Metrics for 2cos (problem 3.3.5)

analyze79.0ms (0.4%)

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%	74.7%	0%	0%	0%	3
0%	0%	25.3%	74.7%	0%	0%	0%	4
0%	0%	19%	81%	0%	0%	0%	5
0%	0%	15.8%	84.2%	0%	0%	0%	6
0%	0%	11.1%	88.9%	0%	0%	0%	7
0%	0%	8.7%	91.3%	0%	0%	0%	8
0%	0%	5.9%	94.1%	0%	0%	0%	9
0%	0%	4.5%	95.5%	0%	0%	0%	10
0%	0%	3.1%	96.9%	0%	0%	0%	11
0%	0%	2.7%	97.3%	0%	0%	0%	12

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-cos: 25.0ms (51.3% of total)

...c/correct-round.rkt:119:19: 8.0ms (16.4% of total)

ival-<=: 3.0ms (6.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-mult: 2.0ms (4.1% of total)

ival-fabs: 2.0ms (4.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-and: 2.0ms (4.1% of total)

ival-<: 2.0ms (4.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample9.6s (51.6%)

Results

3.6s	5693×	2	valid
3.4s	25957×	0	precondition
714.0ms	2480×	1	valid
12.0ms	83×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-cos: 2.3s (38.2% of total)

...c/correct-round.rkt:119:19: 855.0ms (14.2% of total)

ival-<: 677.0ms (11.3% of total)

backward-pass: 400.0ms (6.7% of total)

ival-add: 332.0ms (5.5% of total)

ival-mult: 325.0ms (5.4% of total)

ival-sub: 306.0ms (5.1% of total)

ival-fabs: 290.0ms (4.8% of total)

ival-<=: 287.0ms (4.8% of total)

ival-and: 193.0ms (3.2% of total)

const: 47.0ms (0.8% of total)

Bogosity

preprocess51.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

414×	`fnmadd-define`
382×	`sum3-define`
370×	`fmsub-define`
356×	`fnmsub-define`
316×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	50	44
2	96	42
3	186	42
4	442	42
5	867	42
6	1285	42
7	1616	42
8	1754	42
9	1837	42
10	1855	42
0	6	7
1	11	7
2	16	7
3	23	7
4	33	7
5	65	7
6	124	7
7	212	7
8	297	7
9	403	7
10	481	7
11	487	7
0	487	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain299.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
153	1	(-1.2947077938928176e-158 1.3962022354482044e-165)	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	0	-	2	(-14.272645742053475 1.6191536719442073e-12)	`(cos.f64 (+.f64 x eps))`
0	0	-	0	-	`x`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`eps`

Results

230.0ms	338×	2	valid
36.0ms	162×	1	valid
2.0ms	12×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-cos: 106.0ms (65.1% of total)

ival-sub: 25.0ms (15.4% of total)

backward-pass: 22.0ms (13.5% of total)

ival-add: 10.0ms (6.1% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize116.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	46.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

89.0ms	169×	2	valid
16.0ms	81×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-cos: 46.0ms (69.7% of total)

backward-pass: 9.0ms (13.6% of total)

ival-add: 5.0ms (7.6% of total)

ival-sub: 5.0ms (7.6% of total)

const: 0.0ms (0% of total)

series4.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite273.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
2148×	`/-lowering-/.f32`
2148×	`/-lowering-/.f64`
1850×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	52	16
2	419	16
3	5296	16
0	8316	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify177.0ms (1%)

Algorithm

1×	egg-herbie

Rules

3196×	`-lowering-.f32`
3196×	`-lowering-.f64`
1368×	`fnmadd-define`
1248×	`neg-lowering-neg.f64`
1248×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	481
1	311	458
2	784	457
3	2955	457
0	8510	457

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval52.0ms (0.3%)

Compiler: Compiled 6682 to 743 computations (88.9% saved)

prune35.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	243	14	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	15	258

Accuracy

99.7%

Counts

258 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	46.8%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	44.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))))))
▶	44.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	44.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶	44.7%	(-.f64 (cos.f64 eps) (cos.f64 x))
	76.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
▶	44.4%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
	46.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
▶	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.2%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
	98.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	99.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))

Compiler

Compiled 499 to 340 computations (31.9% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
✓	cost-diff	0	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓	cost-diff	6272	(-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))
✓	cost-diff	6400	(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	cost-diff	0	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	128	(+.f64 eps #s(literal 0 binary64))

Rules

3048×	`sum5-define`
1856×	`sum4-define`
1824×	`fma-define`
1646×	`sum3-define`
1590×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	246
1	97	236
2	311	236
3	1531	232
4	3688	228
5	6815	228
0	8014	228

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ eps 0) 2))
(/ (+ eps 0) 2)
(+ eps 0)
eps
0
2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
-2
(+ (cos eps) -1)
(cos eps)
eps
-1
(- (cos (+ x eps)) (+ 1 (* x (* x -1/2))))
(cos (+ x eps))
(+ x eps)
x
eps
(+ 1 (* x (* x -1/2)))
1
(* x (* x -1/2))
(* x -1/2)
-1/2
(- (cos eps) (cos x))
(cos eps)
eps
(cos x)
x
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x)))
eps
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x))))))
(+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))
(* -1/2 (cos x))
-1/2
(cos x)
x
(* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x))))
(+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))
(* eps (* (cos x) 1/24))
(* (cos x) 1/24)
1/24
(* 1/6 (sin x))
1/6
(sin x)

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

localize541.0ms (2.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
✓	accuracy	99.7%	(+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
✓	accuracy	99.4%	(.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	47.4%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	47.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	46.9%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))

Results

361.0ms	168×	2	valid
104.0ms	85×	1	valid
7.0ms	1×	3	valid
1.0ms	2×	0	valid

Compiler

Compiled 271 to 41 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-cos: 114.0ms (40.3% of total)

ival-mult: 49.0ms (17.3% of total)

backward-pass: 46.0ms (16.3% of total)

ival-add: 23.0ms (8.1% of total)

ival-sin: 17.0ms (6% of total)

...c/correct-round.rkt:119:19: 15.0ms (5.3% of total)

ival-sub: 10.0ms (3.5% of total)

ival-div: 8.0ms (2.8% of total)

const: 2.0ms (0.7% of total)

series34.0ms (0.2%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (+ eps 0)>
#<alt (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (sin (/ (+ eps 0) 2))>
#<alt (+ (cos eps) -1)>
#<alt (cos eps)>
#<alt (- (cos (+ x eps)) (+ 1 (* x (* x -1/2))))>
#<alt (cos (+ x eps))>
#<alt (+ x eps)>
#<alt (+ 1 (* x (* x -1/2)))>
#<alt (- (cos eps) (cos x))>
#<alt (cos x)>
#<alt (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))>
#<alt (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x)))>
#<alt (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x))))))>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (* x 2)>
#<alt (* x -1/2)>
#<alt (* x (* x -1/2))>
#<alt (* eps (* (cos x) 1/24))>
#<alt (* 1/6 (sin x))>
#<alt (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))>

Outputs
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
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#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<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 (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 eps)>
#<alt (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))>
#<alt (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))>
#<alt (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* 1/24 (* eps (cos x)))>
#<alt (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))>
#<alt (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))>
#<alt (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))>
#<alt (* 1/24 eps)>
#<alt (+ (* 1/24 eps) (* 1/6 x))>
#<alt (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))>
#<alt (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>
#<alt (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))>

Calls

108 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	eps	@	inf	(+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))
1.0ms	x	@	-inf	(+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))
1.0ms	x	@	inf	(+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))
1.0ms	x	@	inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite370.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
2920×	`/-lowering-/.f32`
2920×	`/-lowering-/.f64`
2486×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	187
1	245	179
2	2635	179
0	10575	179

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 425

Calls

Call 1

Inputs
(+ eps 0)
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ eps 0) 2))
(+ (cos eps) -1)
(cos eps)
(- (cos (+ x eps)) (+ 1 (* x (* x -1/2))))
(cos (+ x eps))
(+ x eps)
(+ 1 (* x (* x -1/2)))
(- (cos eps) (cos x))
(cos x)
(+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))
(- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x))))))
(sin (/ (+ eps (* x 2)) 2))
(* x 2)
(* x -1/2)
(* x (* x -1/2))
(* eps (* (cos x) 1/24))
(* 1/6 (sin x))
(+ (* eps (* (cos x) 1/24)) (* 1/6 (sin x)))

Outputs
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (neg.f64 (/.f64 #s(literal 0 binary64) eps)))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) (neg.f64 (/.f64 #s(literal 0 binary64) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 eps (.f64 eps eps)) (*.f64 eps eps))
(/.f64 (*.f64 eps eps) eps)
(/.f64 (neg.f64 (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (neg.f64 (*.f64 eps eps)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 eps (*.f64 eps eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))))
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))))) #s(literal 1/2 binary64))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (+.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))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.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 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 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 #s(literal 2 binary64) eps)))) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.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)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.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) (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) #s(literal -1 binary64))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(pow.f64 (/.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 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (+.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))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 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 #s(literal 2 binary64) eps)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(.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)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (sin.f64 eps) #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 (/.f64 #s(literal 0 binary64) eps))) (.f64 (sin.f64 eps) (sin.f64 (/.f64 #s(literal 0 binary64) eps))))
(cos.f64 eps)
(-.f64 (.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (sin.f64 eps) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 eps)) (.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(+.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))))) (cos.f64 (+.f64 eps x)))
(+.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (+.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (+.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps eps)) eps) (.f64 eps (.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (.f64 eps eps)))) (.f64 eps eps))
(/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps eps)) (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps eps)) eps) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 eps eps))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 eps (.f64 eps eps)) eps))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (.f64 eps eps)))) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 (.f64 eps (.f64 eps eps)) eps))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (.f64 eps (.f64 eps eps))))) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (.f64 eps eps)))) (.f64 eps eps))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))) eps)
(sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 0 binary64) (.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64) (.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(/.f64 (.f64 eps (.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps))) eps)
(/.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps eps))) (*.f64 eps eps))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))
(.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)))
(.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))
(.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps)
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64)) (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(fma.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps (cos.f64 x)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(fma.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (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)))) #s(literal 1/36 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64))) (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64)) (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)))))))
(.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))

simplify284.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4388×	`-lowering-.f32`
4388×	`-lowering-.f64`
2158×	`+-lowering-+.f64`
2158×	`+-lowering-+.f32`
1762×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	4541
1	1676	4065
2	5619	4048
0	8032	4048

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (pow (sin (* 1/2 eps)) 2))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
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(* 1/6 x)
(* x (+ 1/6 (* -1/36 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(* 1/24 (* eps (cos x)))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* 1/24 (* eps (cos x)))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* 1/24 eps)
(+ (* 1/24 eps) (* 1/6 x))
(+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))
(+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))

Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 x (.f64 x (+.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* 1/2 (* eps (sin x)))
(.f64 (.f64 eps (sin.f64 x)) #s(literal 1/2 binary64))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/12 binary64)) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal -1/48 binary64)))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/6 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 x x)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(* (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 (.f64 eps 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 eps (.f64 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 eps (.f64 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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+.f64 (.f64 (.f64 eps 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)))))) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(+.f64 (cos.f64 eps) (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (*.f64 x #s(literal 1/6 binary64))))) (sin.f64 eps))) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- (+ 1/2 (/ (cos (+ eps x)) (pow x 2))) (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* (pow x 2) (- (+ 1/2 (/ (cos (+ eps x)) (pow x 2))) (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* (pow x 2) (- (+ 1/2 (/ (cos (+ eps x)) (pow x 2))) (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (- (+ 1/2 (/ (cos (- eps (* -1 x))) (pow x 2))) (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
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(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 #s(literal -1/36 binary64) (.f64 x (*.f64 eps eps))))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 eps #s(literal 1/2 binary64))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/8 binary64))))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/48 binary64))) (.f64 (sin.f64 x) #s(literal -1/8 binary64)))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/6 binary64))))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 eps (.f64 (.f64 x x) #s(literal -1/48 binary64))))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps (.f64 #s(literal 1/576 binary64) (*.f64 x x))))))
(+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps (.f64 x x)) #s(literal -1/17280 binary64)) (.f64 eps #s(literal 1/576 binary64)))))))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/36 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/36 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/30240 binary64))))))))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(* 1/6 (sin x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps)))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps)))
(* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps)))
(* 1/24 (* eps (cos x)))
(.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) #s(literal -1/24 binary64)))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) #s(literal -1/24 binary64)))))
(* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(.f64 eps (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) #s(literal -1/24 binary64)))))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(+ (* 1/24 eps) (* 1/6 x))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 x #s(literal 1/6 binary64)))
(+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 eps #s(literal -1/48 binary64))))))
(+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
(+.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/48 binary64)) (*.f64 x #s(literal -1/36 binary64)))))))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))

eval100.0ms (0.5%)

Compiler: Compiled 23879 to 2367 computations (90.1% saved)

prune95.0ms (0.5%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	884	18	902
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	890	27	917

Accuracy

100.0%

Counts

917 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.5%	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	33.5%	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))))
	30.6%	(/.f64 (.f64 (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) (.f64 eps (.f64 eps eps))) (.f64 eps eps))
	78.9%	(/.f64 (.f64 (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) (.f64 eps eps)) eps)
	46.8%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))))))
✓	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	76.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	96.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
	97.0%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
▶	44.3%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	46.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
▶	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.8%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	37.5%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.7%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
	98.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	99.2%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (.f64 eps eps)) (sin.f64 x))))
▶	97.0%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
	96.6%	(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
	99.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	45.6%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
	45.5%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
	45.6%	(.f64 #s(literal -1/2 binary64) (.f64 eps eps))

Compiler

Compiled 1328 to 827 computations (37.7% saved)

simplify235.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64)))))
✓	cost-diff	0	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	cost-diff	384	(-.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Rules

4492×	`+-lowering-+.f64`
4492×	`+-lowering-+.f32`
3284×	`-lowering-.f32`
3284×	`-lowering-.f64`
1688×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	654
1	223	584
2	803	576
3	2567	576
0	8948	576

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
eps
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
1/2
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(* eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))
-1/48
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(+ 1/3840 (* (* eps eps) -1/645120))
1/3840
(* (* eps eps) -1/645120)
-1/645120
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
(+ 1 -1)
1
-1
(* eps (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))))
eps
(+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(* eps (+ -1/2 (* eps (* eps 1/24))))
(+ -1/2 (* eps (* eps 1/24)))
-1/2
(* eps (* eps 1/24))
(* eps 1/24)
1/24
(* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))
x
(+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))
(* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36))))))
(+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))
(* eps (+ 1/4 (* eps (* eps -1/48))))
(+ 1/4 (* eps (* eps -1/48)))
1/4
(* eps (* eps -1/48))
(* eps -1/48)
-1/48
(* x (+ 1/6 (* eps (* eps -1/36))))
(+ 1/6 (* eps (* eps -1/36)))
1/6
(* eps (* eps -1/36))
(* eps -1/36)
-1/36
(+ -1 (* eps (* eps 1/6)))
-1
(* eps (* eps 1/6))
(* eps 1/6)
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))))
eps
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))
1/2
(* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))
(* eps (+ -1/48 (* (* eps eps) 1/3840)))
(+ -1/48 (* (* eps eps) 1/3840))
-1/48
(* (* eps eps) 1/3840)
(* eps eps)
1/3840
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
(/ (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2))))) (+ (cos (+ x eps)) (cos x)))
(- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2)))))
(+ 1/2 (* 1/2 (cos (* (+ x eps) 2))))
1/2
(* 1/2 (cos (* (+ x eps) 2)))
(cos (* (+ x eps) 2))
(* (+ x eps) 2)
(+ x eps)
x
eps
2
(+ 1/2 (* 1/2 (cos (* x 2))))
(* 1/2 (cos (* x 2)))
(cos (* x 2))
(* x 2)
(+ (cos (+ x eps)) (cos x))
(cos (+ x eps))
(cos x)

Outputs
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (.f64 eps #s(literal -2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))
eps
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
1/2
#s(literal 1/2 binary64)
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* eps eps)
(*.f64 eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))
(+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))
-1/48
#s(literal -1/48 binary64)
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
(+ 1/3840 (* (* eps eps) -1/645120))
(+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))
1/3840
#s(literal 1/3840 binary64)
(* (* eps eps) -1/645120)
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
-1/645120
#s(literal -1/645120 binary64)
(sin (/ (+ eps (* x 2)) 2))
(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(+ 1 -1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(* eps (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 x #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
eps
(+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 x #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))))
(* eps (+ -1/2 (* eps (* eps 1/24))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
(+ -1/2 (* eps (* eps 1/24)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* eps (* eps 1/24))
(.f64 (.f64 eps 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 (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 x #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))))
x
(+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 x #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
(* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36))))))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (*.f64 x #s(literal -1/36 binary64)))))))
(+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 x #s(literal -1/36 binary64))))))
(* eps (+ 1/4 (* eps (* eps -1/48))))
(.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))
(+ 1/4 (* eps (* eps -1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))
1/4
#s(literal 1/4 binary64)
(* eps (* eps -1/48))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(* eps -1/48)
(*.f64 eps #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(* x (+ 1/6 (* eps (* eps -1/36))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (*.f64 eps #s(literal -1/36 binary64)))))
(+ 1/6 (* eps (* eps -1/36)))
(+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))
1/6
#s(literal 1/6 binary64)
(* eps (* eps -1/36))
(.f64 eps (.f64 eps #s(literal -1/36 binary64)))
(* eps -1/36)
(*.f64 eps #s(literal -1/36 binary64))
-1/36
#s(literal -1/36 binary64)
(+ -1 (* eps (* eps 1/6)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
-1
#s(literal -1 binary64)
(* eps (* eps 1/6))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* eps 1/6)
(*.f64 eps #s(literal 1/6 binary64))
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))) (.f64 (.f64 eps #s(literal -2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2)))
(.f64 eps (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))
eps
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
1/2
#s(literal 1/2 binary64)
(* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))
(* eps (+ -1/48 (* (* eps eps) 1/3840)))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(+ -1/48 (* (* eps eps) 1/3840))
(+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))
-1/48
#s(literal -1/48 binary64)
(* (* eps eps) 1/3840)
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* eps eps)
(*.f64 eps eps)
1/3840
#s(literal 1/3840 binary64)
(sin (/ (+ eps (* x 2)) 2))
(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(/ (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2))))) (+ (cos (+ x eps)) (cos x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2)))))
(.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* (+ x eps) 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* (+ x eps) 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))
(cos (* (+ x eps) 2))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(* (+ x eps) 2)
(*.f64 #s(literal 2 binary64) (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
2
#s(literal 2 binary64)
(+ 1/2 (* 1/2 (cos (* x 2))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(* 1/2 (cos (* x 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))
(cos (* x 2))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
(+ (cos (+ x eps)) (cos x))
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (+ x eps))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)

localize983.0ms (5.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
✓	accuracy	99.8%	(cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	46.7%	(-.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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.5%	(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/36 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/48 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))

Results

573.0ms	166×	2	valid
229.0ms	81×	1	valid
7.0ms	7×	0	valid
7.0ms	1×	5	exit
4.0ms	1×	3	valid

Compiler

Compiled 736 to 73 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

backward-pass: 116.0ms (27.3% of total)

ival-mult: 114.0ms (26.8% of total)

ival-cos: 69.0ms (16.2% of total)

ival-add: 62.0ms (14.6% of total)

...c/correct-round.rkt:119:19: 43.0ms (10.1% of total)

ival-div: 9.0ms (2.1% of total)

ival-sin: 6.0ms (1.4% of total)

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

const: 3.0ms (0.7% of total)

series56.0ms (0.3%)

Counts

30 → 492

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))>
#<alt (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))>
#<alt (+ 1 -1)>
#<alt (* eps (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))))>
#<alt (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))>
#<alt (* eps (+ -1/2 (* eps (* eps 1/24))))>
#<alt (+ -1/2 (* eps (* eps 1/24)))>
#<alt (* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))))>
#<alt (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))>
#<alt (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2)))))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2))))) (+ (cos (+ x eps)) (cos x)))>
#<alt (+ 1/2 (* 1/2 (cos (* (+ x eps) 2))))>
#<alt (* 1/2 (cos (* (+ x eps) 2)))>
#<alt (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))>
#<alt (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))>
#<alt (* (* eps eps) -1/645120)>
#<alt (* eps -1/48)>
#<alt (* eps 1/24)>
#<alt (* eps 1/6)>
#<alt (* eps -1/36)>
#<alt (* eps (+ -1/48 (* (* eps eps) 1/3840)))>
#<alt (* (* eps eps) 1/3840)>
#<alt (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))>
#<alt (cos (+ x eps))>
#<alt (cos (* (+ x eps) 2))>
#<alt (+ 1/2 (* 1/2 (cos (* x 2))))>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))>
#<alt (* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))>
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#<alt (* (pow eps 5) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/1920 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
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#<alt (* -1 (* (pow eps 5) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/1920 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))>
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#<alt (* 1/2 (* eps (sin x)))>
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#<alt (* 1/3840 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/3840 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/3840 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))>
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#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* 1/3840 (pow eps 3))>
#<alt (* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* 1/3840 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))>
#<alt (* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))>
#<alt (* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* 1/3840 (pow eps 4))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* 1/3840 (pow eps 4))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (* 2 eps))>
#<alt (+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))>
#<alt (+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))>
#<alt (+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (- eps (* -1 x))))>
#<alt (cos (* 2 (- eps (* -1 x))))>
#<alt (cos (* 2 (- eps (* -1 x))))>
#<alt (cos (* 2 (- eps (* -1 x))))>
#<alt (cos (* 2 x))>
#<alt (+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))>
#<alt (+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))>
#<alt (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (+ eps x)))>
#<alt (cos (* 2 (- x (* -1 eps))))>
#<alt (cos (* 2 (- x (* -1 eps))))>
#<alt (cos (* 2 (- x (* -1 eps))))>
#<alt (cos (* 2 (- x (* -1 eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 x))))>

