Metrics for 2cos (problem 3.3.5)

analyze43.0ms (0.2%)

Memory

9.9MiB live, 86.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample8.7s (46.7%)

Memory

31.8MiB live, 12 165.8MiB allocated

Samples

3.4s	26 117×	0	invalid
3.1s	5 791×	2	valid
643.0ms	2 381×	1	valid
10.0ms	84×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-cos: 2.5s (44.2% of total)

const: 1.1s (18.6% of total)

ival-add: 347.0ms (6.1% of total)

ival-mult: 297.0ms (5.2% of total)

adjust: 294.0ms (5.1% of total)

ival-<=: 269.0ms (4.7% of total)

ival-<: 269.0ms (4.7% of total)

ival-sub: 255.0ms (4.5% of total)

ival-fabs: 239.0ms (4.2% of total)

ival-and: 105.0ms (1.8% of total)

exact: 44.0ms (0.8% of total)

ival-assert: 12.0ms (0.2% of total)

Bogosity

preprocess27.0ms (0.1%)

Memory

2.2MiB live, 41.2MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	43	44
2	87	42
3	160	42
4	287	42
5	387	42
6	478	42
7	543	42
8	556	42
9	566	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (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))

explain227.0ms (1.2%)

Memory

-2.3MiB live, 312.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
142	2	(1.5050386306283197e-158 3.9068266150401176e-166)	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
1	0	-	-	`(cos.f64 (+.f64 x eps))`
0	0	-	-	`eps`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	144	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	142	0
-	2	112

Precision

0.9861111111111112

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	0	0
-	2	0	112

Precision?

0.9861111111111112

Recall?

1.0

Freqs

test

number	freq
0	112
1	143
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

149.0ms	332×	2	valid
24.0ms	176×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-cos: 128.0ms (85.3% of total)

adjust: 10.0ms (6.7% of total)

ival-sub: 6.0ms (4% of total)

ival-add: 5.0ms (3.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory

16.6MiB live, 16.6MiB allocated

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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (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)

localize91.0ms (0.5%)

Memory

-26.0MiB live, 135.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

66.0ms	166×	2	valid
10.0ms	88×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-cos: 48.0ms (77.9% of total)

adjust: 8.0ms (13% of total)

ival-add: 3.0ms (4.9% of total)

ival-sub: 3.0ms (4.9% of total)

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

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

series4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

21 calls:

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

rewrite702.0ms (3.8%)

Memory

-69.4MiB live, 508.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 936×	`accelerator-lowering-fma.f32`
4 936×	`accelerator-lowering-fma.f64`
4 656×	`-lowering-.f32`
4 656×	`-lowering-.f64`
2 192×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	50	16
2	376	16
3	4688	16
0	8201	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 228

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

simplify476.0ms (2.6%)

Memory

18.1MiB live, 614.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 158×	`accelerator-lowering-fma.f32`
14 158×	`accelerator-lowering-fma.f64`
4 148×	`-lowering-.f32`
4 148×	`-lowering-.f64`
3 720×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	498
1	277	495
2	609	495
3	2398	494
4	7880	494
0	8026	474

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

eval60.0ms (0.3%)

Memory: 12.8MiB live, 52.0MiB allocated
Compiler: Compiled 8 338 to 898 computations (89.2% saved)

prune63.0ms (0.3%)

Memory

-0.9MiB live, 74.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	305	7	312
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	8	313

Accuracy

99.8%

Counts

313 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
▶	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
▶	48.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	48.3%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.8%	(.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))
▶	79.0%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
	99.5%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))

Compiler

Compiled 221 to 156 computations (29.4% saved)

simplify390.0ms (2.1%)

Memory

-12.0MiB live, 304.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4 844×	`/-lowering-/.f32`
4 844×	`/-lowering-/.f64`
4 580×	`accelerator-lowering-fma.f32`
4 580×	`accelerator-lowering-fma.f64`
3 834×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	200
1	74	200
2	178	200
3	365	200
4	849	200
5	1741	200
6	2332	200
7	2637	192
8	2746	192
9	3151	192
10	4019	192
11	4786	192
12	5222	192
13	5500	192
14	5675	192
0	8624	178

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

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

localize349.0ms (1.9%)

