Metrics for 2cos (problem 3.3.5)

analyze62.0ms (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: 34.0ms

...c/correct-round.rkt:119:19: 9.0ms (26.7% of total)

ival-cos: 8.0ms (23.7% of total)

ival-mult: 3.0ms (8.9% of total)

ival-fabs: 3.0ms (8.9% of total)

ival-add: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-and: 2.0ms (5.9% of total)

ival-<=: 2.0ms (5.9% of total)

ival-<: 2.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

sample9.6s (54%)

Results

3.7s	5744×	2	valid
3.4s	26089×	0	precondition
724.0ms	2432×	1	valid
12.0ms	80×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.9s

ival-cos: 2.3s (39.2% of total)

...c/correct-round.rkt:119:19: 1.0s (17.1% of total)

backward-pass: 367.0ms (6.2% of total)

ival-<: 354.0ms (6% of total)

ival-fabs: 353.0ms (6% of total)

ival-sub: 350.0ms (5.9% of total)

ival-mult: 336.0ms (5.7% of total)

ival-add: 332.0ms (5.6% of total)

ival-<=: 268.0ms (4.5% of total)

ival-and: 177.0ms (3% of total)

const: 52.0ms (0.9% of total)

Bogosity

preprocess59.0ms (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))

explain349.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	1	(-744.4128643246596 0.044631265505270544)	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
2	0	-	-	`(cos.f64 (+.f64 x eps))`
0	0	-	-	`x`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`eps`

Results

274.0ms	348×	2	valid
38.0ms	158×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-cos: 149.0ms (77.5% of total)

backward-pass: 25.0ms (13% of total)

ival-add: 10.0ms (5.2% of total)

ival-sub: 8.0ms (4.2% of total)

const: 1.0ms (0.5% 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
▶	54.4%	(-.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)

localize127.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	54.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

95.0ms	174×	2	valid
18.0ms	79×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-cos: 51.0ms (71% of total)

backward-pass: 12.0ms (16.7% of total)

ival-add: 5.0ms (7% of total)

ival-sub: 4.0ms (5.6% 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	eps	@	-inf	(- (cos (+ x eps)) (cos x))
0.0ms	x	@	-inf	(- (cos (+ x eps)) (cos x))

rewrite298.0ms (1.7%)

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)

simplify218.0ms (1.2%)

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)

eval30.0ms (0.2%)

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

prune53.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	246	11	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	12	258

Accuracy

99.8%

Counts

258 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	80.2%	(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	79.0%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
▶	53.2%	(-.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)))))))
	53.4%	(-.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))))))))))
	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	54.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	79.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
▶	52.5%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.7%	(.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))
	98.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))

Compiler

Compiled 327 to 230 computations (29.7% saved)

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

1920×	`sum5-define`
1606×	`fma-define`
1508×	`sum4-define`
1440×	`fma-lowering-fma.f32`
1440×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	175
1	77	164
2	204	163
3	515	163
4	1359	163
5	5838	163
0	8003	163

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

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

localize520.0ms (2.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(*.f64 x (sin.f64 eps))
✓	accuracy	99.8%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
✓	accuracy	55.5%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	54.5%	(-.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)))))))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	55.5%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.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))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.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

355.0ms	173×	2	valid
97.0ms	79×	1	valid
5.0ms	1×	3	valid
2.0ms	3×	0	valid

Compiler

Compiled 197 to 34 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-cos: 86.0ms (35.1% of total)

backward-pass: 44.0ms (17.9% of total)

ival-mult: 39.0ms (15.9% of total)

ival-add: 21.0ms (8.6% of total)

...c/correct-round.rkt:119:19: 20.0ms (8.2% of total)

ival-sin: 14.0ms (5.7% of total)

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

ival-div: 8.0ms (3.3% of total)

const: 3.0ms (1.2% of total)

series24.0ms (0.1%)

Counts

16 → 300

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

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

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	x	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	0	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	inf	(- (cos (+ x eps)) (+ 1 (* (* x x) (+ -1/2 (* x (* x 1/24))))))
1.0ms	eps	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite368.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5258×	`-lowering-.f32`
5258×	`-lowering-.f64`
3036×	`+-lowering-+.f64`
3036×	`+-lowering-+.f32`
2690×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	107
1	207	100
2	1991	99
0	9950	99

