (* -1 (sin (* 1/2 eps))) (* -1/2 (* x (cos (* 1/2 eps)))))))
(+ (cos (* 1/2 eps)) (* x (+ (* -1 (sin (* 1/2 eps))) (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(+ (* -1 (* (sin x) (sin (* 1/2 eps)))) (* (cos x) (cos (* 1/2 eps))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1/2 (* (pow x 2) (cos (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* 1/24 (* (pow x 2) (cos (* 1/2 eps)))))))
(+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (cos (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos (* 1/2 eps)))) (* 1/24 (cos (* 1/2 eps))))))))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(cos x)
(+ (cos x) (* -1/8 (* (pow eps 2) (cos x))))
(+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* 1/384 (* (pow eps 2) (cos x))))))
(+ (cos x) (* (pow eps 2) (+ (* -1/8 (cos x)) (* (pow eps 2) (+ (* -1/46080 (* (pow eps 2) (cos x))) (* 1/384 (cos x)))))))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (* 1/2 eps)))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(* (cos x) (cos (neg (* -1/2 eps))))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/48 eps)
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 5))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 5))
(* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (- x (* -1/2 eps)))
(cos (- x (* -1/2 eps)))
(cos (- x (* -1/2 eps)))
(cos (- x (* -1/2 eps)))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (+ x (* 1/2 eps)))
(cos (- (* 1/2 eps) (* -1 x)))
(cos (- (* 1/2 eps) (* -1 x)))
(cos (- (* 1/2 eps) (* -1 x)))
(cos (- (* 1/2 eps) (* -1 x)))
(* 1/3840 eps)
(* eps (+ 1/3840 (* -1/645120 (pow eps 2))))
(* eps (+ 1/3840 (* -1/645120 (pow eps 2))))
(* eps (+ 1/3840 (* -1/645120 (pow eps 2))))
(* -1/645120 (pow eps 3))
(* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 3))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* 1/2 (cos x))
(+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x)))
(+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))
(+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x)))))))))
(* -1/645120 (* (pow eps 6) (cos (+ x (* 1/2 eps)))))
(* (pow eps 6) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (+ x (* 1/2 eps))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 6) (cos (- x (* -1/2 eps)))))
(* (pow eps 6) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (+ (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (- x (* -1/2 eps))) (pow eps 6)))))))
(* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(+ (* -1 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/2 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* 1/6 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/48 (pow eps 2)))
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(* -1/645120 (pow eps 6))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/645120 binary64))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -1/645120 (pow eps 6))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/645120 binary64))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
-1/48
#s(literal -1/48 binary64)
(- (* 1/3840 (pow eps 2)) 1/48)
(fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(* -1/645120 (pow eps 4))
(.f64 eps (.f64 #s(literal -1/645120 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* -1/645120 (pow eps 4))
(.f64 eps (.f64 #s(literal -1/645120 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
1/3840
#s(literal 1/3840 binary64)
(+ 1/3840 (* -1/645120 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
(+ 1/3840 (* -1/645120 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))
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(.f64 #s(literal -1/645120 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* 1/2 (cos x))
(*.f64 #s(literal 1/2 binary64) (cos.f64 x))
(+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x)))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/4 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))
(fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/12 binary64)) (.f64 (sin.f64 x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x)))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/12 binary64))) (.f64 (sin.f64 x) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(* -1/645120 (* (pow eps 6) (cos (+ x (* 1/2 eps)))))
(.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* (pow eps 6) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (*.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (+ x (* 1/2 eps))) (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))))
(* -1/645120 (* (pow eps 6) (cos (- x (* -1/2 eps)))))
(.f64 #s(literal -1/645120 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(* (pow eps 6) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (*.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))))
(* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (+ (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (- x (* -1/2 eps))) (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/48 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 eps eps)) (.f64 #s(literal -1/645120 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))))
(* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))
(+ (* -1 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (cos.f64 (.f64 eps #s(literal -1/2 binary64)))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/2 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 x (sin.f64 (.f64 eps #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (.f64 eps #s(literal -1/2 binary64))))))
(+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* 1/6 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 x (cos.f64 (.f64 eps #s(literal -1/2 binary64))))) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))

eval483.0ms (3%)

Memory: 11.5MiB live, 498.1MiB allocated
Compiler: Compiled 84 958 to 7 318 computations (91.4% saved)

prune487.0ms (3%)

Memory

11.8MiB live, 657.1MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	2 406	11	2 417
Fresh	7	15	22
Picked	3	2	5
Done	1	1	2
Total	2 417	29	2 446

Accuracy

100.0%

Counts

2 446 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
	96.9%	(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
	96.4%	(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
	97.0%	(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
	97.0%	(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
	27.4%	(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
	59.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	96.7%	(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
	58.1%	(.f64 (/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) eps) #s(literal 2 binary64))
	100.0%	(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/8 binary64) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
	100.0%	(.f64 (.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
	98.9%	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
	40.3%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	4.9%	(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
	96.8%	(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	96.9%	(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
	96.9%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
	96.7%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
	99.4%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	98.8%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	96.4%	(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
	96.9%	(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
	54.4%	(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
✓	97.8%	(*.f64 eps (cos.f64 x))
✓	96.4%	eps

