Metrics for 2sin (example 3.3)

analyze74.0ms (0.4%)

Memory

-38.1MiB live, 43.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.1s (33.7%)

Memory

98.0MiB live, 7 658.1MiB allocated

Samples

3.5s	26 759×	0	invalid
726.0ms	4 456×	1	valid
377.0ms	3 800×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

...in/eval/compile.rkt:111:19: 650.0ms (19.2% of total)

ival-sin: 628.0ms (18.5% of total)

ival-<=: 508.0ms (15% of total)

ival-<: 313.0ms (9.2% of total)

ival-sub: 267.0ms (7.9% of total)

ival-fabs: 262.0ms (7.7% of total)

ival-mult: 258.0ms (7.6% of total)

ival-add: 236.0ms (7% of total)

adjust: 116.0ms (3.4% of total)

ival-and: 101.0ms (3% of total)

...in/eval/compile.rkt:110:19: 38.0ms (1.1% of total)

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

Bogosity

preprocess31.0ms (0.2%)

Memory

-17.4MiB live, 25.8MiB 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))

explain243.0ms (1.3%)

Memory

10.5MiB live, 124.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
221	4	(1.429680714035258e-56 3.803173838648696e-59)	5	(3.234949861443273e-91 4.825323015841042e-93)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
2	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	220	7
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	216	5
-	4	31

Precision

0.9818181818181818

Recall

0.9773755656108597

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	4	1
-	4	3	28

Precision?

0.9691629955947136

Recall?

0.995475113122172

Freqs

test

number	freq
0	36
1	218
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms	292×	1	valid
82.0ms	212×	0	valid
4.0ms	8×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-add: 76.0ms (47.1% of total)

ival-sub: 67.0ms (41.5% of total)

ival-sin: 14.0ms (8.7% of total)

adjust: 4.0ms (2.5% 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory

9.9MiB live, 9.9MiB 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)

localize73.0ms (0.4%)

Memory

-30.1MiB live, 41.3MiB 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	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Samples

46.0ms	4×	3	valid
15.0ms	146×	1	valid
5.0ms	106×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sin: 52.0ms (90% of total)

adjust: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

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

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

series24.0ms (0.1%)

Memory

-23.5MiB live, 10.6MiB 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))

rewrite386.0ms (2.1%)

Memory

23.4MiB live, 631.0MiB 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)) (+.f64 (.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 (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(+.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 #s(literal 2 binary64)))) (.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 (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.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 #s(literal 2 binary64)))) (.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 #s(literal 2 binary64)))) (.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 (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(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) (+.f64 (*.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) (+.f64 (*.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 (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
(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 #s(literal 2 binary64)))) (.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 (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.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 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))
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(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.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)))) (+.f64 (.f64 (/.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 (.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)))) (+.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))
(/.f64 (.f64 (+.f64 (.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) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 eps (.f64 eps eps)) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 eps (*.f64 eps eps))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 eps eps) (+.f64 (.f64 x x) (.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 eps (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (.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 eps eps) (.f64 x 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 (+.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))
(.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))))
(.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (.f64 x x) (*.f64 eps (-.f64 eps x)))))
(.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.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) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.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 x) (*.f64 eps eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 eps eps))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 x x) (*.f64 eps eps))) (+.f64 x eps))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (-.f64 eps x)) (.f64 (.f64 eps (-.f64 eps x)) (.f64 eps (-.f64 eps x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps (-.f64 eps x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 eps (-.f64 eps x)) (.f64 eps (-.f64 eps x))))) (-.f64 (.f64 x x) (*.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 x x) (*.f64 eps (+.f64 x eps))))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 eps eps) (+.f64 (.f64 x x) (.f64 eps eps))))))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 eps (.f64 eps (.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (+.f64 (.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) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 (+.f64 (.f64 x x) (.f64 eps (-.f64 eps x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 eps (*.f64 eps 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))

simplify413.0ms (2.3%)

Memory

-5.0MiB live, 668.0MiB 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)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 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 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))) (cos.f64 eps))))) 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 (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 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)))
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+.f64 (.f64 x (cos.f64 eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x 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 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)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) (sin.f64 x)))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) (sin.f64 x)) (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 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 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 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)

eval33.0ms (0.2%)

Memory: 12.9MiB live, 50.9MiB allocated
Compiler: Compiled 8 005 to 859 computations (89.3% saved)

prune36.0ms (0.2%)

Memory

-19.4MiB live, 60.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	289	9	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	9	299

Accuracy

100.0%

Counts

299 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
	60.5%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
▶	98.4%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
	99.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	100.0%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
	99.9%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
▶	99.6%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	99.1%	(*.f64 eps (cos.f64 x))
▶	97.6%	(sin.f64 eps)

Compiler

Compiled 294 to 204 computations (30.6% saved)

simplify1.3s (7.1%)

Memory

44.1MiB live, 1 008.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/2 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
✓	cost-diff	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps))
✓	cost-diff	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓	cost-diff	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	cost-diff	(cos.f64 x)
✓	cost-diff	(+.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	cost-diff	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(sin.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
✓	cost-diff	(sin.f64 eps)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))
✓	cost-diff	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
✓	cost-diff	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))

Rules

47 396×	`accelerator-lowering-fma.f32`
47 396×	`accelerator-lowering-fma.f64`
4 896×	`+-lowering-+.f64`
4 896×	`+-lowering-+.f32`
4 342×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	264
1	111	264
2	274	264
3	697	257
4	1447	257
5	2040	257
6	3144	257
7	4126	257
8	5340	257
9	5966	257
10	6524	257
11	6669	257
12	6930	257
13	6932	257
14	7393	257
15	7600	257
16	7669	257
17	7715	257
18	7719	257
19	7719	257
20	7719	257
21	7719	257
22	7738	257
23	7742	257
24	7742	257
25	7742	257
26	7742	257
0	9462	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize285.0ms (1.6%)

Memory

-9.0MiB live, 352.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓	accuracy	99.9%	(*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
✓	accuracy	51.9%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(+.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	accuracy	100.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	accuracy	100.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	62.0%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))

Samples

164.0ms	168×	2	valid
46.0ms	82×	1	valid
5.0ms	4×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 266 to 42 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 60.0ms (38.3% of total)

ival-cos: 33.0ms (21% of total)

adjust: 20.0ms (12.8% of total)

ival-add: 19.0ms (12.1% of total)

...in/eval/compile.rkt:111:19: 10.0ms (6.4% of total)

ival-sin: 9.0ms (5.7% of total)

ival-sub: 4.0ms (2.6% of total)

...in/eval/compile.rkt:110:19: 1.0ms (0.6% of total)

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

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

series33.0ms (0.2%)

Memory

11.8MiB live, 50.2MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#<alt (* eps (+ (* (+ 1 (* eps (* eps -1/6))) (cos x)) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))>
#<alt (+ (* (+ 1 (* eps (* eps -1/6))) (cos x)) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24)))))>
#<alt (* (+ 1 (* eps (* eps -1/6))) (cos x))>
#<alt (+ 1 (* eps (* eps -1/6)))>
#<alt (sin eps)>
#<alt (- (sin (+ x eps)) (* x (- 1 (* 1/6 (* x x)))))>
#<alt (sin (+ x eps))>
#<alt (+ x eps)>
#<alt (* x (- 1 (* 1/6 (* x x))))>
#<alt (* eps (+ (cos x) (* eps (* -1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (* -1/2 (sin x))))>
#<alt (cos x)>
#<alt (* eps (* -1/2 (sin x)))>
#<alt (+ (* (+ 1 (* (* x x) -1/2)) (sin eps)) (* x (+ (cos eps) -1)))>
#<alt (* (+ 1 (* (* x x) -1/2)) (sin eps))>
#<alt (+ 1 (* (* x x) -1/2))>
#<alt (* (* x x) -1/2)>
#<alt (* eps -1/6)>
#<alt (* eps 1/24)>
#<alt (* eps (* eps -1/6))>
#<alt (* eps (* eps 1/24))>
#<alt (* 1/6 (* x x))>
#<alt (+ (cos eps) -1)>
#<alt (* x (+ (cos eps) -1))>