Memory

18.3MiB live, 299.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.6%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	49.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	49.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	50.7%	(+.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%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 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	99.8%	(.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))))

Samples

189.0ms	172×	2	valid
82.0ms	83×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 214 to 37 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-cos: 49.0ms (23.3% of total)

ival-mult: 43.0ms (20.4% of total)

ival-sin: 36.0ms (17.1% of total)

ival-div: 31.0ms (14.7% of total)

adjust: 20.0ms (9.5% of total)

ival-add: 19.0ms (9% of total)

ival-sub: 7.0ms (3.3% of total)

const: 5.0ms (2.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series37.0ms (0.2%)

Memory

2.8MiB live, 40.1MiB allocated

Counts

21 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(* (sin x) (- 0 eps))
2.0ms	eps	@	0	(- (cos (+ x eps)) (+ 1 (* x (* x (+ -1/2 (* 1/24 (* x x)))))))
1.0ms	x	@	0	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	0	(* (sin x) (- 0 eps))

rewrite635.0ms (3.4%)

Memory

12.7MiB live, 562.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 466×	`-lowering-.f32`
5 466×	`-lowering-.f64`
4 468×	`/-lowering-/.f32`
4 468×	`/-lowering-/.f64`
3 142×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	144
1	212	144
2	1944	144
0	8842	133

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 438

Calls

Call 1

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

Outputs
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(/.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 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) #s(literal 0 binary64)) (*.f64 eps eps))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 eps (.f64 eps eps)) #s(literal 0 binary64))) (.f64 (/.f64 eps (*.f64 eps eps)) eps))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) (.f64 (.f64 eps eps) #s(literal 0 binary64))) (.f64 eps (*.f64 eps eps)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) eps) (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps) (.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) eps) eps))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) #s(literal 0 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 0 binary64))) (.f64 eps (*.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))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)))
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (-.f64 eps (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (-.f64 eps (*.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 eps (.f64 x #s(literal 2 binary64))))
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(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 x (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 (.f64 x x) #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) x (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) x (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) x (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/576 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(.f64 x (.f64 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 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x)
(.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 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) x)

simplify692.0ms (3.7%)

Memory

20.0MiB live, 1 075.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 082×	`accelerator-lowering-fma.f32`
14 082×	`accelerator-lowering-fma.f64`
5 570×	`-lowering-.f32`
5 570×	`-lowering-.f64`
4 366×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	3186
1	1040	3067
2	2801	3011
3	6838	3011
0	8479	2793

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
x
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(+ x (* 1/2 eps))
(+.f64 x (*.f64 eps #s(literal 1/2 binary64)))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(* x (+ 1 (* 1/2 (/ eps x))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(* x (+ 1 (* 1/2 (/ eps x))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(* -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 #s(literal 1/6 binary64) (sin.f64 x))) (.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 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.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 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/12 binary64)) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.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)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 x (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64))))))))))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
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(- (cos eps) 1)
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1
#s(literal 1 binary64)
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(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
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(cos eps)
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(cos eps)
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(cos eps)
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(cos eps)
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(cos eps)
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(cos eps)
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(cos eps)
(cos.f64 eps)
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
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(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
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(* -1 (* eps (sin x)))
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(* -1 (* eps (sin x)))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
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(sin x)
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(sin x)
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(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
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(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 eps)
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(* 1/2 (pow x 2))
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(* (pow x 2) (- (+ 1/2 (/ (cos (+ eps x)) (pow x 2))) (/ 1 (pow x 2))))
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(* 1/2 (pow x 2))
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
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(cos x)
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (- x (* -1 eps)))
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(cos (- x (* -1 eps)))
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(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 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* x (+ 1 (/ eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.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 (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(* eps (+ 1 (/ x eps)))
(*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 eps (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
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(- (cos eps) 1)
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(* -1/24 (pow x 4))
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(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
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(* -1/24 (pow x 4))
(.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
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(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
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(-.f64 (-.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))))) (*.f64 eps (sin.f64 x)))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/2 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 (cos.f64 x) (+.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 #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 (+ 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) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.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 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.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 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.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) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.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 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.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 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 eps (.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 eps (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.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 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 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))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 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 (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.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))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.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) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.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) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))

eval351.0ms (1.9%)