Calls

123 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(* eps (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))))
3.0ms	x	@	0	(/ (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2))))) (+ (cos (+ x eps)) (cos x)))
2.0ms	x	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	eps	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	inf	(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite322.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2804×	`-lowering-.f32`
2804×	`-lowering-.f64`
1678×	`+-lowering-+.f64`
1678×	`+-lowering-+.f32`
1598×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	387
1	468	308
2	4666	308
0	8045	308

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 381

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
(+ 1 -1)
(* eps (+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))))
(+ (* eps (+ -1/2 (* eps (* eps 1/24)))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(* eps (+ -1/2 (* eps (* eps 1/24))))
(+ -1/2 (* eps (* eps 1/24)))
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))))
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) 1/3840)))))
(- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2)))))
(/ (- (+ 1/2 (* 1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* 1/2 (cos (* x 2))))) (+ (cos (+ x eps)) (cos x)))
(+ 1/2 (* 1/2 (cos (* (+ x eps) 2))))
(* 1/2 (cos (* (+ x eps) 2)))
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(* (* eps eps) -1/645120)
(* eps -1/48)
(* eps 1/24)
(* eps 1/6)
(* eps -1/36)
(* eps (+ -1/48 (* (* eps eps) 1/3840)))
(* (* eps eps) 1/3840)
(* eps (* eps (+ -1/48 (* (* eps eps) 1/3840))))
(cos (+ x eps))
(cos (* (+ x eps) 2))
(+ 1/2 (* 1/2 (cos (* x 2))))

Outputs
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) #s(literal -2 binary64)))
(.f64 (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))))
(+.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))))))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) eps)
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) eps) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
(+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 eps #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))))))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))))
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(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal 1/3840 binary64))) (.f64 eps eps)) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps (.f64 eps #s(literal 1/3840 binary64))) (.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 eps (.f64 eps #s(literal 1/3840 binary64))) (-.f64 (.f64 eps (.f64 eps #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))) (+.f64 #s(literal -1/48 binary64) (.f64 #s(literal -1/3840 binary64) (.f64 eps eps))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))
(.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))) eps)
(+.f64 (cos.f64 (+.f64 eps x)) (+.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 (-.f64 x eps)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos.f64 (+.f64 (+.f64 eps x) (+.f64 eps x)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))
(-.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) eps))) (.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) eps))))
(-.f64 (.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (sin.f64 (.f64 eps #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) eps)) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) eps)) (sin.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sin.f64 (.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 x #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(fma.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(fma.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #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 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (cos.f64 (*.f64 x #s(literal 2 binary64))) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 x))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify383.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

6804×	`-lowering-.f32`
6804×	`-lowering-.f64`
5596×	`+-lowering-+.f64`
5596×	`+-lowering-+.f32`
1470×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	858	8614
1	3053	7574
0	9183	7574

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* -1/645120 (pow eps 7))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2))))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))
(* -1 (* (pow eps 4) (- (* 1/48 (pow x 2)) 1/24)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) eps))))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))) eps))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
(* (pow x 3) (+ (* eps (+ 1/6 (* -1/36 (pow eps 2)))) (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)))
(* (pow x 3) (+ (* eps (+ 1/6 (* -1/36 (pow eps 2)))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) (pow x 2)) (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x))))
(* (pow x 3) (+ (* eps (+ 1/6 (* -1/36 (pow eps 2)))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) (pow x 2)) (+ (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3))))))
(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (+ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2))))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
(* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (+ (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3)))))) (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* 1/6 (/ (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1/2 eps)
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(* 1/24 (pow eps 3))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(- (* 1/24 (pow eps 2)) 1/2)
(- (* 1/24 (pow eps 2)) 1/2)
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -1/1920 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 5) (+ (* -1/1920 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 5) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/1920 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 5) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/1920 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* -1/1920 (* (pow eps 5) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 5) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/1920 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 5) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/1920 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))
(* -1 (* (pow eps 5) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/1920 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* 1/3840 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/3840 (sin (* 1/2 (+ eps (* 2 x)))))))
(* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/3840 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/3840 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(* 1/3840 (* (pow eps 5) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 5) (+ (* -1/3840 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))
(* -1 (* (pow eps 5) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/3840 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(* -1 (* (pow eps 5) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/3840 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* 1/3840 (pow eps 5))
(* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(* 1/3840 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(* 1/3840 (pow eps 4))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(* 1/3840 (pow eps 4))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(- (* 1/2 (cos (* 2 eps))) 1/2)
(- (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))) 1/2)
(- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (* -1 (cos (* 2 eps)))))))) 1/2)
(- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))) 1/2)
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))
(* -1 (* eps (sin (* 2 x))))
(* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))
(* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))
(* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))
(- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))
(/ (- (* 1/2 (cos (* 2 eps))) 1/2) (+ 1 (cos eps)))
(- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))
(- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))
(- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (+ (* x (- (* 2/3 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))) (- (* -1/2 (cos eps)) 1/2)) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))
(/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))
(/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))
(/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))
(* -1/2 (/ (* eps (sin (* 2 x))) (cos x)))
(* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))
(* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))
(* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))
(/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))
(/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))
(/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))
(/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))
(+ 1/2 (* 1/2 (cos (* 2 eps))))
(+ 1/2 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))))
(+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps))))))))
(+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps))))))))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x)))))
(+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))
(+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))
(* 1/2 (cos (* 2 eps)))
(+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))
(+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps)))))))
(+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (- eps (* -1 x)))))
(* 1/2 (cos (* 2 (- eps (* -1 x)))))
(* 1/2 (cos (* 2 (- eps (* -1 x)))))
(* 1/2 (cos (* 2 (- eps (* -1 x)))))
(* 1/2 (cos (* 2 x)))
(+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))
(+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x)))))))
(+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (+ eps x))))
(* 1/2 (cos (* 2 (- x (* -1 eps)))))
(* 1/2 (cos (* 2 (- x (* -1 eps)))))
(* 1/2 (cos (* 2 (- x (* -1 eps)))))
(* 1/2 (cos (* 2 (- x (* -1 eps)))))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* 1/3840 (pow eps 2))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 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 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)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/48 eps)
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* 1/3840 (pow eps 3))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* 1/3840 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* 1/3840 (pow eps 2))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* 1/3840 (pow eps 4))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* 1/3840 (pow eps 4))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (* 2 eps))
(+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))
(+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))
(+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (- eps (* -1 x))))
(cos (* 2 (- eps (* -1 x))))
(cos (* 2 (- eps (* -1 x))))
(cos (* 2 (- eps (* -1 x))))
(cos (* 2 x))
(+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (+ eps x)))
(cos (* 2 (- x (* -1 eps))))
(cos (* 2 (- x (* -1 eps))))
(cos (* 2 (- x (* -1 eps))))
(cos (* 2 (- x (* -1 eps))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+ 1/2 (* 1/2 (cos (* 2 x))))

Outputs
(* -1 (* eps (sin x)))
(*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 #s(literal -2 binary64) (.f64 (sin.f64 x) #s(literal -1/12 binary64)))))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x)))))) (sin.f64 x)))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
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(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
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(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
(* -1/645120 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/645120 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 1/645120 binary64) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/48 (pow eps 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(.f64 (.f64 eps x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(* eps (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(* eps (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2))))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 x x))))
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps)))
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (+.f64 (.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) eps) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 eps (.f64 eps eps))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps)) (.f64 #s(literal -1/48 binary64) (.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 4) (- (* 1/48 (pow x 2)) 1/24)))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/48 binary64) (.f64 x x))) #s(literal 1/24 binary64)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/48 binary64) (.f64 x x))) #s(literal 1/24 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) eps) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))) eps)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))) eps))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) eps))) eps) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (.f64 eps eps) x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
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(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
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(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
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(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))
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(+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2))))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))
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(* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))) (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps)) (.f64 eps (.f64 eps eps)))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))
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(* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))
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(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
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(* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))
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(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
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(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
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(* eps (- (* 1/24 (pow eps 2)) 1/2))
(.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
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(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x))))
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(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))) (/ 1 (pow x 2))))
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(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (+ (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3)))))) (/ 1 (pow x 2))))
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(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))))
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(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* 1/6 (/ (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (/ 1 x)) x)))))
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(* 1/24 (pow eps 3))
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(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
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(* 1/24 (pow eps 2))
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(* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))
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(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* 1/3840 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/3840 binary64))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* 1/3840 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/3840 binary64))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/6 binary64)))) (sin.f64 x))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (* 2 eps))
(cos.f64 (*.f64 eps #s(literal 2 binary64)))
(+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))
(+.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 2 binary64)))))
(+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))
(+.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (.f64 x (.f64 #s(literal -2 binary64) (+.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 2 binary64)))) (sin.f64 (.f64 eps #s(literal 2 binary64)))))))
(+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))
(+.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 4/3 binary64) x) (sin.f64 (.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 2 binary64)))))))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- eps (* -1 x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- eps (* -1 x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- eps (* -1 x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- eps (* -1 x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))
(+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) eps) (sin.f64 (.f64 x #s(literal 2 binary64)))))
(+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))
(+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 #s(literal -2 binary64) (+.f64 (.f64 eps (cos.f64 (.f64 x #s(literal 2 binary64)))) (sin.f64 (.f64 x #s(literal 2 binary64)))))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))
(+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 4/3 binary64) eps) (sin.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 x #s(literal 2 binary64)))))))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (+ eps x)))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- x (* -1 eps))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- x (* -1 eps))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- x (* -1 eps))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(cos (* 2 (- x (* -1 eps))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) #s(literal -1 binary64))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* 1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

eval102.0ms (0.5%)

Compiler: Compiled 35545 to 2686 computations (92.4% saved)

prune96.0ms (0.5%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	851	22	873
Fresh	11	9	20
Picked	4	1	5
Done	0	2	2
Total	866	34	900

Accuracy

100.0%

Counts

900 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	46.8%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	76.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
▶	96.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	27.0%	(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) eps))) eps) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
✓	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.8%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.7%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	35.6%	(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
▶	99.4%	(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
▶	96.9%	(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
	96.8%	(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (-.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))) (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))))))))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
	98.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	99.2%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (.f64 eps eps)) (sin.f64 x))))
	96.6%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
	96.9%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
	97.0%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
	97.0%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
	75.2%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
	25.0%	(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
	38.1%	(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
▶	34.6%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
	3.9%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
	3.9%	(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
	75.3%	(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
	45.6%	(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
	45.5%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
	45.6%	(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
▶	44.3%	#s(literal 0 binary64)