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 282

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

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

simplify385.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

4242×	`-lowering-.f32`
4242×	`-lowering-.f64`
3624×	`+-lowering-+.f64`
3624×	`+-lowering-+.f32`
2126×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	337	2684
1	1111	2340
2	3338	2319
3	7947	2307
0	8558	2307

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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 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 #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 (+ (* -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 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 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 (.f64 #s(literal -2 binary64) (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 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (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 (.f64 x x) #s(literal -2 binary64))))
(+ (* -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) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 x (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 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 (.f64 eps (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 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 (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)))))
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(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (+.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (.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))))) (-.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (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 #s(literal 1/24 binary64) (.f64 x x)))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(* eps (- (* -1/2 eps) x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))
(* -1 (* x (sin eps)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* -1 (* x (sin eps)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 eps)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) x) (sin.f64 eps)))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* eps x)
(*.f64 eps x)
(* eps (+ x (* -1/6 (* (pow eps 2) x))))
(.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))))
(* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))
(.f64 eps (+.f64 x (.f64 (.f64 eps (.f64 eps x)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))))))
(* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))
(.f64 eps (+.f64 x (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 eps (.f64 eps x)) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))))))))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/2 binary64)))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 eps (*.f64 eps #s(literal -1/8 binary64))) #s(literal 1 binary64)) (sin.f64 x)))
(+ (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 (.f64 eps (sin.f64 x)) #s(literal -1/8 binary64)) (.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 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 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (sin.f64 (.f64 eps #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 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.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))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))

eval88.0ms (0.5%)

Compiler: Compiled 16741 to 1299 computations (92.2% saved)

prune72.0ms (0.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	709	16	725
Fresh	2	4	6
Picked	4	1	5
Done	0	1	1
Total	715	22	737

Accuracy

99.9%

Counts

737 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	80.2%	(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	79.0%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
	97.6%	(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
✓	54.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶	52.5%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	78.8%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
▶	52.4%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	99.3%	(.f64 (.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 (.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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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))
	99.1%	(.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))
	98.7%	(.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))
▶	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.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))
	98.4%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
	98.4%	(.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))
	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
▶	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
	98.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	97.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	53.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))

Compiler

Compiled 685 to 476 computations (30.5% saved)

simplify209.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4102×	`-lowering-.f32`
4102×	`-lowering-.f64`
1874×	`+-lowering-+.f64`
1874×	`+-lowering-+.f32`
1646×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	279
1	116	255
2	374	252
3	1138	243
4	2843	243
5	5486	243
0	9071	243

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize453.0ms (2.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 eps x))
✓	accuracy	99.9%	(cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
✓	accuracy	99.5%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
✓	accuracy	55.2%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/6 binary64))))) x)
✓	accuracy	99.8%	(.f64 eps (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.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))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.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))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))

Results

341.0ms	245×	1	valid
25.0ms	4×	5	exit
7.0ms	6×	0	valid
3.0ms	1×	3	valid

Compiler

Compiled 320 to 43 computations (86.6% saved)

Precisions

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

ival-mult: 48.0ms (29.8% of total)

backward-pass: 30.0ms (18.6% of total)

...c/correct-round.rkt:119:19: 22.0ms (13.6% of total)

ival-div: 19.0ms (11.8% of total)

ival-add: 15.0ms (9.3% of total)

ival-cos: 10.0ms (6.2% of total)

ival-sin: 10.0ms (6.2% of total)

ival-sub: 5.0ms (3.1% of total)

const: 2.0ms (1.2% of total)

series37.0ms (0.2%)