Outputs
#<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 (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))>
#<alt (* 1/24 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))>
#<alt (* 1/24 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
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#<alt 1>
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#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<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)))))>
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#<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)))>
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#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
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#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
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#<alt (sin (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
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#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
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#<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)>
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#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
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#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
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#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<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))>
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#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
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#<alt (* -1/2 (* (pow eps 2) (sin x)))>
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#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) 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 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt 1>
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#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))>
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#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
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#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (cos x)>
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#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (* -1/2 (* eps (sin x)))>
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#<alt (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<alt 1>
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#<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)>
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#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
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#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
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#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))>
#<alt (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
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#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1/2 (* eps (sin x)))>
#<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)))>
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#<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 (sin eps)>
#<alt (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))>
#<alt (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))>
#<alt (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (sin eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* -1/6 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2)))))))))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (sin eps) (+ 1 (* -1/2 (pow x 2))))>
#<alt 1>
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#<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 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 (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 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 (* 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))>

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* eps (+ (cos x) (* eps (* -1/2 (sin x)))))
2.0ms	x	@	-inf	(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (cos x)) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))
2.0ms	x	@	inf	(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (cos x)) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))
1.0ms	eps	@	inf	(+ (* (+ 1 (* (* x x) -1/2)) (sin eps)) (* x (+ (cos eps) -1)))
1.0ms	eps	@	inf	(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (cos x)) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))

rewrite543.0ms (3%)

Memory

18.6MiB live, 765.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 766×	`accelerator-lowering-fma.f32`
5 766×	`accelerator-lowering-fma.f64`
4 836×	`-lowering-.f32`
4 836×	`-lowering-.f64`
3 448×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	195
1	233	195
2	2052	195
0	8814	179

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 567

Calls

Call 1

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

Outputs
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps)))
(+.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (*.f64 eps (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))) (/.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps)))))
(fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 (cos.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) eps) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) eps (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 (.f64 eps (sin.f64 x)) eps) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (cos.f64 x) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(fma.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x))))))
(/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 2 binary64)))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 3 binary64))) eps) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 2 binary64))) eps) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 3 binary64))) eps)) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 2 binary64))) eps)) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
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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 #s(literal 2 binary64) 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 #s(literal 2 binary64) eps)))) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (pow.f64 (.f64 x (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (cos.f64 eps))))))
(*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) x)

simplify525.0ms (2.9%)

Memory

8.0MiB live, 768.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 828×	`accelerator-lowering-fma.f32`
13 828×	`accelerator-lowering-fma.f64`
6 874×	`-lowering-.f32`
6 874×	`-lowering-.f64`
4 256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	4364
1	1432	4197
2	4734	4147
0	8784	3809

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* 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)))))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(cos x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
1
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* -1/6 (pow eps 2)))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
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)))
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)))))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin 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)
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(* -1/2 (* eps (sin x)))
(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)))))
(sin eps)
(+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* -1/2 (* (pow x 2) (sin eps)))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* -1/6 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2)))))))))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(* (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 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))
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/24 (pow eps 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 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)
(* 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))

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (*.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) eps)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 x x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(* 1/24 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))) (/.f64 (cos.f64 x) (.f64 eps (.f64 eps eps)))))
(* 1/24 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(.f64 (+.f64 (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)) eps)) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/24 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps)) eps))))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x)))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
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(cos.f64 x)
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(* -1/6 (* (pow eps 2) (cos x)))
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1
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(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
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eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
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(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)
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(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
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(sin (+ eps x))
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(sin x)
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eps
(+ eps x)
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x
(* x (+ 1 (/ eps x)))
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(* x (+ 1 (/ eps x)))
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(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(+ eps x)
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(+ eps x)
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eps
(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (/ x eps)))
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eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
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(* x (+ 1 (* -1/6 (pow x 2))))
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(* x (+ 1 (* -1/6 (pow x 2))))
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(* -1/6 (pow x 3))
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(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
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(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
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(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
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(* -1/6 (pow x 3))
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(* eps (cos x))
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eps
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(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
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(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
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(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(cos.f64 x)
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(* -1/2 (* eps (sin x)))
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(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
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(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
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(* -1/2 (* eps (sin x)))
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(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
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#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
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(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps x))
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))
(.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
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(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
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(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* -1/2 (* (pow x 2) (sin eps)))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x (sin.f64 eps))))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (+.f64 (/.f64 (cos.f64 eps) x) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (.f64 x x)) (+.f64 (/.f64 (cos.f64 eps) x) (/.f64 #s(literal -1 binary64) x)))))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (+.f64 (/.f64 (sin.f64 eps) (.f64 x x)) (+.f64 (/.f64 (cos.f64 eps) x) (/.f64 #s(literal -1 binary64) x)))))
(* -1/2 (* (pow x 2) (sin eps)))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x (sin.f64 eps))))
(* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (+.f64 (/.f64 (cos.f64 eps) x) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x))) x)))
(* eps (+ 1 (* -1/2 (pow x 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* -1/6 (* eps (+ 1 (* -1/2 (pow x 2))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/24 (* eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (.f64 (.f64 eps eps) (+.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 eps (*.f64 x #s(literal 1/24 binary64)))))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
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(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
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(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
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(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(+ (* x (- (cos eps) 1)) (* (sin eps) (+ 1 (* -1/2 (pow x 2)))))
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(sin eps)
(sin.f64 eps)
(+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
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(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1/2 (* (pow x 2) (sin eps)))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x (sin.f64 eps))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* -1/2 (* (pow x 2) (sin eps)))
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x (sin.f64 eps))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* (pow x 2) (+ (* -1/2 (sin eps)) (/ (sin eps) (pow x 2))))
(.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 x x))))
(* eps (+ 1 (* -1/2 (pow x 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* -1/6 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal 1/120 binary64)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2)))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64)))))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (sin eps) (+ 1 (* -1/2 (pow x 2))))
(.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* -1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.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)))
(* 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 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps x)))
(* (pow eps 2) (+ (* -1/2 x) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) x)) (* 1/24 x)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 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) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (*.f64 eps eps) #s(literal 1/40320 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)))

eval166.0ms (0.9%)

Memory: -22.6MiB live, 260.1MiB allocated
Compiler: Compiled 37 394 to 2 579 computations (93.1% saved)

prune98.0ms (0.5%)

Memory

7.1MiB live, 205.2MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 010	15	1 025
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	1 015	19	1 034

Accuracy

100.0%

Counts

1 034 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
▶	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps)))
	99.6%	(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
	98.5%	(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
	98.2%	(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
	25.5%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))
	99.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	5.8%	(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
▶	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
▶	98.4%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
	98.5%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
	99.9%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
✓	99.6%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	98.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
	98.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
	99.1%	(*.f64 eps (cos.f64 x))
▶	97.6%	eps

Compiler

Compiled 823 to 519 computations (36.9% saved)

simplify893.0ms (4.9%)

Memory

-9.1MiB live, 1 027.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x)))
✓	cost-diff	0	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
✓	cost-diff	0	(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x)))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps)))

Rules

28 948×	`accelerator-lowering-fma.f32`
28 948×	`accelerator-lowering-fma.f64`
7 474×	`+-lowering-+.f64`
7 474×	`+-lowering-+.f32`
6 558×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	648
1	186	648
2	618	646
3	2450	634
4	4962	634
5	5741	634
6	5769	634
7	5769	634
8	6516	634
9	6743	634
10	7029	634
11	7029	634
12	7029	634
0	9784	566