Compiler

Compiled 2220 to 1217 computations (45.2% saved)

simplify226.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
✓	cost-diff	5248	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64))
✓	cost-diff	0	(.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))))
✓	cost-diff	0	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (*.f64 x x) #s(literal -1/4 binary64)))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))
✓	cost-diff	256	(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
✓	cost-diff	0	(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))

Rules

4166×	`-lowering-.f32`
4166×	`-lowering-.f64`
2542×	`+-lowering-+.f64`
2542×	`+-lowering-+.f32`
1454×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	975
1	306	888
2	1222	871
3	4995	806
0	8137	806

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))) -2)
(* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))))
eps
(* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))
(sin (+ x (* eps 1/2)))
(+ x (* eps 1/2))
x
(* eps 1/2)
1/2
(+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))
(* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))
(* eps eps)
(+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(+ 1/3840 (* (* eps eps) -1/645120))
1/3840
(* (* eps eps) -1/645120)
-1/645120
-1/48
-2
0
(+ (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* (* eps x) (+ (* (* eps eps) 1/6) -1)))
(* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2))
(* eps eps)
eps
(+ (* 1/24 (* eps eps)) -1/2)
(* 1/24 (* eps eps))
1/24
-1/2
(* (* eps x) (+ (* (* eps eps) 1/6) -1))
(* eps x)
x
(+ (* (* eps eps) 1/6) -1)
(* (* eps eps) 1/6)
1/6
-1
(* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))
eps
(* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps))))
(+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24)
(- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps))
(* 1/48 (* x x))
1/48
(* x x)
x
(/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)
(- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps))
(* x (+ 1/6 (* (* x x) -1/36)))
(+ 1/6 (* (* x x) -1/36))
1/6
(* (* x x) -1/36)
-1/36
(/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)
(+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4))
(- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps)))
1/2
(* x (/ (+ (* 1/6 (* x x)) -1) eps))
(/ (+ (* 1/6 (* x x)) -1) eps)
(+ (* 1/6 (* x x)) -1)
(* 1/6 (* x x))
-1
(* (* x x) -1/4)
-1/4
-1/24
(* -1 (* eps (* eps eps)))
(* eps (* eps eps))
(* eps eps)
(* eps (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
eps
(/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
(- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
(* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))
x
(+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))
(* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36))))))
(+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))
(* eps (+ 1/4 (* eps (* eps -1/48))))
(+ 1/4 (* eps (* eps -1/48)))
1/4
(* eps (* eps -1/48))
(* eps -1/48)
-1/48
(* x (+ 1/6 (* eps (* eps -1/36))))
(+ 1/6 (* eps (* eps -1/36)))
1/6
(* eps (* eps -1/36))
(* eps -1/36)
-1/36
(+ -1 (* eps (* eps 1/6)))
-1
(* eps (* eps 1/6))
(* eps 1/6)
(* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
(* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))
(+ -1/2 (* (* eps eps) 1/24))
-1/2
(* (* eps eps) 1/24)
(* eps eps)
1/24
(* eps (+ -1/2 (* (* eps eps) 1/24)))
(- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))

Outputs
(* (* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))) -2)
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
eps
(* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
(sin (+ x (* eps 1/2)))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(+ x (* eps 1/2))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
x
(* eps 1/2)
(*.f64 eps #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))
(* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))
(* eps eps)
(*.f64 eps eps)
(+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(+ 1/3840 (* (* eps eps) -1/645120))
(+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))
1/3840
#s(literal 1/3840 binary64)
(* (* eps eps) -1/645120)
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
-1/645120
#s(literal -1/645120 binary64)
-1/48
#s(literal -1/48 binary64)
-2
#s(literal -2 binary64)
0
#s(literal 0 binary64)
(+ (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* (* eps x) (+ (* (* eps eps) 1/6) -1)))
(.f64 eps (-.f64 (.f64 eps (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2))
(.f64 eps (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* eps eps)
(*.f64 eps eps)
eps
(+ (* 1/24 (* eps eps)) -1/2)
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (* eps eps))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(* (* eps x) (+ (* (* eps eps) 1/6) -1))
(.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* eps x)
(*.f64 eps x)
x
(+ (* (* eps eps) 1/6) -1)
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* (* eps eps) 1/6)
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
-1
#s(literal -1 binary64)
(* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64))))) (.f64 eps eps)) (.f64 x (-.f64 (.f64 x #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) eps)))) #s(literal -1/24 binary64)) (.f64 eps (.f64 eps (*.f64 eps eps)))))
eps
(* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps))))
(.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64))))) (.f64 eps eps)) (.f64 x (-.f64 (.f64 x #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) eps)))) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24)
(+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64))))) (.f64 eps eps)) (.f64 x (-.f64 (.f64 x #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) eps)))) #s(literal -1/24 binary64))
(- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64))))) (.f64 eps eps)) (.f64 x (-.f64 (.f64 x #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))) eps))))
(* 1/48 (* x x))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
1/48
#s(literal 1/48 binary64)
(* x x)
(*.f64 x x)
x
(/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (*.f64 x #s(literal 1/4 binary64))))) eps)) eps)
(- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps))
(+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (*.f64 x #s(literal 1/4 binary64))))) eps))
(* x (+ 1/6 (* (* x x) -1/36)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(+ 1/6 (* (* x x) -1/36))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/36)
(.f64 (.f64 x x) #s(literal -1/36 binary64))
-1/36
#s(literal -1/36 binary64)
(/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64))))) eps)
(+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4))
(-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal 1/4 binary64)))))
(- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))) eps))
1/2
#s(literal 1/2 binary64)
(* x (/ (+ (* 1/6 (* x x)) -1) eps))
(/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))) eps)
(/ (+ (* 1/6 (* x x)) -1) eps)
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps)
(+ (* 1/6 (* x x)) -1)
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
-1
#s(literal -1 binary64)
(* (* x x) -1/4)
(.f64 (.f64 x x) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/24
#s(literal -1/24 binary64)
(* -1 (* eps (* eps eps)))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps)))
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(* eps (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
(.f64 eps (.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
eps
(/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
(.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
(+.f64 (.f64 x (.f64 (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/24 binary64))))))
(* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(.f64 x (.f64 (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
x
(+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))
(+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36))))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64))))))
(+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))
(* eps (+ 1/4 (* eps (* eps -1/48))))
(.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))
(+ 1/4 (* eps (* eps -1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))
1/4
#s(literal 1/4 binary64)
(* eps (* eps -1/48))
(.f64 (.f64 eps eps) #s(literal -1/48 binary64))
(* eps -1/48)
(*.f64 eps #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(* x (+ 1/6 (* eps (* eps -1/36))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64))))
(+ 1/6 (* eps (* eps -1/36)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))
1/6
#s(literal 1/6 binary64)
(* eps (* eps -1/36))
(.f64 (.f64 eps eps) #s(literal -1/36 binary64))
(* eps -1/36)
(*.f64 eps #s(literal -1/36 binary64))
-1/36
#s(literal -1/36 binary64)
(+ -1 (* eps (* eps 1/6)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* eps (* eps 1/6))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* eps 1/6)
(*.f64 eps #s(literal 1/6 binary64))
(* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
(.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ -1/2 (* (* eps eps) 1/24))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* eps eps) 1/24)
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(* eps eps)
(*.f64 eps eps)
1/24
#s(literal 1/24 binary64)
(* eps (+ -1/2 (* (* eps eps) 1/24)))
(.f64 eps (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 eps eps) #s(literal -1/24 binary64)))))

localize428.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/36 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/48 binary64))
✓	accuracy	62.9%	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))))
✓	accuracy	99.6%	(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (*.f64 x x) #s(literal -1/4 binary64))) eps)
✓	accuracy	99.6%	(.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)) eps))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))
✓	accuracy	38.0%	(.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))))
✓	accuracy	100.0%	(.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
✓	accuracy	99.7%	(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))

Results

251.0ms	249×	0	valid
10.0ms	3×	2	valid
5.0ms	1×	5	exit
5.0ms	1×	3	valid
4.0ms	2×	1	valid

Compiler

Compiled 1323 to 85 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 63.0ms (48.6% of total)

...c/correct-round.rkt:119:19: 27.0ms (20.8% of total)

ival-add: 19.0ms (14.6% of total)

ival-div: 8.0ms (6.2% of total)

ival-sub: 6.0ms (4.6% of total)

backward-pass: 3.0ms (2.3% of total)

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

const: 1.0ms (0.8% of total)

series77.0ms (0.4%)