Counts

22 → 420

Calls

Call 1

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

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)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (pow (sin (* 1/2 eps)) 2)>
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* 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))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
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#<alt (* eps (- (* 1/6 (* eps x)) 1/2))>
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#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* -1/2 eps)>
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#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))>
#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))>
#<alt (* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))>
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#<alt (* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt -1/2>
#<alt (- (* 1/6 (* eps x)) 1/2)>
#<alt (- (* 1/6 (* eps x)) 1/2)>
#<alt (- (* 1/6 (* eps x)) 1/2)>
#<alt (* 1/6 (* eps x))>
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#<alt (* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
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#<alt -1/2>
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#<alt (* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* eps x))>
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))>
#<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>
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#<alt x>
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#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
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#<alt (- (cos eps) 1)>
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#<alt (- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)>
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#<alt (- (cos (* x (+ 1 (/ eps x)))) 1)>
#<alt (- (cos x) 1)>
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)>
#<alt (- (cos (* x (+ 1 (/ eps x)))) 1)>
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#<alt (- (cos (* x (- 1 (* -1 (/ eps x))))) 1)>
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#<alt (- (cos (* x (- 1 (* -1 (/ eps x))))) 1)>
#<alt (- (cos (* x (- 1 (* -1 (/ eps x))))) 1)>
#<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 (* x (+ 1 (/ eps x))))>
#<alt (cos (* x (+ 1 (/ eps x))))>
#<alt (cos (* x (+ 1 (/ eps x))))>
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#<alt (cos (* x (+ 1 (/ eps 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))))>
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#<alt (cos (* x (+ 1 (/ eps x))))>
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#<alt (cos (* x (- 1 (* -1 (/ eps x)))))>
#<alt (cos (* x (- 1 (* -1 (/ eps x)))))>
#<alt (cos (* x (- 1 (* -1 (/ eps x)))))>
#<alt 1>
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#<alt (+ 1 (/ eps x))>
#<alt (+ 1 (/ eps x))>
#<alt (/ eps x)>
#<alt (* eps (+ (/ 1 eps) (/ 1 x)))>
#<alt (* eps (+ (/ 1 eps) (/ 1 x)))>
#<alt (* eps (+ (/ 1 eps) (/ 1 x)))>
#<alt (/ eps x)>
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#<alt (* eps (+ (/ 1 eps) (/ 1 x)))>
#<alt (/ eps x)>
#<alt (/ (+ eps x) x)>
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#<alt (/ (+ eps x) x)>
#<alt 1>
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#<alt (+ 1 (/ eps x))>
#<alt (+ 1 (/ eps x))>
#<alt 1>
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#<alt (+ 1 (/ eps x))>
#<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 (* -1/1920 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))>
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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))))))>
#<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))))))>
#<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))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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))))))))))>
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#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))>
#<alt (* 1/2 (* eps (sin x)))>
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#<alt (* 1/3840 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))>
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#<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))))))>
#<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))))))>
#<alt (* 1/3840 (* (pow eps 5) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* 1/3840 (pow eps 5))>
#<alt (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* 1/3840 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))>
#<alt (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 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 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 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 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos 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 (- (* 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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<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 (* 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))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(* eps (* x 1/6))
3.0ms	x	@	inf	(+ -1/2 (* eps (* x 1/6)))
2.0ms	eps	@	inf	(* (* (sin (/ (/ 1 (/ 1 eps)) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	x	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* eps (* eps 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	eps	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* eps (* eps 1/3840)))))) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite357.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5256×	`-lowering-.f32`
5256×	`-lowering-.f64`
2666×	`+-lowering-+.f64`
2666×	`+-lowering-+.f32`
2624×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	201
1	242	183
2	2257	171
0	9463	171

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 440

Calls

Call 1

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

Outputs
eps
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 eps #s(literal 1 binary64))
(/.f64 x (/.f64 x eps))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64))
(/.f64 (*.f64 eps x) x)
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) (-.f64 #s(literal 0 binary64) x))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 eps #s(literal 1 binary64))
(*.f64 x (/.f64 eps x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) eps))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)))
(*.f64 (/.f64 eps x) x)
(.f64 (.f64 eps x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.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))))
#s(literal 0 binary64)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (*.f64 eps (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(fma.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) eps (.f64 (-.f64 #s(literal 0 binary64) x) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x))) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
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(/.f64 (+.f64 (.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/56623104000 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/48 binary64))) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))) (.f64 (.f64 eps (.f64 eps #s(literal -1/48 binary64))) (.f64 eps (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/48 binary64))) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (-.f64 (.f64 eps (.f64 eps #s(literal -1/48 binary64))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/56623104000 binary64))))) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/14745600 binary64)))) (-.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (.f64 (+.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/56623104000 binary64)))) (.f64 eps eps)) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/14745600 binary64))) (.f64 eps eps)) (-.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))
(.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))
(.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) eps)
(/.f64 (*.f64 eps #s(literal 1/3840 binary64)) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 (.f64 eps #s(literal 1/3840 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(literal 1/3840 binary64))) (/.f64 #s(literal -1 binary64) eps))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(.f64 #s(literal 1/3840 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/3840 binary64)) eps)
(.f64 (.f64 (*.f64 eps #s(literal 1/3840 binary64)) #s(literal 1 binary64)) eps)