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x))) (* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps)))
(* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x)))
(+ 1 (* -1/6 (* eps eps)))
1
(* -1/6 (* eps eps))
-1/6
(* eps eps)
eps
(* eps (cos x))
(cos x)
x
(* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps))
(* eps (sin x))
(sin x)
(* (+ -1/2 (* eps (* eps 1/24))) eps)
(+ -1/2 (* eps (* eps 1/24)))
-1/2
(* eps (* eps 1/24))
(* eps 1/24)
1/24
eps
(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))
eps
(+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))))
1
(* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))
x
(+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))
(* eps (+ -1/2 (* (* x x) 1/12)))
(+ -1/2 (* (* x x) 1/12))
-1/2
(* (* x x) 1/12)
(* x x)
1/12
(* x -1/2)
(* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
eps
(+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
(+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))))
1
(* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))
(+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))
(* eps -1/6)
-1/6
(* x (+ -1/2 (* eps (* eps 1/24))))
x
(+ -1/2 (* eps (* eps 1/24)))
-1/2
(* eps (* eps 1/24))
(* eps 1/24)
1/24
(* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))
(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
(* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))
(+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))
(* eps 1/12)
1/12
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
(* x x)
(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))
eps
(+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24)))))
(* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24))))))
(+ 1 (* eps (* eps -1/6)))
1
(* eps (* eps -1/6))
(* eps -1/6)
-1/6
(+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))
(* (* x x) (+ -1/2 (* x (* x 1/24))))
(* x x)
x
(+ -1/2 (* x (* x 1/24)))
-1/2
(* x (* x 1/24))
(* x 1/24)
1/24
(* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))
(* eps (sin x))
(sin x)
(+ -1/2 (* eps (* eps 1/24)))
(* eps (* eps 1/24))
(* eps 1/24)

Outputs
(+ (* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x))) (* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps)))
(.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(+ 1 (* -1/6 (* eps eps)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
1
#s(literal 1 binary64)
(* -1/6 (* eps eps))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
-1/6
#s(literal -1/6 binary64)
(* eps eps)
(*.f64 eps eps)
eps
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(cos x)
(cos.f64 x)
x
(* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps (sin.f64 x))))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(sin x)
(sin.f64 x)
(* (+ -1/2 (* eps (* eps 1/24))) eps)
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
(+ -1/2 (* eps (* eps 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))
-1/2
#s(literal -1/2 binary64)
(* eps (* eps 1/24))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* eps 1/24)
(*.f64 eps #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
eps
(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
eps
(+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
x
(+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))
(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))
(* eps (+ -1/2 (* (* x x) 1/12)))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+ -1/2 (* (* x x) 1/12))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
(* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x #s(literal 1/24 binary64)))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))))))
eps
(+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x #s(literal 1/24 binary64)))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))))))
(+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))))
(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 x #s(literal 1/24 binary64))))))))
1
#s(literal 1 binary64)
(* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))
(.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 x #s(literal 1/24 binary64)))))))
(+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))
(+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x #s(literal 1/24 binary64))))))
(* eps -1/6)
(*.f64 #s(literal -1/6 binary64) eps)
-1/6
#s(literal -1/6 binary64)
(* x (+ -1/2 (* eps (* eps 1/24))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
x
(+ -1/2 (* eps (* eps 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))
-1/2
#s(literal -1/2 binary64)
(* eps (* eps 1/24))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* eps 1/24)
(*.f64 eps #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))))
(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
(* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))
(+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(* eps 1/12)
(*.f64 eps #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(* x x)
(*.f64 x x)
(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
eps
(+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
(* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
(+ 1 (* eps (* eps -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
1
#s(literal 1 binary64)
(* eps (* eps -1/6))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* eps -1/6)
(*.f64 #s(literal -1/6 binary64) eps)
-1/6
#s(literal -1/6 binary64)
(+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(* (* x x) (+ -1/2 (* x (* x 1/24))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* x (* x 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(* x (* x 1/24))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(sin x)
(sin.f64 x)
(+ -1/2 (* eps (* eps 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))
(* eps (* eps 1/24))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* eps 1/24)
(*.f64 eps #s(literal 1/24 binary64))

localize257.0ms (1.4%)

Memory

19.8MiB live, 368.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))
✓	accuracy	99.5%	(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/12 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))

Samples

156.0ms	251×	0	valid
4.0ms	3×	3	valid
2.0ms	2×	1	valid

Compiler

Compiled 650 to 56 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 75.0ms (58% of total)

ival-add: 38.0ms (29.4% of total)

...in/eval/compile.rkt:111:19: 10.0ms (7.7% of total)

ival-sin: 3.0ms (2.3% of total)

ival-cos: 2.0ms (1.5% of total)

adjust: 1.0ms (0.8% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series42.0ms (0.2%)

Memory

27.1MiB live, 64.7MiB allocated

Counts

25 → 480

Calls

Call 1

Inputs
#<alt (+ (* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x))) (* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps)))>
#<alt (* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x)))>
#<alt (+ 1 (* -1/6 (* eps eps)))>
#<alt (* -1/6 (* eps eps))>
#<alt (* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))>
#<alt (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))))>
#<alt (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))>
#<alt (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))>
#<alt (* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))>
#<alt (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))>
#<alt (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))))>
#<alt (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))>
#<alt (* eps (+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))>
#<alt (+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24)))))>
#<alt (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24))))))>
#<alt (+ 1 (* eps (* eps -1/6)))>
#<alt (* eps 1/24)>
#<alt (* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps))>
#<alt (* eps (* eps 1/24))>
#<alt (* (* x x) 1/12)>
#<alt (* eps -1/6)>
#<alt (* eps 1/12)>
#<alt (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))>
#<alt (* x 1/24)>
#<alt (* eps (* eps -1/6))>

Outputs
#<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 (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))>
#<alt (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))>
#<alt (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* -1/2 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))))))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))>
#<alt (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 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 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (* -1/2 x)))>
#<alt (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))>
#<alt (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (- (* 1/12 (pow x 2)) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* eps (- (* 1/12 (pow x 2)) 1/2))>
#<alt (* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* -1/2 x))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (pow x 3)))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (* 1/12 (pow x 2)) 1/6))))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* -1/144 (pow x 3)) (* 1/24 x)))) 1/6))))))))>
#<alt (* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/24 x)))>
#<alt (* (pow eps 4) (- (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))>
#<alt (* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))) (* 1/6 (/ 1 eps))))>
#<alt (* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))) (* 1/6 (/ 1 eps))))>
#<alt (* -1 (* (pow eps 4) (+ (* -1/24 x) (* 1/144 (pow x 3)))))>
#<alt (* (pow eps 4) (- (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* 1/12 (/ (pow x 2) eps))) (* 1/6 (/ 1 eps))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/2 (/ x eps)))) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1 (+ (* -1/12 (pow x 3)) (* 1/2 x))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps))) eps))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))>
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#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))>
#<alt (* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* x (+ (* -1/6 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* 1/120 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))))>
#<alt (* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/120 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/24 (pow eps 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* 1/12 x)>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>

Calls

120 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
4.0ms	x	@	inf	(* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
1.0ms	eps	@	0	(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))
1.0ms	eps	@	-inf	(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))
1.0ms	x	@	-inf	(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))

rewrite588.0ms (3.2%)

Memory

-6.9MiB live, 1 128.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 328×	`-lowering-.f32`
6 328×	`-lowering-.f64`
5 086×	`accelerator-lowering-fma.f32`
5 086×	`accelerator-lowering-fma.f64`
2 502×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	381
1	361	381
2	3546	381
0	8625	331

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 884

Calls

Call 1

Inputs
(+ (* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x))) (* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps)))
(* (+ 1 (* -1/6 (* eps eps))) (* eps (cos x)))
(+ 1 (* -1/6 (* eps eps)))
(* -1/6 (* eps eps))
(* eps (+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))))
(+ 1 (* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))))
(* x (+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2)))
(+ (* eps (+ -1/2 (* (* x x) 1/12))) (* x -1/2))
(* eps (+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
(+ (+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))) (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
(+ 1 (* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24)))))))
(* eps (+ (* eps -1/6) (* x (+ -1/2 (* eps (* eps 1/24))))))
(* eps (+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24))))))
(+ (* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24)))))) (* (* eps (sin x)) (+ -1/2 (* eps (* eps 1/24)))))
(* (+ 1 (* eps (* eps -1/6))) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24))))))
(+ 1 (* eps (* eps -1/6)))
(* eps 1/24)
(* (* eps (sin x)) (* (+ -1/2 (* eps (* eps 1/24))) eps))
(* eps (* eps 1/24))
(* (* x x) 1/12)
(* eps -1/6)
(* eps 1/12)
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
(* x 1/24)
(* eps (* eps -1/6))