Counts

27 → 504

Calls

Call 1

Inputs
#<alt (* (* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))) -2)>
#<alt (* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))))>
#<alt (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))>
#<alt (sin (+ x (* eps 1/2)))>
#<alt (+ (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* (* eps x) (+ (* (* eps eps) 1/6) -1)))>
#<alt (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2))>
#<alt (* eps eps)>
#<alt (+ (* 1/24 (* eps eps)) -1/2)>
#<alt (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4))>
#<alt (* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))>
#<alt (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps))))>
#<alt (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24)>
#<alt (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))>
#<alt (* eps (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))))>
#<alt (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))))>
#<alt (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))>
#<alt (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))>
#<alt (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))>
#<alt (* (* eps eps) -1/645120)>
#<alt (* (* eps eps) 1/6)>
#<alt (* 1/24 (* eps eps))>
#<alt (* x (+ 1/6 (* (* x x) -1/36)))>
#<alt (* x (/ (+ (* 1/6 (* x x)) -1) eps))>
#<alt (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)>
#<alt (* eps -1/48)>
#<alt (* eps 1/6)>
#<alt (* eps -1/36)>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/322560 (sin (+ x (* 1/2 eps))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))))))>
#<alt (* (pow eps 7) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 6))) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4)))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (+ (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (/ (sin (- x (* -1/2 eps))) (pow eps 6)))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 7) (sin (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/645120 (sin (- x (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (sin (- x (* -1/2 eps)))) (* 1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 6))) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (sin (- x (* -1/2 eps)))) (* 1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4))))))))>
#<alt (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (+ (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* -1/2 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/6 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* 1/2 (sin x))>
#<alt (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))>
#<alt (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))>
#<alt (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))>
#<alt (* -1/645120 (* (pow eps 6) (sin (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 6) (sin (- x (* -1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (sin (- x (* -1/2 eps)))) (* 1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (- x (* -1/2 eps)))) (* 1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))))))>
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#<alt (* (pow x 2) (+ (* 2 (* eps (* x (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))>
#<alt (* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))>
#<alt (* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* eps (* x (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))>
#<alt (* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))>
#<alt (* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))>
#<alt (* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))))>
#<alt (* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (pow x 3))) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))))))>
#<alt (* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))>
#<alt (* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))>
#<alt (* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))>
#<alt (* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) x)) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))>
#<alt (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2))>
#<alt (+ (* 1/2 (* eps (* (pow x 3) (- (* 1/6 (pow x 2)) 1)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))>
#<alt (+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1)))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))>
#<alt (+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (+ (* eps (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))>
#<alt (* 1/2304 (* (pow eps 6) (pow x 4)))>
#<alt (* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))>
#<alt (* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2))))))>
#<alt (* 1/2304 (* (pow eps 6) (pow x 4)))>
#<alt (* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))>
#<alt (* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))>
#<alt (* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) eps)) (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2)))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (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 (* 1/6 (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 x)>
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))>
#<alt (* -1/36 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))>
#<alt (* -1/36 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (/ x eps))>
#<alt (* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))>
#<alt (* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))>
#<alt (* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))>
#<alt (* 1/6 (/ (pow x 3) eps))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))>
#<alt (* 1/6 (/ (pow x 3) eps))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)>
#<alt (/ 1/2 eps)>
#<alt (+ (* 1/2 (/ 1 eps)) (/ x (pow eps 2)))>
#<alt (+ (* x (+ (* -1/4 (/ x eps)) (/ 1 (pow eps 2)))) (* 1/2 (/ 1 eps)))>
#<alt (+ (* x (+ (* x (- (* -1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))) (/ 1 (pow eps 2)))) (* 1/2 (/ 1 eps)))>
#<alt (* -1/6 (/ (pow x 3) (pow eps 2)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/4 (/ 1 (* eps x))) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* (pow x 3) (- (/ 1 (* (pow eps 2) (pow x 2))) (+ (/ 1/4 (* eps x)) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 (* eps (pow x 3)))) (/ 1 (* (pow eps 2) (pow x 2)))) (+ (/ 1/4 (* eps x)) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* -1/6 (/ (pow x 3) (pow eps 2)))>
#<alt (* -1 (* (pow x 3) (+ (* 1/4 (/ 1 (* eps x))) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps))) x)) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1/2 (* eps (pow x 2))) (/ 1 (* (pow eps 2) x))) (* 1/4 (/ 1 eps))) x)) (* 1/6 (/ 1 (pow eps 2))))))>
#<alt (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))>
#<alt (/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))>
#<alt (/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))>
#<alt (/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))>
#<alt (/ (+ 1/2 (* -1/4 (pow x 2))) eps)>
#<alt (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)>
#<alt (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)>
#<alt (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)>
#<alt (/ (+ 1/2 (* -1/4 (pow x 2))) eps)>
#<alt (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))>
#<alt (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))>
#<alt (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 eps)>
#<alt (* -1/48 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 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>
#<alt (* -1/36 eps)>

Calls

126 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))
7.0ms	x	@	-inf	(* eps (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
4.0ms	eps	@	inf	(* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))
3.0ms	eps	@	inf	(/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
2.0ms	x	@	inf	(/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))

rewrite316.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3896×	`-lowering-.f32`
3896×	`-lowering-.f64`
1966×	`/-lowering-/.f32`
1966×	`/-lowering-/.f64`
1700×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	538
1	629	416
2	6322	416
0	8288	416

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 380

Calls

Call 1

Inputs
(* (* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))) -2)
(* eps (* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48)))))
(* (sin (+ x (* eps 1/2))) (+ 1/2 (* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))))
(sin (+ x (* eps 1/2)))
(+ (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* (* eps x) (+ (* (* eps eps) 1/6) -1)))
(* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2))
(* eps eps)
(+ (* 1/24 (* eps eps)) -1/2)
(+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4))
(* eps (* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps)))))
(* (+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24) (* -1 (* eps (* eps eps))))
(+ (- (* 1/48 (* x x)) (/ (- (* x (+ 1/6 (* (* x x) -1/36))) (/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)) eps)) -1/24)
(/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24)))))
(* eps (/ (- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24)))))) (- (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
(- (* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6)))))) (* eps (* (+ -1/2 (* (* eps eps) 1/24)) (* eps (+ -1/2 (* (* eps eps) 1/24))))))
(* (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))) (* x (+ (* x (+ (* eps (+ 1/4 (* eps (* eps -1/48)))) (* x (+ 1/6 (* eps (* eps -1/36)))))) (+ -1 (* eps (* eps 1/6))))))
(* (* eps eps) (+ (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))) -1/48))
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(* (* eps eps) -1/645120)
(* (* eps eps) 1/6)
(* 1/24 (* eps eps))
(* x (+ 1/6 (* (* x x) -1/36)))
(* x (/ (+ (* 1/6 (* x x)) -1) eps))
(/ (+ (- 1/2 (* x (/ (+ (* 1/6 (* x x)) -1) eps))) (* (* x x) -1/4)) eps)
(* eps -1/48)
(* eps 1/6)
(* eps -1/36)

Outputs
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(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))) (.f64 eps #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))))
(.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))) eps)
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
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(+.f64 (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) eps) (.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) eps))
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(+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))) (-.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
(.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) eps))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 eps (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))) eps)
(.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))
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(+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
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(fma.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))))
(fma.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))))))
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(.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (*.f64 x #s(literal -1/4 binary64))))))
(*.f64 eps #s(literal -1/48 binary64))
(*.f64 #s(literal -1/48 binary64) eps)
(*.f64 eps #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 eps #s(literal -1/36 binary64))
(*.f64 #s(literal -1/36 binary64) eps)

simplify414.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5288×	`-lowering-.f32`
5288×	`-lowering-.f64`
3198×	`+-lowering-+.f64`
3198×	`+-lowering-+.f32`
1538×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1441	15537
1	5455	13655
0	8062	13655