simplify290.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

6364×	`-lowering-.f32`
6364×	`-lowering-.f64`
2784×	`+-lowering-+.f64`
2784×	`+-lowering-+.f32`
1838×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	4727
1	1476	4034
2	5014	4002
0	9251	4002

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(pow (sin (* 1/2 eps)) 2)
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* 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))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* 1/6 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1 x)
(- (* -1/2 eps) x)
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x)
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x)
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* -1 (* x (+ 1 (* -1/6 (pow eps 2)))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
(* -1/2 eps)
(* eps (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* 1/6 (* eps x)) 1/2))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(* 1/6 (* (pow eps 2) x))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* 1/6 (* (pow eps 2) x))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
-1/2
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(* 1/6 (* eps x))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* 1/6 (* eps x))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
-1/2
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(* 1/6 (* eps x))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* 1/6 (* eps x))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
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)))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos x) 1)
(- (+ (cos x) (* -1 (* eps (sin x)))) 1)
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(- (cos (* x (- 1 (* -1 (/ eps x))))) 1)
(- (cos (* x (- 1 (* -1 (/ eps x))))) 1)
(- (cos (* x (- 1 (* -1 (/ eps x))))) 1)
(- (cos (* x (- 1 (* -1 (/ eps x))))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps 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 (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (+ 1 (/ eps x))))
(cos (* x (- 1 (* -1 (/ eps x)))))
(cos (* x (- 1 (* -1 (/ eps x)))))
(cos (* x (- 1 (* -1 (/ eps x)))))
(cos (* x (- 1 (* -1 (/ eps x)))))
1
(+ 1 (/ eps x))
(+ 1 (/ eps x))
(+ 1 (/ eps x))
(/ eps x)
(* eps (+ (/ 1 eps) (/ 1 x)))
(* eps (+ (/ 1 eps) (/ 1 x)))
(* eps (+ (/ 1 eps) (/ 1 x)))
(/ eps x)
(* eps (+ (/ 1 eps) (/ 1 x)))
(* eps (+ (/ 1 eps) (/ 1 x)))
(* eps (+ (/ 1 eps) (/ 1 x)))
(/ eps x)
(/ (+ eps x) x)
(/ (+ eps x) x)
(/ (+ eps x) x)
1
(+ 1 (/ eps x))
(+ 1 (/ eps x))
(+ 1 (/ eps x))
1
(+ 1 (/ eps x))
(+ 1 (/ eps x))
(+ 1 (/ eps x))
(* -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)))))
(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 (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(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 (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* -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)))))
(* 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))

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 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 eps (.f64 (sin.f64 x) #s(literal 1/6 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 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (+.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))))) (.f64 x x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 (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 (cos.f64 x) (.f64 eps #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 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 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)))))
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(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
(.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
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(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
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(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
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(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
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(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 (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 (cos.f64 x) (.f64 eps #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
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(* 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)))))))))
(* 1/3840 (* (pow eps 5) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* (pow eps 5) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/3840 (sin (* 1/2 (+ eps (* 2 x)))))))
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(* (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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(* (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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(* 1/3840 (* (pow eps 5) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* -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))))))
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(* -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)))))))
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(* -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)))))))
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(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
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(+ (* 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))))))
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(+ (* 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))))))))
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(+ (* 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))))))))))))
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(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
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(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
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(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 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 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64))))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
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(* 1/3840 (pow eps 5))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1/3840 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
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(* 1/3840 (pow eps 5))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/48 (pow eps 2)))
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(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))
(* 1/3840 (pow eps 4))
(.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
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(* 1/3840 (pow eps 4))
(.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
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(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
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(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/8 binary64)) (.f64 (cos.f64 x) #s(literal 1/2 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))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 (.f64 eps x) #s(literal 1/6 binary64))
(* -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 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))
(* 1/3840 (pow eps 4))
(.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* 1/3840 (pow eps 4))
(.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))

eval105.0ms (0.6%)