Memory: -12.7MiB live, 276.0MiB allocated
Compiler: Compiled 24 920 to 2 001 computations (92% saved)

prune251.0ms (1.3%)

Memory

2.8MiB live, 284.8MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	882	26	908
Fresh	1	1	2
Picked	3	2	5
Done	1	0	1
Total	887	29	916

Accuracy

100.0%

Counts

916 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
✓	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
✓	48.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
	78.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	98.0%	(+.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))))
▶	48.3%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.7%	(.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))
	99.5%	(.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))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (.f64 eps eps) eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.7%	(.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))
	44.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
	40.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
▶	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) #s(literal -2 binary64))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
▶	78.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 #s(literal 0 binary64) eps))
	78.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	79.0%	(.f64 (.f64 eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal -2 binary64))
	77.6%	(.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps))
▶	77.6%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	77.6%	(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
	79.0%	(*.f64 (sin.f64 x) (neg.f64 eps))
	78.4%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
	78.5%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	99.5%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	49.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))

Compiler

Compiled 1 046 to 710 computations (32.1% saved)

simplify382.0ms (2.1%)

Memory

10.5MiB live, 708.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
✓	cost-diff	128	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	256	(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
✓	cost-diff	256	(/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
✓	cost-diff	128	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 #s(literal 0 binary64) eps))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))

Rules

9 560×	`accelerator-lowering-fma.f32`
9 560×	`accelerator-lowering-fma.f64`
5 224×	`-lowering-.f32`
5 224×	`-lowering-.f64`
1 916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	270
1	115	268
2	354	264
3	1681	257
4	5344	256
0	8117	234

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize157.0ms (0.8%)

Memory

-8.0MiB live, 397.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #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 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
✓	accuracy	99.5%	(.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
✓	accuracy	56.2%	(/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
✓	accuracy	100.0%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 #s(literal 0 binary64) eps))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))

Samples

86.0ms	255×	0	valid
0.0ms	1×	1	exit

Compiler

Compiled 312 to 46 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 24.0ms (38.3% of total)

ival-sin: 11.0ms (17.6% of total)

ival-add: 9.0ms (14.4% of total)

const: 9.0ms (14.4% of total)

ival-div: 8.0ms (12.8% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series28.0ms (0.1%)

Memory

36.3MiB live, 74.6MiB allocated

Counts

21 → 348

Calls

Call 1

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

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 (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))>
#<alt (* 1/5040 (* eps (pow x 7)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 7) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))>
#<alt (* 1/5040 (* eps (pow x 7)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (+ (* 1/120 (/ eps (pow x 2))) (/ eps (pow x 6)))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (/ -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -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 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))>
#<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 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps 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 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))>
#<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 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))>
#<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 (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<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 (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<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 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<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 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (+ 2 (/ eps x)))))>
#<alt (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))>
#<alt (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))>
#<alt (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))>
#<alt (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))>

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (* (* x 1/2) (+ 2 (/ eps x))))) -2)
2.0ms	eps	@	0	(* (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) (- 0 eps))
1.0ms	x	@	inf	(* (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 1/120 (* (* x x) -1/5040))))))) (- 0 eps))
1.0ms	eps	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (* (* x 1/2) (+ 2 (/ eps x))))) -2)
1.0ms	x	@	-inf	(* (* (sin (* eps 1/2)) (sin (+ x (* eps 1/2)))) -2)

rewrite403.0ms (2.2%)

Memory

-17.9MiB live, 850.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 494×	`-lowering-.f32`
5 494×	`-lowering-.f64`
4 476×	`/-lowering-/.f32`
4 476×	`/-lowering-/.f64`
3 576×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	206
1	262	196
2	2379	196
0	9225	177