Outputs
(+.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (/.f64 (pow.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))) #s(literal 2 binary64)) (-.f64 (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))))
(fma.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (cos.f64 x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 (.f64 eps (sin.f64 x)) eps) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (.f64 eps (sin.f64 x))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (sin.f64 x)) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x)) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) eps (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (cos.f64 x) (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (cos.f64 x)) eps (.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(fma.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(fma.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
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(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) eps)) eps #s(literal 1 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/36 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(+.f64 (.f64 eps (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (.f64 eps (.f64 (sin.f64 x) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (.f64 (.f64 (sin.f64 x) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) eps))
(fma.f64 eps (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps (.f64 (sin.f64 x) (.f64 eps (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(fma.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (.f64 (.f64 (sin.f64 x) (.f64 eps (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))) eps))
(.f64 eps (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
(.f64 (sin.f64 x) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(.f64 (.f64 eps (sin.f64 x)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 (*.f64 eps (sin.f64 x)) eps))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (*.f64 eps (sin.f64 x))))
(.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (*.f64 eps (sin.f64 x)))
(.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))) eps)
(.f64 (.f64 (.f64 eps (sin.f64 x)) eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
(.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))) eps) (sin.f64 x))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/24 binary64)) eps)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) eps)
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) #s(literal -1/6 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (.f64 #s(literal -1/6 binary64) x)))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (*.f64 #s(literal -1/6 binary64) x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal 1/13824 binary64) (.f64 eps (.f64 eps eps)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) (-.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) #s(literal -1/6 binary64)))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal -1/6 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal -1/6 binary64) eps))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) eps) eps)
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) eps)) eps)

simplify737.0ms (4.1%)

Memory

-4.5MiB live, 893.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 568×	`accelerator-lowering-fma.f32`
15 568×	`accelerator-lowering-fma.f64`
8 266×	`-lowering-.f32`
8 266×	`-lowering-.f64`
5 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	8365
1	2554	7995
0	9010	7235

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* 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)))))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (cos x))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(* -1/6 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* -1/6 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))))))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
1
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* -1/6 (pow eps 2)))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 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 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)))))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* -1/2 x)))
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* x (- (* 1/12 (pow x 2)) 1/2))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* 1/2 (/ (pow x 2) eps)))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(* eps (- (* 1/12 (pow x 2)) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (* 1/12 (pow x 2)) 1/2))
(* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1 (- (* 1/12 (pow x 2)) 1/2)) (* 1/2 (/ x eps)))))
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (pow x 3)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (* 1/12 (pow x 2)) 1/6))))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* -1/144 (pow x 3)) (* 1/24 x)))) 1/6))))))))
(* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/24 x)))
(* (pow eps 4) (- (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))
(* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))) (* 1/6 (/ 1 eps))))
(* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))) (* 1/6 (/ 1 eps))))
(* -1 (* (pow eps 4) (+ (* -1/24 x) (* 1/144 (pow x 3)))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* 1/12 (/ (pow x 2) eps))) (* 1/6 (/ 1 eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/2 (/ x eps)))) eps))))
(* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1 (+ (* -1/12 (pow x 3)) (* 1/2 x))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps))) eps))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 3)) (+ (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (pow x 3))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* -1/144 (pow x 3)) (* 1/24 x)))) 1/6)))))))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/24 x)))
(* (pow eps 3) (- (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))) (* 1/6 (/ 1 eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/144 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (+ (* -1/12 (pow x 3)) (* 1/2 x))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 (/ (pow eps 2) x)) (+ (/ 1 (pow x 3)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))
(+ 1 (* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6)))))
(* 1/24 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (/ 1 (pow eps 3)))) (* 1/6 (/ 1 eps))))
(* 1/24 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1/2 (/ x eps)) 1/6) eps)) (* -1/24 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/24 x))))
(+ 1 (* -1/6 (pow eps 2)))
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(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))
(* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))
(* x (+ (* -1/6 (/ (pow eps 2) x)) (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (/ 1 x))))
(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
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(* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)))))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* -1/6 eps)))
(* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6))))
(* eps (+ (* -1/2 x) (* eps (- (* 1/24 (* eps x)) 1/6))))
(* 1/24 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/24 x) (* 1/6 (/ 1 eps))))
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(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
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(* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x)))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (+ (* -1/2 (* eps (sin x))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
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(* eps (+ 1 (+ (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* eps (sin x))))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* 1/24 (* (pow eps 4) (sin x)))
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(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (+ (* 1/24 (sin x)) (+ (/ 1 (pow eps 3)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 3)))))))
(* 1/24 (* (pow eps 4) (sin x)))
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(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
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(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* 1/24 (* eps (* (pow x 4) (+ 1 (* -1/6 (pow eps 2))))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
(* 1/24 (* eps (* (pow x 4) (+ 1 (* -1/6 (pow eps 2))))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
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(+ 1 (+ (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* eps (sin x))))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* 1/24 (* (pow eps 3) (sin x)))
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(* 1/24 (* (pow eps 3) (sin x)))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/24 (sin x)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))))))
(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
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(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
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(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (+ (* -1/6 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* -1/6 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+ 1 (+ (* -1/6 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* -1/6 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(* -1/6 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 2)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))
(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow eps 2)))
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(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
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(* -1/2 (* (pow eps 2) (sin x)))
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(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
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(* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))
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(* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* 1/120 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
(* x (+ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/120 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))))
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(* 1/12 eps)
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(* 1/12 x)
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(* 1/24 x)
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(* -1/6 (pow eps 2))
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(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (+.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) eps)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps x))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))) (* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps (.f64 eps (cos.f64 x)))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps (.f64 eps (cos.f64 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (.f64 eps eps)) (neg.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (.f64 eps eps)) (neg.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (.f64 eps eps)) (neg.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (cos.f64 x) (*.f64 eps eps)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* -1/2 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 #s(literal -1/720 binary64) (.f64 eps (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))))))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1/6 binary64))))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* eps (+ 1 (* -1/2 (pow x 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)) (.f64 eps (*.f64 eps x)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(.f64 eps (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) eps) (/.f64 #s(literal 1 binary64) eps)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(.f64 eps (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) eps) (/.f64 #s(literal 1 binary64) eps)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(.f64 eps (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) eps) (/.f64 #s(literal 1 binary64) eps)))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)) (.f64 eps (*.f64 eps x)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
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(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
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(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (pow x 3)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (* 1/12 (pow x 2)) 1/6))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* -1/144 (pow x 3)) (* 1/24 x)))) 1/6))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))))))))
(* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/24 x)))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (*.f64 x #s(literal 1/24 binary64))))
(* (pow eps 4) (- (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)) eps)))
(* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))) (* 1/6 (/ 1 eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 eps eps))) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 x (.f64 x x)) (.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) eps)))))
(* (pow eps 4) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))) (* 1/6 (/ 1 eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 x x) (.f64 eps (.f64 eps eps))))) (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 x (.f64 x x)) (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) eps))))
(* -1 (* (pow eps 4) (+ (* -1/24 x) (* 1/144 (pow x 3)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (*.f64 x #s(literal 1/24 binary64))))
(* (pow eps 4) (- (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* 1/12 (/ (pow x 2) eps))) (* 1/6 (/ 1 eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)) eps)))
(* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/2 (/ x eps)))) eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) eps) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/12 binary64))) eps)) (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))) eps)))
(* (pow eps 4) (+ (* -1 (+ (* -1/24 x) (* 1/144 (pow x 3)))) (* -1 (/ (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1 (+ (* -1/12 (pow x 3)) (* 1/2 x))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps))) eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) eps) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 eps)) (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))) eps)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps x))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(.f64 x (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (/.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))) x)))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(.f64 x (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (/.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) x) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x x))))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 3)) (+ (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 eps (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) x))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x x))))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(.f64 x (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) x)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) x)) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (-.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) x)) x)))))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (+ (* 1/12 (pow x 3)) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* -1/144 (pow x 3)) (* 1/24 x)))) 1/6)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/24 x)))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (*.f64 x #s(literal 1/24 binary64))))
(* (pow eps 3) (- (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/6 (/ 1 eps))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)) eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))) (* 1/6 (/ 1 eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 eps eps))) (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 x (.f64 x x)) (.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) eps)))))
(* (pow eps 3) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/24 x) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))) (* 1/6 (/ 1 eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 (.f64 x x) (.f64 eps (.f64 eps eps))))) (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (.f64 x #s(literal 1/24 binary64))) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 x (.f64 x x)) (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/144 (pow x 3)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/144 binary64))) (*.f64 x #s(literal 1/24 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (-.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (/.f64 (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(.f64 (-.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) eps) (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))) eps)) (neg.f64 (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (+ (* -1/12 (pow x 3)) (* 1/2 x))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (+ (* -1/24 x) (* 1/144 (pow x 3))))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 eps eps) (-.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 eps)))) eps) (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64))) eps)))))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 eps (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)))))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(.f64 #s(literal -1/6 binary64) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 eps (.f64 x (*.f64 x x)))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
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(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
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(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (+ (/ 1 eps) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) eps))) eps)) (* 1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* 1/24 (sin x))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
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(* 1/24 (* eps (* (pow x 4) (+ 1 (* -1/6 (pow eps 2))))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2)))))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
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(* 1/24 (* eps (* (pow x 4) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2)))))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
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(* (pow x 4) (+ (* -1/2 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2))) (+ (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))) (/ (* eps (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))) (pow x 4)))))
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(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(+ 1 (+ (* -1/2 (* eps (sin x))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
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(+ 1 (+ (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
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(+ 1 (+ (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* eps (sin x))))))) (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
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(* 1/24 (* (pow eps 3) (sin x)))
(.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps (sin.f64 x)))))
(* (pow eps 3) (+ (* -1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/24 (sin x))))
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(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/24 (sin x)))))
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(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (+ (* 1/24 (sin x)) (+ (/ 1 (pow eps 3)) (/ (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) (pow eps 3)))))))
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(* 1/24 (* (pow eps 3) (sin x)))
(.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps (sin.f64 x)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/24 (sin x)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/24 (sin x)))))
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(+ 1 (* -1/6 (pow eps 2)))
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(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
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(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2))))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
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(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))))))
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(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal -1/144 binary64) (.f64 eps eps)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* 1/24 (* (pow x 4) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (.f64 #s(literal -1/144 binary64) (.f64 eps eps)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 x x)))))
(* (pow x 4) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow eps 2))) (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 4))) (+ (* 1/24 (+ 1 (* -1/6 (pow eps 2)))) (+ (/ 1 (pow x 4)) (/ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (pow x 4)))))))
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(.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (.f64 eps eps) #s(literal -1/5040 binary64))) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)))))))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* (pow eps 2) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 (sin.f64 x) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps))))
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps))))
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/144 binary64) (*.f64 eps eps))))
(* -1/144 (* (pow eps 2) x))
(.f64 x (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* -1/144 (* (pow eps 2) x))
(.f64 x (.f64 #s(literal -1/144 binary64) (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/144 binary64)) (/.f64 (.f64 x #s(literal 1/12 binary64)) (*.f64 eps eps))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))