Compiler: Compiled 21047 to 2316 computations (89% saved)

prune106.0ms (0.6%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	873	13	886
Fresh	3	12	15
Picked	3	2	5
Done	0	2	2
Total	879	29	908

Accuracy

100.0%

Counts

908 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
	82.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
▶	97.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
	54.4%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	80.2%	(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	79.0%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
✓	54.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	52.5%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	78.8%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	97.6%	(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
	99.2%	(.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.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)))))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64))
▶	99.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.3%	(.f64 (.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 (.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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.1%	(.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))
	22.8%	(.f64 (.f64 (.f64 eps (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.7%	(.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))
	98.4%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
	94.3%	(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
	97.6%	(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
✓	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
	78.8%	(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
	97.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
▶	97.5%	(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
	53.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
▶	52.4%	#s(literal 0 binary64)

Compiler

Compiled 1096 to 688 computations (37.2% saved)

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (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 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	128	(/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	0	(-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x))
✓	cost-diff	128	(.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (*.f64 x x)) #s(literal 1 binary64))
✓	cost-diff	256	(.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	1408	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
✓	cost-diff	128	(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	cost-diff	128	(.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x)))
✓	cost-diff	0	(+.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))))))))
✓	cost-diff	0	(.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)))))))))
✓	cost-diff	0	(.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 (.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 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)))) #s(literal -2 binary64))

Rules

3216×	`-lowering-.f32`
3216×	`-lowering-.f64`
1568×	`+-lowering-+.f64`
1568×	`+-lowering-+.f32`
1334×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	491
1	185	431
2	672	422
3	2513	415
4	5796	415
0	8184	415

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))))
(* 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
0
(* eps (* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))))
eps
(* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x)))
x
(+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))
(+ -1 (* (* eps eps) 1/6))
-1
(* (* eps eps) 1/6)
(* eps eps)
1/6
(/ (* eps -1/2) x)
(* eps -1/2)
-1/2
(/ (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1) (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps)))
(* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1)
(- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x))
(* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x)))))
(* eps (+ -1/2 (* 1/6 (* eps x))))
eps
(+ -1/2 (* 1/6 (* eps x)))
-1/2
(* 1/6 (* eps x))
1/6
(* eps x)
x
(* x x)
1
(* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps))
(+ x (* eps (+ -1/2 (* 1/6 (* eps x)))))
(/ 1 eps)
(* (* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))))
eps
(+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))
1/2
(/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))
(* eps (+ -1/48 (* (* eps eps) 1/3840)))
(+ -1/48 (* (* eps eps) 1/3840))
-1/48
(* (* eps eps) 1/3840)
(* eps eps)
1/3840
(/ 1 eps)
1
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2

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

localize334.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	99.4%	(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
✓	accuracy	99.9%	(-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 eps x))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	99.5%	(.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	accuracy	99.8%	(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x)))
✓	accuracy	99.9%	(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
✓	accuracy	99.8%	(.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 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.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)))))))

Results

233.0ms	250×	0	valid
11.0ms	4×	3	valid
2.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 601 to 56 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 54.0ms (55.7% of total)

...c/correct-round.rkt:119:19: 15.0ms (15.5% of total)

ival-add: 12.0ms (12.4% of total)

ival-div: 9.0ms (9.3% of total)

backward-pass: 2.0ms (2.1% of total)

ival-sin: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

ival-sub: 1.0ms (1% of total)

series40.0ms (0.2%)