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 430

Calls

Call 1

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

Outputs
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #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 #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
(.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (.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 #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #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 #s(literal 2 binary64)) x)))
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))
(+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (/.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))
(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x) (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1/2 binary64))
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 #s(literal 0 binary64))))
(+.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 eps #s(literal -2 binary64)))))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 #s(literal 0 binary64))))
(fma.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64))))
(+.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal -2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(neg.f64 (/.f64 eps #s(literal -2 binary64)))
(/.f64 eps #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) eps)))
(/.f64 (.f64 eps eps) (.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64))
(/.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal 2 binary64) (.f64 eps eps)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 #s(literal -2 binary64) (.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps eps))) (.f64 eps eps))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) eps)
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
#s(literal 0 binary64)
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) #s(literal 0 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (.f64 x (-.f64 #s(literal 0 binary64) eps))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) x) (.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (.f64 x (-.f64 #s(literal 0 binary64) eps))))
(+.f64 (.f64 x (-.f64 #s(literal 0 binary64) eps)) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(fma.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(fma.f64 (-.f64 #s(literal 0 binary64) eps) x (.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x)))))
(neg.f64 (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))))
(neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) eps))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))) eps)
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps)))) (*.f64 eps eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) eps)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (*.f64 eps eps))
(.f64 x (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) eps)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (.f64 x (-.f64 #s(literal 0 binary64) eps)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))))
(.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) eps)) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))
(+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x))) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))) x)
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) x x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))) (.f64 x x) x)
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(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))))) #s(literal 1/2 binary64))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (/.f64 (.f64 eps eps) #s(literal 4 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (sin.f64 (/.f64 (/.f64 (.f64 eps eps) #s(literal 4 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))))
(sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 x) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -1/5040 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/5040 binary64)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 #s(literal 1/120 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) x) x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) x)
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/5040 binary64)) x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x))))
(+.f64 (.f64 (sin.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x)) (sin.f64 x)))
(sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x)) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 x) (*.f64 (cos.f64 (/.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) x)) (sin.f64 x)))

simplify453.0ms (2.4%)

Memory

32.8MiB live, 1 146.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 070×	`accelerator-lowering-fma.f32`
15 070×	`accelerator-lowering-fma.f64`
4 970×	`-lowering-.f32`
4 970×	`-lowering-.f64`
4 160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	3505
1	905	3468
2	2633	3372
3	5932	3362
0	8290	3101

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* 1/5040 (* eps (pow x 7)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 7) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))
(* 1/5040 (* eps (pow x 7)))
(* -1 (* (pow x 7) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2)))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (+ (* 1/120 (/ eps (pow x 2))) (/ eps (pow x 6)))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(/ -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
x
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(* 1/2 eps)
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* 1/2 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* -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 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))))
(* -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 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x)))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps 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 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (- 2 (* -1 (/ eps x)))))))
(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 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (* x (+ 2 (/ eps x))))))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(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 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (+ 2 (/ eps x)))))
(sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))
(sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))
(sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))
(sin (* 1/2 (* x (- 2 (* -1 (/ eps x))))))

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

eval136.0ms (0.7%)

Memory: 10.3MiB live, 206.3MiB allocated
Compiler: Compiled 17 159 to 2 077 computations (87.9% saved)

prune101.0ms (0.5%)

Memory

-0.2MiB live, 275.8MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	800	23	823
Fresh	10	12	22
Picked	4	1	5
Done	2	0	2
Total	816	36	852

Accuracy

100.0%

Counts

852 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(/.f64 (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))
	19.2%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (*.f64 eps eps))
	70.0%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) eps)
	79.0%	(/.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps))
	78.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (sin.f64 x)))
	78.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	98.0%	(+.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))))
▶	99.9%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
	78.5%	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) eps))
	77.6%	(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps eps))
	99.8%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	44.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
	40.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	97.2%	(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
▶	99.8%	(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
✓	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	78.5%	(.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) eps))
	78.5%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	77.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))
▶	79.0%	(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
	79.0%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
	79.0%	(*.f64 (sin.f64 x) (neg.f64 eps))
	76.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	78.4%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
	78.5%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	99.5%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
▶	78.5%	(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
	49.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
▶	48.3%	#s(literal 0 binary64)

Compiler

Compiled 1 537 to 936 computations (39.1% saved)

simplify420.0ms (2.3%)

Memory

-61.8MiB live, 737.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 eps (.f64 (sin.f64 x) #s(literal 1/2 binary64)))
✓	cost-diff	128	(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
✓	cost-diff	0	(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
✓	cost-diff	12928	(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))