eval350.0ms (1.9%)

Memory: 3.4MiB live, 309.6MiB allocated
Compiler: Compiled 105 227 to 4 618 computations (95.6% saved)

prune234.0ms (1.3%)

Memory

25.0MiB live, 222.9MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1 455	13	1 468
Fresh	5	8	13
Picked	2	3	5
Done	0	1	1
Total	1 462	25	1 487

Accuracy

100.0%

Counts

1 487 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	99.3%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
	99.9%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (sin.f64 x)))))
	99.6%	(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
	52.1%	(+.f64 (.f64 (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
	98.2%	(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
	99.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	5.5%	(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
▶	5.8%	(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
	98.5%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
✓	98.4%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
	98.5%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
▶	99.9%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	98.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
✓	99.6%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
✓	98.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
▶	5.2%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
	99.1%	(*.f64 eps (cos.f64 x))
✓	97.6%	eps

Compiler

Compiled 913 to 599 computations (34.4% saved)

simplify512.0ms (2.8%)

Memory

-14.4MiB live, 587.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))))))))
✓	cost-diff	0	(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
✓	cost-diff	128	(+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))

Rules

16 126×	`accelerator-lowering-fma.f32`
16 126×	`accelerator-lowering-fma.f64`
5 774×	`-lowering-.f32`
5 774×	`-lowering-.f64`
2 872×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	517
1	176	503
2	601	501
3	2069	481
4	4499	481
5	5070	481
6	5963	481
7	6671	481
8	7464	481
0	8030	437

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* eps (+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x)))))
eps
(+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x))))
(* (cos x) (+ 1 (* eps (* eps -1/6))))
(cos x)
x
(+ 1 (* eps (* eps -1/6)))
1
(* eps (* eps -1/6))
(* eps -1/6)
-1/6
(* eps (* -1/2 (sin x)))
(* -1/2 (sin x))
-1/2
(sin x)
(* x (* 1/6 (* x x)))
x
(* 1/6 (* x x))
1/6
(* x x)
(* eps (* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x))))
eps
(* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x)))
(* x (* x x))
x
(* x x)
(+ (* eps 1/12) (/ -1/2 x))
(* eps 1/12)
1/12
(/ -1/2 x)
-1/2
(* eps (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
eps
(+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
1
(* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))
(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
-1/2
(* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))
(+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))
(* eps 1/12)
1/12
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
-1/6
(* x (+ -1/2 (* eps (* eps 1/24))))
x
(+ -1/2 (* eps (* eps 1/24)))
(* eps (* eps 1/24))
(* eps 1/24)
1/24
(* x x)
(* eps (+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))))
eps
(+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))))
(cos x)
x
(* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))
(+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))
(* eps -1/2)
-1/2
(* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))
(* x x)
(+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))
(* eps 1/12)
1/12
(* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))
(* eps (* x x))
(+ -1/240 (* (* x x) 1/10080))
-1/240
(* (* x x) 1/10080)
1/10080

Outputs
(* eps (+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x)))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
eps
(+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (cos x) (+ 1 (* eps (* eps -1/6))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))
(cos x)
(cos.f64 x)
x
(+ 1 (* eps (* eps -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* eps (* eps -1/6))
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(* eps -1/6)
(*.f64 eps #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* eps (* -1/2 (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
-1/2
#s(literal -1/2 binary64)
(sin x)
(sin.f64 x)
(* x (* 1/6 (* x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
x
(* 1/6 (* x x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
(* eps (* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x))))
(.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))) eps)))
eps
(* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x)))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64))))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* eps 1/12) (/ -1/2 x))
(+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* eps 1/12)
(*.f64 eps #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(* eps (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/6 binary64)))))))))
eps
(+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/6 binary64))))))))
1
#s(literal 1 binary64)
(* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/6 binary64)))))))
(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/6 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/6 binary64)))))
(+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))
(+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (*.f64 x #s(literal -1/6 binary64))))
(* eps 1/12)
(*.f64 eps #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* x (+ -1/2 (* eps (* eps 1/24))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
x
(+ -1/2 (* eps (* eps 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))
(* eps (* eps 1/24))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* eps 1/24)
(*.f64 eps #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(* eps (+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))))))
eps
(+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))))
(+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))))))
(cos x)
(cos.f64 x)
x
(* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))
(.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))))))))
(+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))))
(* eps -1/2)
(*.f64 eps #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))
(* x x)
(*.f64 x x)
(+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))
(* eps 1/12)
(*.f64 eps #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))
(* eps (* x x))
(.f64 eps (.f64 x x))
(+ -1/240 (* (* x x) 1/10080))
(+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))
-1/240
#s(literal -1/240 binary64)
(* (* x x) 1/10080)
(.f64 (.f64 x x) #s(literal 1/10080 binary64))
1/10080
#s(literal 1/10080 binary64)

localize188.0ms (1%)