Counts

23 → 420

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 (* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x)))>
#<alt (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))>
#<alt (* eps (* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))))>
#<alt (+ -1 (* (* eps eps) 1/6))>
#<alt (/ (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1) (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps)))>
#<alt (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps))>
#<alt (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1)>
#<alt (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x))>
#<alt (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))>
#<alt (* (* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))))>
#<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 eps) 1/6)>
#<alt (* 1/6 (* eps x))>
#<alt (* eps (+ -1/48 (* (* eps eps) 1/3840)))>
#<alt (* (* eps eps) 1/3840)>

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)))))))>
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#<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 (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* -1/48 eps)>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<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))>

Calls

105 calls:

Time	Variable		Point	Expression
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)
1.0ms	x	@	inf	(/ (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1) (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps)))
1.0ms	x	@	-inf	(/ (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1) (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps)))
1.0ms	x	@	-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	@	0	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite398.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5912×	`-lowering-.f32`
5912×	`-lowering-.f64`
2792×	`/-lowering-/.f32`
2792×	`/-lowering-/.f64`
2124×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	325
1	359	269
2	3471	269
0	10134	269

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 605

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)))))))
(* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x)))
(+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))
(* eps (* x (+ (+ -1 (* (* eps eps) 1/6)) (/ (* eps -1/2) x))))
(+ -1 (* (* eps eps) 1/6))
(/ (* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1) (* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps)))
(* (+ x (* eps (+ -1/2 (* 1/6 (* eps x))))) (/ 1 eps))
(* (- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x)) 1)
(- (* (* eps (+ -1/2 (* 1/6 (* eps x)))) (* eps (+ -1/2 (* 1/6 (* eps x))))) (* x x))
(/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))
(* (* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps)))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (/ (* eps (+ -1/48 (* (* eps eps) 1/3840))) (/ 1 eps))))
(* (* 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 eps) 1/6)
(* 1/6 (* eps x))
(* eps (+ -1/48 (* (* eps eps) 1/3840)))
(* (* eps eps) 1/3840)

Outputs
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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 (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 eps (.f64 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)))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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 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 eps (.f64 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 (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 eps (.f64 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)))))))))) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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 eps (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 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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 eps (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 eps (.f64 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 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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)))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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))))
(+.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 (.f64 eps 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 (.f64 eps 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 eps (.f64 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)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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 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 eps (.f64 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))))
(.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 eps (.f64 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 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 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)
(.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 eps (.f64 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 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 (.f64 eps 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 (.f64 eps 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 (*.f64 eps 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 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/8 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 (.f64 eps 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 (.f64 eps 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 (.f64 eps eps) #s(literal -1/645120 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 (.f64 eps 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 (.f64 eps 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 (*.f64 eps 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 (.f64 eps 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 (.f64 eps 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 (.f64 eps eps) #s(literal -1/645120 binary64))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))))
(/.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))) (-.f64 #s(literal 0 binary64) eps)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1/110592 binary64) (.f64 #s(literal 1/56623104000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (+.f64 (.f64 #s(literal -1/110592 binary64) (.f64 eps (.f64 eps eps))) (.f64 #s(literal 1/56623104000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (+.f64 (.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps #s(literal -1/48 binary64))) (-.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps #s(literal -1/48 binary64))) (.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))) (-.f64 (.f64 eps #s(literal -1/48 binary64)) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
(/.f64 (.f64 eps (+.f64 #s(literal -1/110592 binary64) (.f64 #s(literal 1/56623104000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 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 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1/110592 binary64) (.f64 #s(literal 1/56623104000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) eps) (+.f64 #s(literal 1/2304 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/2304 binary64) (.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) eps) (-.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))) #s(literal -1 binary64))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(.f64 eps (/.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))) eps)
(.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1 binary64)) eps)
(.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(.f64 #s(literal 1/3840 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/3840 binary64)) eps)

simplify354.0ms (2%)

Algorithm

1×	egg-herbie

Rules

7056×	`-lowering-.f32`
7056×	`-lowering-.f64`
3992×	`+-lowering-+.f64`
3992×	`+-lowering-+.f32`
1734×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	714	7541
1	2568	6236
0	8736	6236

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (* 1/6 (pow eps 2)) 1))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 x)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
-1
(- (* -1/2 (/ eps x)) 1)
(- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)
(- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* 1/6 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
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(/ (* x (+ 1 (* 1/6 (pow eps 2)))) eps)
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(* (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))
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(* (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))
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(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(* -1 (* eps (sin x)))
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(* 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))))))
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(* -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))))))
(* -1/48 (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))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* 1/6 (* eps x))
(* -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))