Rules

11 302×	`accelerator-lowering-fma.f32`
11 302×	`accelerator-lowering-fma.f64`
3 826×	`-lowering-.f32`
3 826×	`-lowering-.f64`
3 538×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	291
1	101	289
2	285	289
3	796	284
4	2528	284
5	4428	284
6	7940	284
0	8122	265

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize202.0ms (1.1%)

Memory

-0.5MiB live, 279.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(.f64 eps (.f64 (sin.f64 x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))

Samples

114.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 311 to 44 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.4% of total)

const: 11.0ms (19.3% of total)

ival-sin: 7.0ms (12.3% of total)

ival-div: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

ival-cos: 3.0ms (5.3% of total)

exact: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

series24.0ms (0.1%)

Memory

2.2MiB live, 38.7MiB allocated

Counts

20 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))
1.0ms	x	@	inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
1.0ms	eps	@	-inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
1.0ms	eps	@	inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
1.0ms	x	@	-inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))

rewrite422.0ms (2.3%)

Memory

-1.9MiB live, 712.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 882×	`accelerator-lowering-fma.f32`
5 882×	`accelerator-lowering-fma.f64`
5 010×	`-lowering-.f32`
5 010×	`-lowering-.f64`
4 152×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	203
1	213	201
2	1672	198
0	8587	184

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 429

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(+.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(-.f64 (/.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))) (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (sin.f64 x) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64)))))) (cos.f64 x) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))))) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))))) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64)))))))))))
(/.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))) (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) eps)) x)) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 eps #s(literal 2 binary64))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))))))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))) (neg.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal 4 binary64))
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(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/5040 binary64)) x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (cos.f64 (/.f64 (/.f64 (.f64 eps eps) #s(literal 4 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (sin.f64 (/.f64 (/.f64 (.f64 eps eps) #s(literal 4 binary64)) (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))
(sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 x) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1/2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))))))))

simplify574.0ms (3.1%)

Memory

43.1MiB live, 1 018.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 898×	`accelerator-lowering-fma.f32`
16 898×	`accelerator-lowering-fma.f64`
6 444×	`-lowering-.f32`
6 444×	`-lowering-.f64`
5 458×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	4612
1	1367	4495
2	4248	4323
0	8086	4059

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(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))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(* 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))))))))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 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 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 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 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* x (cos (* 1/2 eps)))
(* x (+ (cos (* 1/2 eps)) (* -1/6 (* (pow x 2) (cos (* 1/2 eps))))))
(* x (+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/6 (cos (* 1/2 eps))) (* 1/120 (* (pow x 2) (cos (* 1/2 eps))))))))
(* x (+ (cos (* 1/2 eps)) (* (pow x 2) (+ (* -1/6 (cos (* 1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos (* 1/2 eps)))) (* 1/120 (cos (* 1/2 eps)))))))))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(sin x)
(+ (sin x) (* -1/8 (* (pow eps 2) (sin x))))
(+ (sin x) (* (pow eps 2) (+ (* -1/8 (sin x)) (* 1/384 (* (pow eps 2) (sin x))))))
(+ (sin x) (* (pow eps 2) (+ (* -1/8 (sin x)) (* (pow eps 2) (+ (* -1/46080 (* (pow eps 2) (sin x))) (* 1/384 (sin x)))))))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
(* (cos (* 1/2 eps)) (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* 1/5040 (* eps (pow x 7)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 7) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))
(* 1/5040 (* eps (pow x 7)))
(* -1 (* (pow x 7) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2)))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (+ (* 1/120 (/ eps (pow x 2))) (/ eps (pow x 6)))))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* 1/5040 (pow x 7))
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))
-1
(- (* 1/6 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)
(* 1/5040 (pow x 6))
(* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps x))
(* x (+ (* -1/12 (* eps (pow x 2))) (* 1/2 eps)))
(* x (+ (* 1/2 eps) (* (pow x 2) (+ (* -1/12 eps) (* 1/240 (* eps (pow x 2)))))))
(* x (+ (* 1/2 eps) (* (pow x 2) (+ (* -1/12 eps) (* (pow x 2) (+ (* -1/10080 (* eps (pow x 2))) (* 1/240 eps)))))))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 (* eps (sin x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/12 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12))))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 (sin x))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* -1 (* 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 (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 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 (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 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 (* eps (cos x)))
(* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))
(* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/645120 (* (pow eps 2) (cos x))) (* 1/3840 (cos x))))))))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/24 (sin (* 1/2 eps))))))))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* 1/4 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/4 (cos x))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/1440 (* (pow eps 2) (cos x)))))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/80640 (* (pow eps 2) (cos x))) (* 1/1440 (cos x))))))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(pow (sin (* 1/2 eps)) 2)
(+ (* -1/2 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (pow (sin (* 1/2 eps)) 2))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/24 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))))) (pow (sin (* 1/2 eps)) 2))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (* 1/24 (pow (sin (* 1/2 eps)) 2)))))) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))