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* 1/322560 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/322560 (sin (+ x (* 1/2 eps))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))))))
(* (pow eps 7) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 6))) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4)))))))
(* 1/322560 (* (pow eps 7) (sin (- x (* -1/2 eps)))))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (+ (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (/ (sin (- x (* -1/2 eps))) (pow eps 6)))))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* -1/645120 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))
(* (pow eps 7) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 7) (sin (- x (* -1/2 eps)))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/645120 (sin (- x (* -1/2 eps)))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (sin (- x (* -1/2 eps)))) (* 1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 6))) (+ (* -1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (sin (- x (* -1/2 eps)))) (* 1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4))))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(+ (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* x (+ (* -1/2 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* x (+ (* x (+ (* -1/2 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/6 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* 1/2 (sin x))
(+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))
(+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))
(+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))
(* -1/645120 (* (pow eps 6) (sin (+ x (* 1/2 eps)))))
(* (pow eps 6) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 6) (sin (- x (* -1/2 eps)))))
(* (pow eps 6) (+ (* -1/645120 (sin (- x (* -1/2 eps)))) (* 1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (- x (* -1/2 eps)))) (* 1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/48 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (- x (* -1/2 eps)))) (+ (* 1/3840 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 6)))))))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(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)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (+ 1/24 (* 1/6 (/ x eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1/6 x) (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 4) (+ 1/24 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x)) eps))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x)))))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* 1/24 (pow eps 4))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(- (* 1/24 (pow eps 2)) 1/2)
(- (* 1/24 (pow eps 2)) 1/2)
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
1/2
(+ 1/2 (/ x eps))
(+ 1/2 (* x (+ (* -1/4 x) (/ 1 eps))))
(+ 1/2 (* x (+ (* x (- (* -1/6 (/ x eps)) 1/4)) (/ 1 eps))))
(* -1/6 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (- (/ 1 (* eps (pow x 2))) (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x)))))
(* (pow x 3) (- (+ (/ 1 (* eps (pow x 2))) (* 1/2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x)))))
(* -1/6 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (+ (* 1/6 (/ 1 eps)) (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* eps x)) 1/4) x)) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1/2 (pow x 2)) (/ 1 (* eps x))) 1/4) x)) (* 1/6 (/ 1 eps)))))
(* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps))
(/ (- (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (- (* 1/6 (pow x 2)) 1))) eps)
(/ (- (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (- (* 1/6 (pow x 2)) 1))) eps)
(/ (- (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (- (* 1/6 (pow x 2)) 1))) eps)
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* eps (* x (+ 1/6 (* -1/36 (pow x 2))))))) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* eps (+ (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* x (- (* 1/6 (pow x 2)) 1))))
(* -1 (* (pow eps 4) (- (* 1/48 (pow x 2)) 1/24)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3))))))
(* -1 (* (pow eps 4) (- (* 1/48 (pow x 2)) 1/24)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (+ (* -1/4 (/ (pow x 2) eps)) (* 1/2 (/ 1 eps)))) eps))))
(* (pow eps 4) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (* -1 (/ (+ (* -1 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))) eps))))
(* -1 (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(+ (* -1 (* (pow eps 4) (* x (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))))) (* -1 (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))))
(+ (* -1 (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))) (* x (+ (* -1 (* (pow eps 4) (* x (- 1/48 (* 1/4 (/ 1 (pow eps 2))))))) (* -1 (* (pow eps 4) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps))))))))
(+ (* -1 (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))) (* x (+ (* -1 (* (pow eps 4) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps))))) (* x (+ (* -1 (* (pow eps 4) (* x (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3))))))) (* -1 (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))))))))
(* -1 (* (pow eps 4) (* (pow x 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))))
(* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (* -1 (/ (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x))))
(* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (+ (* -1 (/ (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x)) (* -1 (/ (* (pow eps 4) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))) (pow x 2))))))
(* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (+ (* -1 (/ (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x)) (+ (* -1 (/ (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)) (pow x 3))) (* -1 (/ (* (pow eps 4) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))) (pow x 2)))))))
(* (pow eps 4) (* (pow x 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (/ (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (* -1 (/ (+ (* -1 (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))) (/ (* (pow eps 4) (- (* 1/6 (/ 1 eps)) (/ 1 (pow eps 3)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 4) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (* -1 (/ (+ (* -1 (* (pow eps 4) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (pow eps 4) (- (* 1/6 (/ 1 eps)) (/ 1 (pow eps 3))))) (/ (* (pow eps 4) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)) x)) x))) x)))))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(+ (* -1 (* (pow eps 3) (* x (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))))) (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))))
(+ (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))) (* x (+ (* -1 (* (pow eps 3) (* x (- 1/48 (* 1/4 (/ 1 (pow eps 2))))))) (* -1 (* (pow eps 3) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps))))))))
(+ (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24))) (* x (+ (* -1 (* (pow eps 3) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps))))) (* x (+ (* -1 (* (pow eps 3) (* x (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3))))))) (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))))))))
(* -1 (* (pow eps 3) (* (pow x 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))))
(* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (* -1 (/ (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x))))
(* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (+ (* -1 (/ (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x)) (* -1 (/ (* (pow eps 3) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))) (pow x 2))))))
(* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (+ (* -1 (/ (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x)) (+ (* -1 (/ (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)) (pow x 3))) (* -1 (/ (* (pow eps 3) (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps)))) (pow x 2)))))))
(* (pow eps 3) (* (pow x 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (/ (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) x))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (* -1 (/ (+ (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))) (/ (* (pow eps 3) (- (* 1/6 (/ 1 eps)) (/ 1 (pow eps 3)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps))))) (* -1 (/ (+ (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2)))))) (* -1 (/ (+ (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 eps)) (/ 1 (pow eps 3))))) (/ (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)) x)) x))) x)))))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* eps (* x (+ 1/6 (* -1/36 (pow x 2))))))) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* eps (+ (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* x (- (* 1/6 (pow x 2)) 1)))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* (pow eps 3) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(* (pow eps 3) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(* (pow eps 3) (+ (* -1 (- (* 1/48 (pow x 2)) 1/24)) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3))))))
(* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))
(- (* 1/2 (/ 1 (pow eps 2))) 1/24)
(- (+ (* 1/2 (/ 1 (pow eps 2))) (* x (- (/ 1 (pow eps 3)) (* 1/6 (/ 1 eps))))) 1/24)
(- (+ (* 1/2 (/ 1 (pow eps 2))) (* x (- (+ (* x (- 1/48 (* 1/4 (/ 1 (pow eps 2))))) (/ 1 (pow eps 3))) (* 1/6 (/ 1 eps))))) 1/24)
(- (+ (* 1/2 (/ 1 (pow eps 2))) (* x (- (+ (* x (- (+ 1/48 (* x (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))) (* 1/4 (/ 1 (pow eps 2))))) (/ 1 (pow eps 3))) (* 1/6 (/ 1 eps))))) 1/24)
(* (pow x 3) (- (* 1/36 (/ 1 eps)) (* 1/6 (/ 1 (pow eps 3)))))
(* (pow x 3) (- (+ (* 1/36 (/ 1 eps)) (* 1/48 (/ 1 x))) (+ (* 1/6 (/ 1 (pow eps 3))) (/ 1/4 (* (pow eps 2) x)))))
(* (pow x 3) (- (+ (* 1/36 (/ 1 eps)) (+ (* 1/48 (/ 1 x)) (/ 1 (* (pow eps 3) (pow x 2))))) (+ (* 1/6 (/ 1 (pow eps 3))) (+ (/ 1/4 (* (pow eps 2) x)) (* 1/6 (/ 1 (* eps (pow x 2))))))))
(* (pow x 3) (- (+ (* 1/36 (/ 1 eps)) (+ (/ 1/2 (* (pow eps 2) (pow x 3))) (+ (* 1/48 (/ 1 x)) (/ 1 (* (pow eps 3) (pow x 2)))))) (+ (* 1/6 (/ 1 (pow eps 3))) (+ (/ 1/4 (* (pow eps 2) x)) (+ (* 1/6 (/ 1 (* eps (pow x 2)))) (* 1/24 (/ 1 (pow x 3))))))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow eps 3))) (* 1/36 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- 1/48 (* 1/4 (/ 1 (pow eps 2)))) x)) (* 1/6 (/ 1 (pow eps 3)))) (* 1/36 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (+ 1/48 (* -1 (/ (- (* 1/6 (/ 1 eps)) (/ 1 (pow eps 3))) x))) (* 1/4 (/ 1 (pow eps 2)))) x)) (* 1/6 (/ 1 (pow eps 3)))) (* 1/36 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (+ 1/48 (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow eps 2))) 1/24) x)) (* 1/6 (/ 1 eps))) (/ 1 (pow eps 3))) x))) (* 1/4 (/ 1 (pow eps 2)))) x)) (* 1/6 (/ 1 (pow eps 3)))) (* 1/36 (/ 1 eps)))))
(* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))
(/ (- (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (- (* 1/6 (pow x 2)) 1))) (pow eps 3))
(/ (- (* eps (+ 1/2 (+ (* -1 (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) (* -1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))) (pow eps 3))
(/ (- (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (* eps (- (* eps (- (* 1/48 (pow x 2)) 1/24)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))) (* x (- (* 1/6 (pow x 2)) 1))) (pow eps 3))
(- (* 1/48 (pow x 2)) 1/24)
(- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)
(- (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/48 (pow x 2)) (/ 1/2 (pow eps 2)))) (+ 1/24 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))
(- (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3))) (* 1/48 (pow x 2))) (+ 1/24 (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))
(- (* 1/48 (pow x 2)) 1/24)
(- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)
(- (+ (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* -1 (* x (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/48 (pow x 2))) 1/24)
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1 (+ 1/2 (* -1/4 (pow x 2))))) eps)) (* -1 (* x (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/48 (pow x 2))) 1/24)
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))) (* -1 (- (* 1/6 (pow eps 2)) 1)))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* x (- (* x (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (* -1 (- (* 1/6 (pow eps 2)) 1)))))
(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 2 (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))
(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 2 (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)) (+ (* 2 (/ (- (* 1/6 (pow eps 2)) 1) (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2)))))))))) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))))
(* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))) (+ (* 2 (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)) (+ (* 2 (/ (- (* 1/6 (pow eps 2)) 1) (pow x 2))) (+ (/ 1 (pow x 2)) (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))))))) (+ (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3))) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (+ 1 (+ (* 2 (- (* 1/6 (pow eps 2)) 1)) (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (+ 1/6 (* -1/36 (pow eps 2)))))) (+ (* 1/6 (pow eps 2)) (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2)))))))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x) (/ (* (- (* 1/6 (pow eps 2)) 1) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))))))))
(* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2)))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))))) (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* (- (* 1/6 (pow eps 2)) 1) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x))) (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* eps (+ 1/4 (* -1/48 (pow eps 2)))))) (* eps (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* x (- (* 1/6 (pow x 2)) 1))
(+ (* eps (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))
(+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (+ (* eps (- (+ 1/24 (/ (* x (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (- (* 1/6 (pow x 2)) 1))) (+ (* -1/48 (pow x 2)) (+ (/ (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (- (* 1/6 (pow x 2)) 1)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1))) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))
(/ (* (pow eps 3) (- (* 1/2304 (pow x 4)) 1/576)) (- (* -1/48 (pow x 2)) 1/24))
(* (pow eps 3) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))))))
(* (pow eps 3) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24))) (+ (* 1/24 (/ 1 (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (* (pow eps 2) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))))))
(* (pow eps 3) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24))) (+ (* 1/24 (/ 1 (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))))))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (+ (* 1/24 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (- (* -1/48 (pow x 2)) 1/24)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (- (* 1/2304 (pow x 4)) 1/576) (- (* 1/6 (pow x 2)) 1))) (* (pow eps 3) (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (* (pow eps 2) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))))))))
(* -1 (/ (* (pow eps 3) (- (* 1/2304 (pow x 4)) 1/576)) (+ 1/24 (* 1/48 (pow x 2)))))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))) eps)) (* 1/2304 (/ (pow x 4) (+ 1/24 (* 1/48 (pow x 2)))))) (* 1/576 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))))))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/24 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (+ 1/24 (* 1/48 (pow x 2))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (+ 1/24 (* 1/48 (pow x 2)))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) eps)) (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2)))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))) eps)) (* 1/2304 (/ (pow x 4) (+ 1/24 (* 1/48 (pow x 2)))))) (* 1/576 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))))))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) (+ 1/24 (* 1/48 (pow x 2)))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (+ (* 1/24 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (+ 1/24 (* 1/48 (pow x 2))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (+ 1/24 (* 1/48 (pow x 2)))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))))) (+ 1/24 (* 1/48 (pow x 2)))) (+ (/ (* x (* (- (* 1/2304 (pow x 4)) 1/576) (- (* 1/6 (pow x 2)) 1))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) (+ 1/24 (* 1/48 (pow x 2))))))) eps)) (+ (* 1/24 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (+ 1/24 (* 1/48 (pow x 2)))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (+ 1/24 (* 1/48 (pow x 2)))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) eps)) (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2)))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))) eps)) (* 1/2304 (/ (pow x 4) (+ 1/24 (* 1/48 (pow x 2)))))) (* 1/576 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (+ (* eps (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
(* eps (+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (+ (* eps (- (+ 1/24 (/ (* x (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (- (* 1/6 (pow x 2)) 1))) (+ (* -1/48 (pow x 2)) (+ (/ (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (- (* 1/6 (pow x 2)) 1)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1))) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
(/ (* (pow eps 4) (- (* 1/2304 (pow x 4)) 1/576)) (- (* -1/48 (pow x 2)) 1/24))
(* (pow eps 4) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))))))
(* (pow eps 4) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24))) (+ (* 1/24 (/ 1 (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (* (pow eps 2) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))))))
(* (pow eps 4) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24))) (+ (* 1/24 (/ 1 (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))))))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (+ (* 1/24 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (- (* -1/48 (pow x 2)) 1/24)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (- (* 1/2304 (pow x 4)) 1/576) (- (* 1/6 (pow x 2)) 1))) (* (pow eps 3) (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (* (pow eps 2) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))))))))
(* -1 (/ (* (pow eps 4) (- (* 1/2304 (pow x 4)) 1/576)) (+ 1/24 (* 1/48 (pow x 2)))))
(* (pow eps 4) (- (+ (* -1 (/ (- (* 1/2304 (pow x 4)) 1/576) (+ 1/24 (* 1/48 (pow x 2))))) (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (+ 1/24 (* 1/48 (pow x 2))))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))))
(* (pow eps 4) (+ (* -1 (/ (- (* 1/2304 (pow x 4)) 1/576) (+ 1/24 (* 1/48 (pow x 2))))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) (+ (/ 1/24 (* eps (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* eps (+ 1/24 (* 1/48 (pow x 2))))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (* eps (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (* eps (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/24 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (+ 1/24 (* 1/48 (pow x 2))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (+ 1/24 (* 1/48 (pow x 2)))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) (* eps (+ 1/24 (* 1/48 (pow x 2)))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (+ (* 1/24 (/ 1 (+ 1/24 (* 1/48 (pow x 2))))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (+ 1/24 (* 1/48 (pow x 2))))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2))))) (+ 1/24 (* 1/48 (pow x 2)))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/2304 (pow x 4)) 1/576)) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))))) (* eps (+ 1/24 (* 1/48 (pow x 2))))) (+ (/ (* x (* (- (* 1/2304 (pow x 4)) 1/576) (- (* 1/6 (pow x 2)) 1))) (* eps (pow (+ 1/24 (* 1/48 (pow x 2))) 2))) (/ (* (- (* -1/4 (pow x 2)) 1/2) (- (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (+ 1/24 (* 1/48 (pow x 2))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))) (* eps (+ 1/24 (* 1/48 (pow x 2)))))))) eps))) eps)) (* -1 (/ (- (* 1/2304 (pow x 4)) 1/576) (+ 1/24 (* 1/48 (pow x 2)))))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (- (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))) (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (- (* x (- (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
(* (pow x 3) (- (+ (* 2 (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)) (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)))
(* (pow x 3) (- (+ (* 2 (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)) (+ (* eps (+ 1/6 (* -1/36 (pow eps 2)))) (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) (pow x 2)) (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)))))
(* (pow x 3) (- (+ (* 2 (/ (* (pow eps 2) (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))) (+ (* 2 (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x)) (+ (* eps (+ 1/6 (* -1/36 (pow eps 2)))) (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2)))))))) (+ (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 3))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2)))) (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2)))))))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) (pow x 2)) (+ (/ (* (- (* 1/6 (pow eps 2)) 1) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))) x))))))))
(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (* 2 (/ (* (pow eps 2) (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))))) (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* (- (* 1/6 (pow eps 2)) 1) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
(* -1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(- (* (pow x 2) (pow (- (* 1/6 (pow eps 2)) 1) 2)) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(- (* (pow x 2) (+ (* 2 (* eps (* x (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))))) (pow (- (* 1/6 (pow eps 2)) 1) 2))) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(- (* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))))) (pow (- (* 1/6 (pow eps 2)) 1) 2))) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (pow x 3))) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) x)) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2))
(+ (* 1/2 (* eps (* (pow x 3) (- (* 1/6 (pow x 2)) 1)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (- (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) 1/4)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (- (+ (* eps (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1)))))) 1/4)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(* (pow eps 6) (- (* 1/2304 (pow x 4)) 1/576))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))) 1/576))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ 1/24 (pow eps 2)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2))))) 1/576))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ 1/24 (pow eps 2)) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2)))))) 1/576))
(* (pow eps 6) (- (* 1/2304 (pow x 4)) 1/576))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))) 1/576))
(* (pow eps 6) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/24 (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2)))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))) 1/576))
(* (pow eps 6) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/24 (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) eps)) (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))) 1/576))
(* (pow x 2) (pow (- (* 1/6 (pow eps 2)) 1) 2))
(* (pow x 2) (+ (* 2 (* eps (* x (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* eps (* x (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (pow x 3))) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) x)) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2))
(+ (* 1/2 (* eps (* (pow x 3) (- (* 1/6 (pow x 2)) 1)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1)))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (+ (* eps (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(* 1/2304 (* (pow eps 6) (pow x 4)))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2))))))
(* 1/2304 (* (pow eps 6) (pow x 4)))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) eps)) (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2)))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* 1/3840 (pow eps 2))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (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))
(* 1/6 (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 x)
(* x (+ 1/6 (* -1/36 (pow x 2))))
(* x (+ 1/6 (* -1/36 (pow x 2))))
(* x (+ 1/6 (* -1/36 (pow x 2))))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))
(* -1/36 (pow x 3))
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ x eps))
(* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))
(* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))
(* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))
(* 1/6 (/ (pow x 3) eps))
(* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))
(* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))
(* (pow x 3) (- (* 1/6 (/ 1 eps)) (/ 1 (* eps (pow x 2)))))
(* 1/6 (/ (pow x 3) eps))
(* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))
(* -1 (* (pow x 3) (- (/ 1 (* eps (pow x 2))) (* 1/6 (/ 1 eps)))))
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ (* x (- (* 1/6 (pow x 2)) 1)) eps)
(/ 1/2 eps)
(+ (* 1/2 (/ 1 eps)) (/ x (pow eps 2)))
(+ (* x (+ (* -1/4 (/ x eps)) (/ 1 (pow eps 2)))) (* 1/2 (/ 1 eps)))
(+ (* x (+ (* x (- (* -1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))) (/ 1 (pow eps 2)))) (* 1/2 (/ 1 eps)))
(* -1/6 (/ (pow x 3) (pow eps 2)))
(* -1 (* (pow x 3) (+ (* 1/4 (/ 1 (* eps x))) (* 1/6 (/ 1 (pow eps 2))))))
(* (pow x 3) (- (/ 1 (* (pow eps 2) (pow x 2))) (+ (/ 1/4 (* eps x)) (* 1/6 (/ 1 (pow eps 2))))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 (* eps (pow x 3)))) (/ 1 (* (pow eps 2) (pow x 2)))) (+ (/ 1/4 (* eps x)) (* 1/6 (/ 1 (pow eps 2))))))
(* -1/6 (/ (pow x 3) (pow eps 2)))
(* -1 (* (pow x 3) (+ (* 1/4 (/ 1 (* eps x))) (* 1/6 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps))) x)) (* 1/6 (/ 1 (pow eps 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (/ 1/2 (* eps (pow x 2))) (/ 1 (* (pow eps 2) x))) (* 1/4 (/ 1 eps))) x)) (* 1/6 (/ 1 (pow eps 2))))))
(* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))
(/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))
(/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))
(/ (+ (* -1 (* x (- (* 1/6 (pow x 2)) 1))) (* eps (+ 1/2 (* -1/4 (pow x 2))))) (pow eps 2))
(/ (+ 1/2 (* -1/4 (pow x 2))) eps)
(/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)
(/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)
(/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)
(/ (+ 1/2 (* -1/4 (pow x 2))) eps)
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))
(* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 eps)
(* -1/48 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 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)
(* -1/36 eps)