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 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 eps (.f64 (sin.f64 x) #s(literal 1/6 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 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))))) (sin.f64 x)))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))
(.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 (* 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))))))
(.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 (* 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)))))))
(.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 (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -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))))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal 1/1920 binary64))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -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)))))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal 1/1920 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)))))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -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)))))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/322560 binary64)) (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal 1/1920 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 6 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)))))) (neg.f64 (pow.f64 eps #s(literal 7 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 (.f64 #s(literal -2 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (.f64 eps #s(literal 1/2 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 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 x (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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 eps #s(literal 1/2 binary64))) x)))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -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 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 x (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))) #s(literal -1/48 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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 (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* -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))))))
(.f64 eps (.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 eps (.f64 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)))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 (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 (cos.f64 x) (.f64 #s(literal 1/4 binary64) eps))))
(* 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 eps (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
(* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (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 (* 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))))))
(.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))))))
(* (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)))))))
(.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 (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 6 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)))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
(* -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))))))))
(.f64 (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal -1/3840 binary64)) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/645120 binary64))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -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)))))))
(.f64 (+.f64 (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal -1/3840 binary64)) (.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)))) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/48 binary64))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -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))))))))
(.f64 (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps)) #s(literal -1/3840 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)))) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/48 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 6 binary64)))))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))) #s(literal -1/48 binary64))))))
(+ (* 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 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* 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))))))))
(+.f64 (.f64 x (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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 eps #s(literal 1/2 binary64))) x)) (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+ (* 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))))))))))))
(+.f64 (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))) #s(literal -1/48 binary64))))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))) #s(literal -1/48 binary64)))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) x)) (.f64 eps #s(literal -1/6 binary64)))) (.f64 x x)))
(* 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 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 (.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 eps (.f64 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 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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))) (neg.f64 (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 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (neg.f64 (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 #s(literal 1/645120 binary64) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))) (neg.f64 (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 eps (.f64 eps #s(literal -1/48 binary64))))
(+ 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 eps (.f64 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 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
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(.f64 (+.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)))) (.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) eps))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
(.f64 (+.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)))) (.f64 (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) eps))
(* 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 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #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 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))))
(* 1/3840 (pow eps 5))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
(* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (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 5))
(*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal -1/3840 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/3840 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64))))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/3840 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64))))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1 binary64)))
(* -1/48 (pow eps 2))
(.f64 eps (.f64 eps #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) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 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 eps (.f64 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 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #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))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal -1/645120 binary64)))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 eps (.f64 x #s(literal 1/6 binary64)))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)))
(* 1/3840 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* (pow eps 3) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(* 1/3840 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal -1/3840 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal -1/3840 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal -1/3840 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))

eval166.0ms (0.9%)

Compiler: Compiled 47223 to 3457 computations (92.7% saved)

prune138.0ms (0.8%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1069	16	1085
Fresh	7	13	20
Picked	3	2	5
Done	0	4	4
Total	1079	35	1114

Accuracy

100.0%

Counts

1114 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
	97.4%	(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
	97.6%	(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
	88.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
	96.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
	96.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
	54.4%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	80.2%	(-.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	54.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	52.5%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	78.8%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	97.6%	(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
	99.2%	(.f64 (/.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.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)))))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -2 binary64))
	79.6%	(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
	1.7%	(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
	78.8%	(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
	97.4%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
✓	99.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.1%	(.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))
	22.8%	(.f64 (.f64 (.f64 eps (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.7%	(.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))
	98.4%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
	97.5%	(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
	97.5%	(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
	99.3%	(.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 eps (.f64 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))
	97.6%	(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
✓	97.6%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
	97.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	97.5%	(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
	53.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
✓	52.4%	#s(literal 0 binary64)

Compiler

Compiled 1750 to 759 computations (56.6% saved)

regimes48.0ms (0.3%)