Memory

2.6MiB live, 324.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 eps (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/12 binary64))
✓	accuracy	99.6%	(+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
✓	accuracy	99.5%	(.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/12 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/12 binary64))
✓	accuracy	84.7%	(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	accuracy	100.0%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))

Samples

106.0ms

256×

valid

Compiler

Compiled 525 to 53 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 46.0ms (56.8% of total)

...in/eval/compile.rkt:111:19: 17.0ms (21% of total)

ival-add: 12.0ms (14.8% of total)

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

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

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series37.0ms (0.2%)

Memory

0.4MiB live, 77.5MiB allocated

Counts

27 → 540

Calls

Call 1

Inputs
#<alt (* eps (+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x)))))>
#<alt (+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x))))>
#<alt (* (cos x) (+ 1 (* eps (* eps -1/6))))>
#<alt (cos x)>
#<alt (* x (* 1/6 (* x x)))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x)))>
#<alt (* eps (* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x))))>
#<alt (* x (* x x))>
#<alt (* eps (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))>
#<alt (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))>
#<alt (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))>
#<alt (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))>
#<alt (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))>
#<alt (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))>
#<alt (* eps (+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))))>
#<alt (+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))))>
#<alt (* eps -1/6)>
#<alt (* eps (* eps -1/6))>
#<alt (* eps 1/12)>
#<alt (* eps 1/24)>
#<alt (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))>
#<alt (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))>
#<alt (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))>
#<alt (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))>
#<alt (* eps (* x x))>

Outputs
#<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)) (* -1/6 (* eps (cos x)))))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<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 (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 (pow x 2)>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (* eps x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/12 (* eps x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/12 (* eps x)) 1/2))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* eps (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))>
#<alt (* eps (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))>
#<alt (* eps (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3)))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2)))))))))>
#<alt (* -1/144 (* (pow eps 4) (pow x 3)))>
#<alt (* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))>
#<alt (* (pow eps 4) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))>
#<alt (* -1/144 (* (pow eps 4) (pow x 3)))>
#<alt (* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/12 (/ (pow x 3) eps)) (* -1/12 (pow x 2))) eps)) (* -1/144 (pow x 3))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))) eps)) (* -1/12 (pow x 2))) eps)) (* -1/144 (pow x 3))))>
#<alt eps>
#<alt (+ eps (* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))>
#<alt (* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ eps (pow x 3)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ eps (pow x 3)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x))))>
#<alt (* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ eps (pow x 2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ eps (pow x 2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2))))))))>
#<alt (* -1/144 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))>
#<alt (* (pow eps 3) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))>
#<alt (* -1/144 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/12 (/ (pow x 2) eps)) (* 1/144 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/12 (pow x 3))) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))>
#<alt (* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))>
#<alt (* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))>
#<alt (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3)))))>
#<alt (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2)))))))>
#<alt (* -1/144 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))>
#<alt (* (pow eps 3) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2)))))))>
#<alt (* -1/144 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/12 (/ (pow x 2) eps)) (* 1/144 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps))) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))>
#<alt (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt -1/2>
#<alt (- (* 1/12 (* eps x)) 1/2)>
#<alt (- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)>
#<alt (- (* eps (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))) 1/2)>
#<alt (* -1/144 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))>
#<alt (* (pow eps 3) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))>
#<alt (* (pow eps 3) (- (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))) (* 1/2 (/ 1 (pow eps 3)))))>
#<alt (* -1/144 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (- (* 1/144 x) (* 1/12 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* 1/12 (/ x eps))) eps)) (* 1/144 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/144 x))))>
#<alt (- (* 1/12 (pow eps 2)) 1/2)>
#<alt (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)>
#<alt (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)>
#<alt (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)>
#<alt (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))>
#<alt (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))>
#<alt (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))>
#<alt (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))>
#<alt (* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))))>
#<alt (* 1/10080 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))>
#<alt (* 1/10080 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))>
#<alt (* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))>
#<alt (* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))>
#<alt (* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))>
#<alt (* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))>
#<alt (* 1/12 eps)>
#<alt (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps))>
#<alt (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))>
#<alt (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))>
#<alt (* 1/10080 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* 1/10080 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))>
#<alt (* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* -1 (* (pow eps 2) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) 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 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* 1/10080 (* (pow eps 2) (pow x 7)))>
#<alt (* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (* 1/10080 (pow eps 2))))>
#<alt (* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4))))))>
#<alt (* (pow x 7) (+ (* -1/2 (/ (pow eps 2) (pow x 6))) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* 1/10080 (* (pow eps 2) (pow x 7)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (+ (* 1/240 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))>
#<alt (* 1/10080 (* eps (pow x 7)))>
#<alt (* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 7) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))>
#<alt (* 1/10080 (* eps (pow x 7)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/12 (/ eps (pow x 4))) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/12 (/ eps (pow x 4))) (+ (* -1/10080 eps) (+ (* 1/240 (/ eps (pow x 2))) (* 1/2 (/ eps (pow x 6))))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))>
#<alt (* -1 (* eps (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/12 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* 1/12 x)>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))>
#<alt (* 1/12 x)>
#<alt (+ (* 1/12 eps) (* 1/12 x))>
#<alt (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))>
#<alt (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))>
#<alt (* -1/144 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))>
#<alt (* 1/12 eps)>
#<alt (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))>
#<alt (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))>
#<alt (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))>
#<alt (* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))>
#<alt (* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))>
#<alt (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))>
#<alt (* -1/240 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))>
#<alt (* 1/10080 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* 1/10080 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))>
#<alt (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))>
#<alt (* 1/10080 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* 1/10080 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>

Calls

135 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* eps (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
2.0ms	eps	@	0	(+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))
1.0ms	x	@	0	(* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))
1.0ms	eps	@	inf	(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
1.0ms	eps	@	inf	(+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))

rewrite528.0ms (2.9%)

Memory

20.5MiB live, 1 018.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 836×	`accelerator-lowering-fma.f32`
6 836×	`accelerator-lowering-fma.f64`
5 590×	`-lowering-.f32`
5 590×	`-lowering-.f64`
3 496×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	367
1	314	355
2	2922	355
0	9579	315

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 654

Calls

Call 1

Inputs
(* eps (+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x)))))
(+ (* (cos x) (+ 1 (* eps (* eps -1/6)))) (* eps (* -1/2 (sin x))))
(* (cos x) (+ 1 (* eps (* eps -1/6))))
(cos x)
(* x (* 1/6 (* x x)))
(* 1/6 (* x x))
(* x x)
(* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x)))
(* eps (* (* x (* x x)) (+ (* eps 1/12) (/ -1/2 x))))
(* x (* x x))
(* eps (+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))))
(+ 1 (* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x)))
(* (+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))))) (* x x))
(+ -1/2 (* eps (+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))))
(+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))
(+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))
(* eps (+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))))))
(+ (cos x) (* x (+ (* eps -1/2) (* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080))))))))
(* eps -1/6)
(* eps (* eps -1/6))
(* eps 1/12)
(* eps 1/24)
(* -1/6 (* x (+ -1/2 (* eps (* eps 1/24)))))
(+ (* eps 1/12) (* -1/6 (* x (+ -1/2 (* eps (* eps 1/24))))))
(* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))
(* (* x x) (+ (* eps 1/12) (* (* eps (* x x)) (+ -1/240 (* (* x x) 1/10080)))))
(* eps (* x x))