Outputs
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (.f64 eps #s(literal 1/24 binary64)) (cos.f64 x)))))) (sin.f64 x)))
(* 1/322560 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))
(.f64 (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/322560 (sin (+ x (* 1/2 eps))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))))))
(* (pow eps 7) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 6))) (+ (* -1/1920 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (+ (* 1/322560 (sin (+ x (* 1/2 eps)))) (* 1/24 (/ (sin (+ x (* 1/2 eps))) (pow eps 4)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 6 binary64)))))
(* 1/322560 (* (pow eps 7) (sin (- x (* -1/2 eps)))))
(.f64 (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (.f64 #s(literal 1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps eps)))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (.f64 #s(literal 1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)))) (.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/322560 (sin (- x (* -1/2 eps)))) (+ (* 1/1920 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (/ (sin (- x (* -1/2 eps))) (pow eps 6)))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) (+.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (+.f64 (.f64 #s(literal 1/1920 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 6 binary64)))))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(.f64 #s(literal -2 binary64) (.f64 eps (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))) (.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) (.f64 eps (.f64 (.f64 x (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) (.f64 x (+.f64 (.f64 (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))) (.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(* 1/2 (* eps (sin x)))
(.f64 (.f64 eps (sin.f64 x)) #s(literal 1/2 binary64))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 1/2 binary64))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 (.f64 eps #s(literal -1/48 binary64)) (cos.f64 x))))))))
(* -1/645120 (* (pow eps 7) (sin (+ x (* 1/2 eps)))))
(.f64 (.f64 (pow.f64 eps #s(literal 7 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -1/645120 binary64))
(* (pow eps 7) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/645120 binary64)) (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal 1/3840 binary64))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (sin (+ x (* 1/2 eps)))) (* 1/3840 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/645120 binary64)) (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal 1/3840 binary64))) (.f64 #s(literal -1/48 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64))))))
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(* eps (* x (- (* 1/6 (pow x 2)) 1)))
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(* eps (+ (* eps (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
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(* eps (+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
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(* eps (+ (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (+ (* eps (- (+ 1/24 (/ (* x (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (- (* 1/6 (pow x 2)) 1))) (+ (* -1/48 (pow x 2)) (+ (/ (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (- (* 1/6 (pow x 2)) 1)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1)) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (* x (- (* 1/6 (pow x 2)) 1))))))) (/ (* x (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) (- (* 1/6 (pow x 2)) 1))) (+ (* 1/4 (/ 1 (* x (- (* 1/6 (pow x 2)) 1)))) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2 (pow x 2)) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1)))))))) (+ 1/2 (* 1/4 (pow x 2))))) (* x (- (* 1/6 (pow x 2)) 1))))
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(/ (* (pow eps 4) (- (* 1/2304 (pow x 4)) 1/576)) (- (* -1/48 (pow x 2)) 1/24))
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(* (pow eps 4) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))))))
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(* (pow eps 4) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (- (* -1/48 (pow x 2)) 1/24)))) (+ (* 1/2304 (/ (pow x 4) (- (* -1/48 (pow x 2)) 1/24))) (+ (* 1/24 (/ 1 (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24)))) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))))))) (+ (* 1/576 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (* (pow eps 2) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (+ (* 1/24 (/ 1 (- (* -1/48 (pow x 2)) 1/24))) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2))))) (- (* -1/48 (pow x 2)) 1/24)) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (+ (/ (* x (* (- (* 1/2304 (pow x 4)) 1/576) (- (* 1/6 (pow x 2)) 1))) (* (pow eps 3) (pow (- (* -1/48 (pow x 2)) 1/24) 2))) (+ (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (- (* -1/48 (pow x 2)) 1/24))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))) (* (pow eps 3) (- (* -1/48 (pow x 2)) 1/24))) (/ (* (+ 1/2 (* 1/4 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576)) (* (pow eps 2) (pow (- (* -1/48 (pow x 2)) 1/24) 2)))))))))))
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(* -1 (/ (* (pow eps 4) (- (* 1/2304 (pow x 4)) 1/576)) (+ 1/24 (* 1/48 (pow x 2)))))
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(* (pow eps 4) (- (+ (* -1 (/ (- (* 1/2304 (pow x 4)) 1/576) (+ 1/24 (* 1/48 (pow x 2))))) (* 1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) (* eps (+ 1/24 (* 1/48 (pow x 2))))))) (/ (* x (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/2304 (pow x 4)) 1/576))) (* eps (pow (+ 1/24 (* 1/48 (pow x 2))) 2)))))
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(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
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(* eps (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2)))))
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(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
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(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
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(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (* -1 (/ (- (* 2 (/ (* (pow eps 2) (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* -1 (/ (* eps (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) (+ 1/6 (* -1/36 (pow eps 2))))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))))) (+ 1/6 (* -1/36 (pow eps 2))))) (/ (* (- (* 1/6 (pow eps 2)) 1) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x))) (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ 1/6 (* -1/36 (pow eps 2))))))) x)) (* 2 (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2))))) x)))))
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(* -1 (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
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(- (* (pow x 2) (pow (- (* 1/6 (pow eps 2)) 1) 2)) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
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(- (* (pow x 2) (+ (* 2 (* eps (* x (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))))) (pow (- (* 1/6 (pow eps 2)) 1) 2))) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 eps x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))))
(- (* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))))) (pow (- (* 1/6 (pow eps 2)) 1) 2))) (* (pow eps 2) (pow (- (* 1/24 (pow eps 2)) 1/2) 2)))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))))) x)))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x x)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (pow x 3))) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x (*.f64 x x))))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))))) x)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x)) x)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) x)) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))) x))) x)) x)))
(* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(+ (* 1/2 (* eps (* (pow x 3) (- (* 1/6 (pow x 2)) 1)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (- (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))) 1/4)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))) #s(literal -1/4 binary64))))))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (- (+ (* eps (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1)))))) 1/4)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))) #s(literal -1/4 binary64)))))))
(* (pow eps 6) (- (* 1/2304 (pow x 4)) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/576 binary64)))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/576 binary64))))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ 1/24 (pow eps 2)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2))))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps) (+.f64 (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (*.f64 eps eps)))) #s(literal -1/576 binary64)))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ 1/24 (pow eps 2)) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2)))))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps) (+.f64 (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (*.f64 eps eps)))) #s(literal -1/576 binary64))))
(* (pow eps 6) (- (* 1/2304 (pow x 4)) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/576 binary64)))
(* (pow eps 6) (- (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/576 binary64))))
(* (pow eps 6) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/24 (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2)))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))) eps)) eps)) #s(literal -1/576 binary64)))
(* (pow eps 6) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/24 (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) eps)) (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))) 1/576))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))) eps)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))) eps)) eps)) #s(literal -1/576 binary64)))
(* (pow x 2) (pow (- (* 1/6 (pow eps 2)) 1) 2))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (+ (* 2 (* eps (* x (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 eps x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))))))))))
(* (pow x 2) (+ (* x (+ (* 2 (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)))) (* x (+ (* 2 (* eps (* x (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))))) (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))))))) (pow (- (* 1/6 (pow eps 2)) 1) 2)))
(.f64 (.f64 x x) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x (+.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 x (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))))))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))))) x)))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x x)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (pow x 3))) (+ (* 2 (/ (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1)) (pow x 2))) (+ (/ (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)) (pow x 2)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (.f64 x x))) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 x (*.f64 x x))))))
(* (pow x 6) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2))
(.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))
(* (pow x 6) (+ (* 2 (/ (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2))))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)))))) x)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))))) x)) x)))
(* (pow x 6) (+ (* -1 (/ (+ (* -2 (* eps (* (+ 1/6 (* -1/36 (pow eps 2))) (+ 1/4 (* -1/48 (pow eps 2)))))) (* -1 (/ (+ (* 2 (* (+ 1/6 (* -1/36 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) (+ (* 2 (/ (* eps (* (+ 1/4 (* -1/48 (pow eps 2))) (- (* 1/6 (pow eps 2)) 1))) x)) (* (pow eps 2) (pow (+ 1/4 (* -1/48 (pow eps 2))) 2)))) x))) x)) (pow (+ 1/6 (* -1/36 (pow eps 2))) 2)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))) x))) x)) x)))
(* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(+ (* 1/2 (* eps (* (pow x 3) (- (* 1/6 (pow x 2)) 1)))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1)))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64))))))))))
(+ (* eps (+ (* 1/2 (* (pow x 3) (- (* 1/6 (pow x 2)) 1))) (* eps (+ (* eps (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2)))))))) (* (pow x 2) (+ (* 1/16 (pow x 2)) (* 2 (* (+ 1/6 (* -1/36 (pow x 2))) (- (* 1/6 (pow x 2)) 1))))))))) (* (pow x 2) (pow (- (* 1/6 (pow x 2)) 1) 2)))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))))))))))
(* 1/2304 (* (pow eps 6) (pow x 4)))
(.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps)))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps)) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (.f64 eps eps))))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (+ (* 1/2304 (pow x 4)) (+ (/ (* (pow x 2) (+ (* -1/24 (* x (- (* 1/6 (pow x 2)) 1))) (* 1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps) (+.f64 (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (.f64 eps eps)))))
(* 1/2304 (* (pow eps 6) (pow x 4)))
(.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow eps 6) (+ (* -1/24 (/ (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/2304 (pow x 4))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))))) eps)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/36 binary64)))))) eps)) eps)))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/24 (* x (- (* 1/6 (pow x 2)) 1))))) eps)) (* (pow x 2) (+ (* -1/96 (pow x 2)) (pow (+ 1/6 (* -1/36 (pow x 2))) 2)))) eps)) (* 1/24 (* (pow x 3) (+ 1/6 (* -1/36 (pow x 2)))))) eps)) (* 1/2304 (pow x 4))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 1/2304 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))))) (/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) eps)) eps)) eps)))
(* -1/48 (pow eps 2))
(.f64 #s(literal -1/48 binary64) (.f64 eps eps))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
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(* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) eps))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) eps)
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 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))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))
(* -1/36 eps)
(*.f64 eps #s(literal -1/36 binary64))