Compiler

Compiled 1 664 to 618 computations (62.9% saved)

regimes51.0ms (0.3%)

Memory

-30.0MiB live, 65.8MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/8 binary64) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))))) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))

Calls

3 calls:

18.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms	x
15.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes43.0ms (0.3%)

Memory

37.3MiB live, 75.5MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/8 binary64) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))

Calls

3 calls:

14.0ms	eps
13.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (0.3%)

Memory

-30.4MiB live, 89.5MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/8 binary64) #s(literal 1 binary64)) (cos.f64 x)))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 eps (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))

Calls

3 calls:

16.0ms	eps
16.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes47.0ms (0.3%)

Memory

1.5MiB live, 40.7MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs

(*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Calls

3 calls:

26.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-5.2MiB live, 34.0MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))

Outputs

(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))

Calls

3 calls:

14.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory

36.1MiB live, 36.1MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	x
8.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory

-13.2MiB live, 28.8MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes23.0ms (0.1%)

Memory

-14.7MiB live, 24.8MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))

Outputs
(*.f64 eps (cos.f64 x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(/.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 x eps)))) eps (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))
(sin.f64 eps)

Outputs

(fma.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`
97.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes46.0ms (0.3%)

Memory

-15.9MiB live, 23.5MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(.f64 eps (.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))

Outputs
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)

Calls

3 calls:

34.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`
97.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 (fma.f64 x (fma.f64 eps #s(literal 1/2 binary64) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 x eps) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps)
(.f64 eps (+.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 eps (/.f64 x eps) eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

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

Calls

3 calls:

5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	x
5.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-25.7MiB live, 13.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64))) eps)

Outputs
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))

Calls

3 calls:

3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`eps`
96.7%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))

Outputs
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`eps`
96.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.4%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

-31.7MiB live, 8.9MiB allocated

Accuracy

Total -58.7b remaining (-2570.8%)

Threshold costs -58.7b (-2570.8%)

Counts

3 → 1

Calls

Call 1

Inputs
eps
(.f64 x (.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
eps

Calls

3 calls:

26.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
96.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
96.4%	1	`eps`
96.4%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	258
1	135	258
2	137	258
3	138	258

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(*.f64 eps (cos.f64 x))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
eps

Outputs
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) eps)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 eps (fma.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(.f64 (.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) eps) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(*.f64 eps (cos.f64 x))
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (.f64 (.f64 eps eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) eps)
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))))) eps)
(fma.f64 (.f64 x eps) (.f64 #s(literal -1/2 binary64) (+.f64 x eps)) eps)
(fma.f64 (.f64 eps x) (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
eps

soundness1.6s (9.9%)

Memory

-7.8MiB live, 1 322.4MiB allocated

Rules

16 678×	`accelerator-lowering-fma.f32`
16 678×	`accelerator-lowering-fma.f64`
12 762×	`accelerator-lowering-fma.f32`
12 762×	`accelerator-lowering-fma.f64`
11 854×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	6037
1	1586	5903
2	5206	5639
0	8268	5180
0	6	16
1	49	16
2	376	16
3	4763	16
0	8212	16
0	107	496
1	314	496
2	775	489
3	2836	489
4	6173	489
0	8126	458
0	52	255
1	292	204
2	2851	204
0	8557	182
0	428	3864
1	1306	3672
2	3798	3630
0	8364	3326
0	506	5500
1	1668	5230
2	5441	5191
0	8416	4752

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×	node limit

Compiler

Compiled 655 to 349 computations (46.7% saved)

preprocess147.0ms (0.9%)

Memory: 18.4MiB live, 415.0MiB allocated
Compiler: Compiled 634 to 254 computations (59.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18

analyze41.0ms (0.3%)

sample6.3s (38.5%)

preprocess26.0ms (0.2%)

explain91.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize29.0ms (0.2%)

series4.0ms (0%)

rewrite344.0ms (2.1%)

simplify405.0ms (2.5%)

eval279.0ms (1.7%)

prune41.0ms (0.3%)

simplify417.0ms (2.6%)

localize282.0ms (1.7%)

series32.0ms (0.2%)

rewrite422.0ms (2.6%)

simplify448.0ms (2.7%)

eval209.0ms (1.3%)

prune127.0ms (0.8%)

simplify251.0ms (1.5%)

localize177.0ms (1.1%)

series41.0ms (0.2%)

rewrite472.0ms (2.9%)

simplify439.0ms (2.7%)

eval178.0ms (1.1%)

prune152.0ms (0.9%)

simplify503.0ms (3.1%)

localize197.0ms (1.2%)

series33.0ms (0.2%)

rewrite550.0ms (3.4%)

simplify664.0ms (4.1%)

eval483.0ms (3%)

prune487.0ms (3%)

regimes51.0ms (0.3%)

regimes43.0ms (0.3%)

regimes48.0ms (0.3%)

regimes47.0ms (0.3%)

regimes34.0ms (0.2%)

regimes27.0ms (0.2%)

regimes27.0ms (0.2%)

regimes23.0ms (0.1%)

regimes20.0ms (0.1%)

regimes46.0ms (0.3%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes30.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.6s (9.9%)

preprocess147.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	20	18
4	28	18
5	43	18
6	76	18
7	101	18
8	144	18
9	159	18
10	167	18
0	167	18