Outputs
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
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(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/24 (sin (* 1/2 eps))))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x))
(* 1/4 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/4 (cos x))))
(.f64 (.f64 eps eps) (.f64 (cos.f64 x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/1440 (* (pow eps 2) (cos x)))))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 (.f64 eps (.f64 eps (cos.f64 x))) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/1440 binary64))))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/80640 (* (pow eps 2) (cos x))) (* 1/1440 (cos x))))))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps (cos.f64 x))) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)))) (.f64 (cos.f64 x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* -1/2 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (pow (sin (* 1/2 eps)) 2))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/24 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))))) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (* 1/24 (pow (sin (* 1/2 eps)) 2)))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(* -1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/5040 binary64))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (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 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (*.f64 eps eps)) #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 #s(literal -1/48 binary64) (.f64 eps eps)))))))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))

eval97.0ms (0.5%)

Memory: -9.6MiB live, 219.0MiB allocated
Compiler: Compiled 25 812 to 2 042 computations (92.1% saved)

prune133.0ms (0.7%)

Memory

-11.8MiB live, 147.9MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	807	7	814
Fresh	3	27	30
Picked	3	2	5
Done	0	1	1
Total	813	37	850

Accuracy

100.0%

Counts

850 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(/.f64 (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))
	19.2%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (*.f64 eps eps))
	70.0%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) eps)
	78.5%	(/.f64 (.f64 (.f64 x eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
	79.0%	(/.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps))
	78.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (sin.f64 x)))
	78.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	98.0%	(+.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))))
	99.8%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
	78.5%	(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) eps))
	76.0%	(.f64 (/.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))
	77.6%	(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps eps))
	99.8%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	44.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
	40.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
	98.2%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	97.2%	(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
✓	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	77.1%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))
	78.2%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps x)) #s(literal -2 binary64))
	79.0%	(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
	79.0%	(*.f64 (sin.f64 x) (neg.f64 eps))
	76.9%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	78.4%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
	78.5%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	99.5%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
✓	78.5%	(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
	78.5%	(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
	49.8%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
✓	48.3%	#s(literal 0 binary64)

Compiler

Compiled 1 976 to 804 computations (59.3% saved)

regimes55.0ms (0.3%)

Memory

-3.2MiB live, 77.3MiB allocated

Counts

64 → 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 (.f64 #s(literal 1/2 binary64) (*.f64 eps x)) #s(literal -2 binary64))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) eps)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (*.f64 eps eps))
(/.f64 (.f64 (.f64 x eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) eps))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(.f64 (.f64 eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal -2 binary64))
(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
(/.f64 (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 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 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (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 #s(literal 1/24 binary64) (.f64 x x)))))))
(.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 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps 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 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) #s(literal -2 binary64))
(.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 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #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) 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 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #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))) (sin.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
(+.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))))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

17.0ms	x
16.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.3%)

Memory

-3.8MiB live, 73.4MiB allocated

Counts

63 → 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 (.f64 #s(literal 1/2 binary64) (*.f64 eps x)) #s(literal -2 binary64))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))) eps)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))) (*.f64 eps eps))
(/.f64 (.f64 (.f64 x eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(.f64 (.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) eps))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(.f64 (.f64 eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal -2 binary64))
(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (sin.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
(/.f64 (/.f64 (sin.f64 x) eps) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 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 #s(literal -1/2 binary64) (.f64 x x))))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (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 #s(literal 1/24 binary64) (.f64 x x)))))))
(.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 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps 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 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal -1/720 binary64)))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) #s(literal -2 binary64))
(.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 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 eps x))))) #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) 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 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #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))) (sin.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps))))))) #s(literal -2 binary64))
(+.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))))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps))))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) eps)))))