Outputs
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (*.f64 eps (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))))
(fma.f64 eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 eps (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(fma.f64 (cos.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) eps) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) eps (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64))))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))))
(/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) eps) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)))) eps)) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x)))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(.f64 (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))) eps)
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
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(fma.f64 (.f64 (.f64 x x) (.f64 eps (.f64 x x))) (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))) (.f64 eps (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
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(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))))
(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))
(.f64 (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))) (*.f64 x x))
(.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))) x)
(.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))) (.f64 eps (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))
(.f64 (/.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64))))))) (.f64 eps (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) #s(literal 1/10080 binary64)))))))) eps) (/.f64 (.f64 x x) (-.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))
(.f64 (.f64 x x) eps)
(.f64 (.f64 eps x) x)

simplify484.0ms (2.7%)

Memory

-7.3MiB live, 874.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 882×	`accelerator-lowering-fma.f32`
12 882×	`accelerator-lowering-fma.f64`
8 170×	`-lowering-.f32`
8 170×	`-lowering-.f64`
3 564×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	7564
1	1946	7289
2	6947	7269
0	8078	6641

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
(* 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)) (* -1/6 (* eps (cos x)))))))
(* -1/6 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(cos x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
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(* 1/6 (pow x 3))
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(* (pow x 2) (- (* 1/12 (* eps x)) 1/2))
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(* (pow x 2) (- (* 1/12 (* eps x)) 1/2))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
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(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
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(* -1/2 (pow x 2))
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(* 1/12 (* eps (pow x 3)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps)))))
(* -1/2 (* eps (pow x 2)))
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(* eps (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))
(* eps (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (* 1/12 (pow x 3))))
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(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))
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(pow x 3)
(pow x 3)
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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(* eps (+ 1 (* -1/2 (pow x 2))))
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(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2)))))))))
(* -1/144 (* (pow eps 4) (pow x 3)))
(* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))
(* -1/144 (* (pow eps 4) (pow x 3)))
(* (pow eps 4) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/12 (/ (pow x 3) eps)) (* -1/12 (pow x 2))) eps)) (* -1/144 (pow x 3))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))) eps)) (* -1/12 (pow x 2))) eps)) (* -1/144 (pow x 3))))
eps
(+ eps (* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))
(+ eps (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))
(+ eps (* (pow x 2) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ eps (pow x 3)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x))))
(* (pow x 3) (+ (* -1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ eps (pow x 3)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x))))
(* -1/6 (* (pow eps 2) (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ eps (pow x 2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ eps (pow x 2))) x)) (* 1/6 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2))))))))
(* -1/144 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* 1/12 (/ (pow x 3) (pow eps 2))) (/ 1 (pow eps 3)))))))
(* -1/144 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1/12 (/ (pow x 2) eps)) (* 1/144 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* -1/12 (pow x 3))) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))
1
(+ 1 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))
(+ 1 (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))
(+ 1 (* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))
(+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* 1/12 (pow x 3)))))
(+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (pow x 3)) (* eps (+ (* -1/144 (* eps (pow x 3))) (* 1/12 (pow x 2)))))))
(* -1/144 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (* 1/12 (/ (pow x 2) eps))))
(* (pow eps 3) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 3) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* -1/144 (pow x 3)) (+ (* 1/12 (/ (pow x 2) eps)) (* 1/12 (/ (pow x 3) (pow eps 2)))))))
(* -1/144 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1/12 (/ (pow x 2) eps)) (* 1/144 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (pow x 3)) (* 1/2 (/ (pow x 2) eps))) eps)) (* 1/12 (pow x 2))) eps)) (* 1/144 (pow x 3)))))
(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))
(* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))
(* (pow x 2) (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
-1/2
(- (* 1/12 (* eps x)) 1/2)
(- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)
(- (* eps (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))) 1/2)
(* -1/144 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))
(* (pow eps 3) (- (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))) (* 1/2 (/ 1 (pow eps 3)))))
(* -1/144 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (- (* 1/144 x) (* 1/12 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* 1/12 (/ x eps))) eps)) (* 1/144 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/144 x))))
(- (* 1/12 (pow eps 2)) 1/2)
(- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)
(- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)
(- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)
(* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* eps (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))
(* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))
(* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))
(* -1 (* eps (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))))
(* 1/10080 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(* 1/10080 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(* 1/12 eps)
(+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps))
(+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))
(+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))
(* 1/10080 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* 1/10080 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* eps (cos x))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* -1 (* (pow eps 2) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* 1/10080 (* (pow eps 2) (pow x 7)))
(* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (* 1/10080 (pow eps 2))))
(* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4))))))
(* (pow x 7) (+ (* -1/2 (/ (pow eps 2) (pow x 6))) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4)))))))
(* 1/10080 (* (pow eps 2) (pow x 7)))
(* -1 (* (pow x 7) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2))))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (+ (* 1/240 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 6))))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* 1/10080 (* eps (pow x 7)))
(* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 7) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(* 1/10080 (* eps (pow x 7)))
(* -1 (* (pow x 7) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2))))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ eps (pow x 4))) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2)))))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ eps (pow x 4))) (+ (* -1/10080 eps) (+ (* 1/240 (/ eps (pow x 2))) (* 1/2 (/ eps (pow x 6))))))))
(cos x)
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
(* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(* -1 (* eps (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))))))
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* -1/6 (pow eps 2))
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/12 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* 1/12 x)
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(+ (* -1/144 (* (pow eps 2) x)) (* 1/12 x))
(* -1/144 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* -1/144 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ x (pow eps 2)))))
(* 1/12 x)
(+ (* 1/12 eps) (* 1/12 x))
(+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))
(+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))
(* -1/144 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))
(* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))
(* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))
(* -1/144 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))
(* 1/12 eps)
(+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))
(+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))
(+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))
(* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))
(* x (+ (* -1/6 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/12 (/ eps x))))
(* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1/12 (/ eps x)) (* 1/6 (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(* -1/240 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(* 1/10080 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* 1/10080 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))
(* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))
(* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))
(* 1/10080 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* 1/10080 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps)))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(.f64 (+.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps eps))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 #s(literal 1/12 binary64) (+.f64 eps x))))))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
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(* 1/10080 (* eps (pow x 6)))
(.f64 eps (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 eps #s(literal 1/10080 binary64)) (/.f64 (.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(* 1/10080 (* eps (pow x 6)))
(.f64 eps (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 eps #s(literal 1/10080 binary64)) (/.f64 (.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* eps (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(-.f64 #s(literal 0 binary64) (.f64 eps (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(-.f64 #s(literal 0 binary64) (.f64 eps (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(-.f64 #s(literal 0 binary64) (.f64 eps (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))
(* -1 (* eps (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12)))
(-.f64 #s(literal 0 binary64) (.f64 eps (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps))
(+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) #s(literal -1/240 binary64)))
(+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))
(.f64 eps (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))
(+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2))))))
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(* 1/10080 (* eps (pow x 4)))
(.f64 eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* 1/10080 (* eps (pow x 4)))
(.f64 eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))
(.f64 (.f64 x (.f64 eps eps)) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (cos.f64 x) eps) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
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(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (cos.f64 x) eps) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(* -1 (* (pow eps 2) (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))))
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(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (-.f64 (/.f64 (cos.f64 x) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (-.f64 (/.f64 (cos.f64 x) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (-.f64 (/.f64 (cos.f64 x) eps) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps))))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
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(* 1/10080 (* (pow eps 2) (pow x 7)))
(.f64 (.f64 eps eps) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (* 1/10080 (pow eps 2))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (/.f64 (.f64 eps eps) x) x)) (.f64 eps (*.f64 eps #s(literal 1/10080 binary64)))))
(* (pow x 7) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (/.f64 (.f64 eps eps) x) x)) (.f64 eps (.f64 eps #s(literal 1/10080 binary64)))) (/.f64 (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 7) (+ (* -1/2 (/ (pow eps 2) (pow x 6))) (+ (* -1/240 (/ (pow eps 2) (pow x 2))) (+ (* 1/10080 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 4)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 (/.f64 (.f64 eps eps) x) x)) (.f64 eps (.f64 eps #s(literal 1/10080 binary64)))) (/.f64 (.f64 (.f64 eps eps) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) (pow.f64 x #s(literal 6 binary64)))))
(* 1/10080 (* (pow eps 2) (pow x 7)))
(.f64 (.f64 eps eps) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/10080 binary64)))
(* -1 (* (pow x 7) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2))))))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/10080 binary64)) (/.f64 (.f64 #s(literal 1/240 binary64) (.f64 eps eps)) (.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (* 1/240 (/ (pow eps 2) (pow x 2)))))))
(.f64 (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/10080 binary64)) (/.f64 (.f64 #s(literal 1/240 binary64) (.f64 eps eps)) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (+ (* -1/12 (/ (pow eps 2) (pow x 4))) (+ (* -1/10080 (pow eps 2)) (+ (* 1/240 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 6))))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/240 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/10080 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64))))))))
(* 1/10080 (* eps (pow x 7)))
(.f64 eps (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ (* -1/2 (/ eps (pow x 6))) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4)))))))
(.f64 (+.f64 (+.f64 (.f64 eps #s(literal 1/10080 binary64)) (/.f64 (.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/10080 (* eps (pow x 7)))
(.f64 eps (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/10080 binary64)))
(* -1 (* (pow x 7) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (.f64 (+.f64 (.f64 eps #s(literal -1/10080 binary64)) (.f64 (/.f64 eps (*.f64 x x)) #s(literal 1/240 binary64))) #s(literal -1 binary64)))
(* -1 (* (pow x 7) (+ (* -1/12 (/ eps (pow x 4))) (+ (* -1/10080 eps) (* 1/240 (/ eps (pow x 2)))))))
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(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))
(* eps (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))
(* -1/240 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal -1/240 binary64))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))
(* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))
(* 1/10080 (* eps (pow x 4)))
(.f64 eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* 1/10080 (* eps (pow x 4)))
(.f64 eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* 1/12 (* eps (pow x 2)))
(.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))
(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) #s(literal -1/240 binary64))))
(* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* 1/10080 (* eps (pow x 6)))
(.f64 eps (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* 1/10080 (* eps (pow x 6)))
(.f64 eps (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/10080 binary64)))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (* 1/10080 eps)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 6) (+ (* -1/240 (/ eps (pow x 2))) (+ (* 1/10080 eps) (* 1/12 (/ eps (pow x 4))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 x x)) (.f64 eps #s(literal 1/10080 binary64))) (/.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* -1 (* eps (* (pow x 2) (- (* -1 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240))) 1/12))))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 (.f64 x x) (-.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))))))))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))