eval164.0ms (0.9%)

Compiler: Compiled 86154 to 3854 computations (95.5% saved)

prune157.0ms (0.8%)

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	1089	23	1112
Fresh	11	15	26
Picked	3	2	5
Done	1	2	3
Total	1104	42	1146

Accuracy

100.0%

Counts

1146 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
	30.2%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
	46.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	96.9%	(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
	46.8%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	76.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	75.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	96.7%	(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
	99.4%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	52.0%	(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
	99.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.8%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.7%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
	3.7%	(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))
	96.7%	(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
	96.5%	(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
	98.7%	(.f64 eps (-.f64 (.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))
	97.0%	(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
	96.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))
	96.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	99.2%	(.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (-.f64 (.f64 (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (.f64 eps eps)) (sin.f64 x))))
	96.9%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
	97.0%	(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
	75.2%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
	25.0%	(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
	32.6%	(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
	22.0%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
✓	34.6%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
	34.3%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
	16.8%	(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
	12.2%	(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
	3.9%	(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
	75.3%	(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
	45.6%	(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
	45.5%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
	45.6%	(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
✓	44.3%	#s(literal 0 binary64)

Compiler

Compiled 3576 to 1247 computations (65.1% saved)

regimes71.0ms (0.4%)

Counts

78 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
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(/.f64 (.f64 (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) (.f64 eps (.f64 eps eps))) (.f64 eps eps))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) #s(literal 2 binary64)) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))))

Outputs

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

Calls

3 calls:

20.0ms	x
18.0ms	eps
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.3%)

Counts

64 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.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 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (-.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))) (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))))))))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))) (.f64 eps (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) eps))) eps) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)) (sin.f64 x)))

Outputs

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

Calls

3 calls:

17.0ms	x
17.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.2%)

Counts

56 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.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 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64))))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))) (-.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))) (.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))))))))

Outputs

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

Calls

2 calls:

15.0ms	eps
14.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.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 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))

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

Calls

2 calls:

14.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

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

Calls

2 calls:

12.0ms	x
12.0ms	eps

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) eps))) (.f64 (.f64 x x) #s(literal -1/4 binary64))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (-.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps)))) x)) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/36 binary64) eps))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x))) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))) (.f64 (.f64 eps eps) (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) (/.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps x)) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))) (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/24 binary64)))

Outputs

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

Calls

2 calls:

12.0ms	eps
11.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.1%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) eps)) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))))))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 (.f64 (.f64 eps (-.f64 (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/36 binary64))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) eps) (.f64 x #s(literal -1/4 binary64))))) eps)) eps))) (-.f64 #s(literal 0 binary64) eps)) (*.f64 eps eps))

Outputs

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

Calls

2 calls:

10.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))

Outputs

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

Calls

2 calls:

10.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.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 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))) x)))
(.f64 eps (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) eps))) #s(literal -1/24 binary64))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (-.f64 (.f64 (.f64 eps x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 eps (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) #s(literal -1/24 binary64)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) eps)) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps)))))
(.f64 eps (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 x x)) (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (/.f64 x (.f64 eps eps)))) eps)) #s(literal -1/24 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps)))))
(.f64 eps (.f64 (-.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/36 binary64) (.f64 eps eps))) (/.f64 (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)) x)) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) eps) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))))) (.f64 eps (*.f64 eps eps))))

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
96.7%	1	`eps`
96.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 eps x))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
75.0%	1	`x`
75.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 #s(literal 1/2 binary64) (.f64 x x))

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
48.1%	2	`x`
45.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
45.6%	1	`eps`
45.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))

Outputs
#s(literal 0 binary64)

Calls

2 calls:

4.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
44.3%	1	`x`
44.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.2548483950682973e-141	-1.7309079339604152e-141

Results

11.0ms	27×	2	valid
3.0ms	21×	1	valid

Compiler

Compiled 62 to 46 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 7.0ms (70.5% of total)

ival-add: 1.0ms (10.1% of total)

ival-sub: 1.0ms (10.1% of total)

backward-pass: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

136×	`*-commutative_binary64`
70×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	318
1	228	318
2	243	318
3	252	318
4	257	318

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(if (<=.f64 x #s(literal -7551277426143671/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
#s(literal 0 binary64)

Outputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))) #s(literal -1/48 binary64)))))))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))))
(.f64 (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.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 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (.f64 x (+.f64 (.f64 x (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))) #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x)))))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64))))))) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps #s(literal -1/36 binary64)))))))))))
(.f64 eps (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps x) (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(if (<=.f64 x #s(literal -7551277426143671/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(if (<=.f64 x #s(literal -7551277426143671/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 0 binary64)

soundness1.9s (10.2%)

Rules

6804×	`-lowering-.f32`
6804×	`-lowering-.f64`
5596×	`+-lowering-+.f64`
5596×	`+-lowering-+.f32`
5288×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1441	15537
1	5455	13655
0	8062	13655
0	105	481
1	311	458
2	784	457
3	2955	457
0	8510	457
0	485	4541
1	1676	4065
2	5619	4048
0	8032	4048
0	6	16
1	52	16
2	419	16
3	5296	16
0	8316	16
0	73	387
1	468	308
2	4666	308
0	8045	308
0	858	8614
1	3053	7574
0	9183	7574

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 608 to 337 computations (44.6% saved)

preprocess80.0ms (0.4%)

Compiler: Compiled 690 to 276 computations (60% saved)

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18

analyze79.0ms (0.4%)

sample9.6s (51.6%)

preprocess51.0ms (0.3%)

explain299.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize116.0ms (0.6%)

series4.0ms (0%)

rewrite273.0ms (1.5%)

simplify177.0ms (1%)

eval52.0ms (0.3%)

prune35.0ms (0.2%)

simplify133.0ms (0.7%)

localize541.0ms (2.9%)

series34.0ms (0.2%)

rewrite370.0ms (2%)

simplify284.0ms (1.5%)

eval100.0ms (0.5%)

prune95.0ms (0.5%)

simplify235.0ms (1.3%)

localize983.0ms (5.3%)

series56.0ms (0.3%)

rewrite322.0ms (1.7%)

simplify383.0ms (2.1%)

eval102.0ms (0.5%)

prune96.0ms (0.5%)

simplify226.0ms (1.2%)

localize428.0ms (2.3%)

series77.0ms (0.4%)

rewrite316.0ms (1.7%)

simplify414.0ms (2.2%)

eval164.0ms (0.9%)

prune157.0ms (0.8%)

regimes71.0ms (0.4%)

regimes60.0ms (0.3%)

regimes39.0ms (0.2%)

regimes38.0ms (0.2%)

regimes35.0ms (0.2%)

regimes30.0ms (0.2%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes16.0ms (0.1%)

regimes26.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

bsearch16.0ms (0.1%)

simplify19.0ms (0.1%)

soundness1.9s (10.2%)

preprocess80.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	11	18
2	16	18
3	23	18
4	33	18
5	65	18
6	124	18
7	212	18
8	297	18
9	403	18
10	481	18
11	487	18
0	487	18