Counts

57 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(+.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 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 (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))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (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 eps (.f64 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 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.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)))))))) (/.f64 #s(literal 1 binary64) eps)) #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 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)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.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 (/.f64 #s(literal 1 binary64) (/.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))
(.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))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 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) (sin.f64 eps)))

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:

15.0ms	x
14.0ms	eps
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.2%)

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(+.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 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 (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))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (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 eps (.f64 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 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.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)))))))) (/.f64 #s(literal 1 binary64) eps)) #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 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)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3840 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))

Outputs

(*.f64 (*.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 (*.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))

Calls

3 calls:

14.0ms	eps
13.0ms	x
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(+.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 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 (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))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (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 eps (.f64 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 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (+.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)))))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -2 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 eps (*.f64 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

2 calls:

13.0ms	eps
12.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(+.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 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 (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))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

2 calls:

13.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (+.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(.f64 eps (-.f64 (.f64 eps (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x))
(.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/6 binary64))))) x))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))) eps)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x) (/.f64 #s(literal 1 binary64) eps))
(.f64 eps (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (.f64 eps (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps #s(literal 1/6 binary64))))) x)))
(.f64 x (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))))
(.f64 x (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 eps #s(literal -1/6 binary64)))) eps) eps) (.f64 x x)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) eps) (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (/.f64 x (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x))))) (.f64 x x)) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) x) (+.f64 x (/.f64 #s(literal 3/2 binary64) x)))) x)) eps))) eps) #s(literal -1/2 binary64)) eps)) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(+.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 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 eps x))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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 (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))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 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 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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))

Outputs

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

Calls

2 calls:

12.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

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

Outputs

(*.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))

Calls

2 calls:

11.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

39 → 1

Calls

Call 1

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

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:

11.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
78.8%	1	`x`
78.8%	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 eps (.f64 eps #s(literal -1/2 binary64)))

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
52.4%	1	`eps`
52.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary64`
30×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	180
1	130	180
2	145	180
3	154	180
4	159	180

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

soundness1.9s (10.7%)

Rules

7056×	`-lowering-.f32`
7056×	`-lowering-.f64`
6364×	`-lowering-.f32`
6364×	`-lowering-.f64`
5256×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	481
1	311	458
2	784	457
3	2955	457
0	8510	457
0	43	201
1	242	183
2	2257	171
0	9463	171
0	418	4727
1	1476	4034
2	5014	4002
0	9251	4002
0	714	7541
1	2568	6236
0	8736	6236
0	6	16
1	52	16
2	419	16
3	5296	16
0	8316	16
0	337	2684
1	1111	2340
2	3338	2319
3	7947	2307
0	8558	2307

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 482 to 287 computations (40.5% saved)

preprocess62.0ms (0.3%)

Compiler: Compiled 414 to 166 computations (59.9% 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

analyze62.0ms (0.4%)

sample9.6s (54%)

preprocess59.0ms (0.3%)

explain349.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize127.0ms (0.7%)

series4.0ms (0%)

rewrite298.0ms (1.7%)

simplify218.0ms (1.2%)

eval30.0ms (0.2%)

prune53.0ms (0.3%)

simplify132.0ms (0.7%)

localize520.0ms (2.9%)

series24.0ms (0.1%)

rewrite368.0ms (2.1%)

simplify385.0ms (2.2%)

eval88.0ms (0.5%)

prune72.0ms (0.4%)

simplify209.0ms (1.2%)

localize453.0ms (2.5%)

series37.0ms (0.2%)

rewrite357.0ms (2%)

simplify290.0ms (1.6%)

eval105.0ms (0.6%)

prune106.0ms (0.6%)

simplify161.0ms (0.9%)

localize334.0ms (1.9%)

series40.0ms (0.2%)

rewrite398.0ms (2.2%)

simplify354.0ms (2%)

eval166.0ms (0.9%)

prune138.0ms (0.8%)

regimes48.0ms (0.3%)

regimes42.0ms (0.2%)

regimes29.0ms (0.2%)

regimes28.0ms (0.2%)

regimes27.0ms (0.2%)

regimes25.0ms (0.1%)

regimes25.0ms (0.1%)

regimes21.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify12.0ms (0.1%)

soundness1.9s (10.7%)

preprocess62.0ms (0.3%)

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