eval231.0ms (1.3%)

Memory: 21.6MiB live, 446.9MiB allocated
Compiler: Compiled 52 108 to 4 117 computations (92.1% saved)

prune148.0ms (0.8%)

Memory

4.2MiB live, 400.2MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 331	11	1 342
Fresh	3	13	16
Picked	4	1	5
Done	0	4	4
Total	1 338	29	1 367

Accuracy

100.0%

Counts

1 367 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.5%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
	99.9%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
	99.3%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
	99.6%	(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
	52.1%	(+.f64 (.f64 (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
	98.5%	(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
	98.2%	(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
	99.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	5.5%	(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
	98.4%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
	98.2%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
✓	98.4%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
	98.5%	(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
✓	99.9%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
✓	99.6%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	31.4%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
✓	98.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
	98.1%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
	97.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
	5.2%	(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
	5.2%	(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
	99.1%	(*.f64 eps (cos.f64 x))
✓	97.6%	eps

Compiler

Compiled 1 594 to 686 computations (57% saved)

regimes49.0ms (0.3%)

Memory

-2.5MiB live, 117.0MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) eps)))
(+.f64 (.f64 (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) eps)))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (/.f64 #s(literal -1/6 binary64) eps))) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))

Outputs

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

Calls

3 calls:

16.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms	x
12.0ms	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)

regimes76.0ms (0.4%)

Memory

-9.7MiB live, 65.5MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))

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

Calls

3 calls:

36.0ms	x
24.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Memory

-31.6MiB live, 74.0MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 eps)) (.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))

Outputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

Calls

3 calls:

21.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.2%)

Memory

6.0MiB live, 82.0MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))

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

Calls

3 calls:

13.0ms	x
12.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes49.0ms (0.3%)

Memory

0.7MiB live, 83.7MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))

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

Calls

3 calls:

22.0ms	x
13.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.2%)

Memory

-7.9MiB live, 68.7MiB allocated

Counts

37 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (cos.f64 x))) (.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64)))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Outputs

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

Calls

3 calls:

12.0ms	eps
10.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

-5.3MiB live, 35.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))

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

Calls

2 calls:

8.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
99.1%	1	`eps`
99.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps (+.f64 x eps)) x)))
(+.f64 eps (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 eps x))))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 eps (+.f64 (.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 #s(literal 1/12 binary64) (+.f64 eps x)))) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 x #s(literal -1/2 binary64))))))
(+.f64 eps (.f64 x (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 x (.f64 (.f64 eps (*.f64 eps x)) #s(literal 1/12 binary64))))))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (*.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 eps (+.f64 (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))) (.f64 eps (+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 x #s(literal 1/144 binary64)) (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/12 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) eps)) eps)))) (.f64 x x))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 x (.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (.f64 x x))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(sin.f64 eps)

Outputs

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

Calls

2 calls:

8.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-14.1MiB live, 24.1MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

8.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
98.2%	1	`eps`
98.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-17.8MiB live, 20.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
98.2%	1	`eps`
98.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-30.4MiB live, 8.4MiB allocated

Accuracy

Total -59.3b remaining (-3866.6%)

Threshold costs -59.3b (-3866.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

4.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative_binary64`
38×	`+-commutative_binary64`
2×	`+-rgt-identity_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	216
1	147	216

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (9.8%)

Memory

25.8MiB live, 1 333.8MiB allocated

Rules

16 678×	`accelerator-lowering-fma.f32`
16 678×	`accelerator-lowering-fma.f64`
15 568×	`accelerator-lowering-fma.f32`
15 568×	`accelerator-lowering-fma.f64`
13 828×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	4364
1	1432	4197
2	4734	4147
0	8784	3809
0	6	16
1	49	16
2	376	16
3	4763	16
0	8212	16
0	748	8365
1	2554	7995
0	9010	7235
0	40	195
1	233	195
2	2052	195
0	8814	179
0	107	496
1	314	496
2	775	489
3	2836	489
4	6173	489
0	8126	458
0	572	7564
1	1946	7289
2	6947	7269
0	8078	6641

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 383 to 195 computations (49.1% saved)

preprocess348.0ms (1.9%)

Memory: -28.0MiB live, 208.4MiB allocated
Compiler: Compiled 548 to 232 computations (57.7% 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

analyze74.0ms (0.4%)

sample6.1s (33.7%)

preprocess31.0ms (0.2%)

explain243.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize73.0ms (0.4%)

series24.0ms (0.1%)

rewrite386.0ms (2.1%)

simplify413.0ms (2.3%)

eval33.0ms (0.2%)

prune36.0ms (0.2%)

simplify1.3s (7.1%)

localize285.0ms (1.6%)

series33.0ms (0.2%)

rewrite543.0ms (3%)

simplify525.0ms (2.9%)

eval166.0ms (0.9%)

prune98.0ms (0.5%)

simplify893.0ms (4.9%)

localize257.0ms (1.4%)

series42.0ms (0.2%)

rewrite588.0ms (3.2%)

simplify737.0ms (4.1%)

eval350.0ms (1.9%)

prune234.0ms (1.3%)

simplify512.0ms (2.8%)

localize188.0ms (1%)

series37.0ms (0.2%)

rewrite528.0ms (2.9%)

simplify484.0ms (2.7%)

eval231.0ms (1.3%)

prune148.0ms (0.8%)

regimes49.0ms (0.3%)

regimes76.0ms (0.4%)

regimes50.0ms (0.3%)

regimes40.0ms (0.2%)

regimes49.0ms (0.3%)

regimes37.0ms (0.2%)

regimes24.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

simplify10.0ms (0.1%)

soundness1.8s (9.8%)

preprocess348.0ms (1.9%)

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