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

Calls

3 calls:

16.0ms	x
15.0ms	eps
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.2%)

Memory

9.4MiB live, 53.1MiB allocated

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

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

Calls

3 calls:

14.0ms	eps
12.0ms	x
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes38.0ms (0.2%)

Memory

-26.4MiB live, 51.3MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

11.0ms	eps
11.0ms	x
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.1%)

Memory

5.6MiB live, 44.0MiB allocated

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

Calls

2 calls:

10.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.1%)

Memory

-11.6MiB live, 36.3MiB allocated

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

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

Calls

2 calls:

10.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.2%)

Memory

0.8MiB live, 39.8MiB allocated

Counts

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

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

Calls

2 calls:

9.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

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

Outputs
(*.f64 (sin.f64 x) (neg.f64 eps))

Calls

2 calls:

9.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
79.0%	1	`x`
79.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

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

Outputs

(*.f64 eps (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
78.5%	1	`eps`
78.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-29.0MiB live, 8.0MiB allocated

Counts

12 → 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 (.f64 #s(literal 1/2 binary64) (*.f64 eps x)) #s(literal -2 binary64))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))))

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

Calls

2 calls:

9.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
78.5%	1	`eps`
78.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

5 → 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 (.f64 #s(literal 1/2 binary64) (*.f64 eps x)) #s(literal -2 binary64))

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
78.3%	1	`x`
78.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

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
49.8%	1	`x`
49.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

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
48.3%	1	`eps`
48.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify17.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

106×	`*-commutative_binary64`
50×	`+-commutative_binary64`
36×	`sub-neg_binary64`
32×	`neg-mul-1_binary64`
30×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	171
1	138	171
2	174	171
3	201	171
4	223	171
5	236	171
6	251	171
7	258	171
8	262	171
9	263	171

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (8.3%)

Memory

2.8MiB live, 1 371.4MiB allocated

Rules

16 898×	`accelerator-lowering-fma.f32`
16 898×	`accelerator-lowering-fma.f64`
15 070×	`accelerator-lowering-fma.f32`
15 070×	`accelerator-lowering-fma.f64`
14 158×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	206
1	262	196
2	2379	196
0	9225	177
0	346	3186
1	1040	3067
2	2801	3011
3	6838	3011
0	8479	2793
0	422	4612
1	1367	4495
2	4248	4323
0	8086	4059
0	6	16
1	50	16
2	376	16
3	4688	16
0	8201	16
0	105	498
1	277	495
2	609	495
3	2398	494
4	7880	494
0	8026	474
0	35	144
1	212	144
2	1944	144
0	8842	133
0	289	3505
1	905	3468
2	2633	3372
3	5932	3362
0	8290	3101

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
1×	iter limit
1×	node limit

Compiler

Compiled 550 to 346 computations (37.1% saved)

preprocess78.0ms (0.4%)

Memory: 17.5MiB live, 212.5MiB allocated
Compiler: Compiled 436 to 210 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	48
1	43	44
2	87	42
3	160	42
4	287	42
5	387	42
6	478	42
7	543	42
8	556	42
9	566	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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

Iter	Nodes	Cost
0	75	171
1	138	171
2	174	171
3	201	171
4	223	171
5	236	171
6	251	171
7	258	171
8	262	171
9	263	171

Iter	Nodes	Cost
0	21	48
1	43	44
2	87	42
3	160	42
4	287	42
5	387	42
6	478	42
7	543	42
8	556	42
9	566	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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

Iter	Nodes	Cost
0	75	171
1	138	171
2	174	171
3	201	171
4	223	171
5	236	171
6	251	171
7	258	171
8	262	171
9	263	171

analyze43.0ms (0.2%)

sample8.7s (46.7%)

preprocess27.0ms (0.1%)

explain227.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize91.0ms (0.5%)

series4.0ms (0%)

rewrite702.0ms (3.8%)

simplify476.0ms (2.6%)

eval60.0ms (0.3%)

prune63.0ms (0.3%)

simplify390.0ms (2.1%)

localize349.0ms (1.9%)

series37.0ms (0.2%)

rewrite635.0ms (3.4%)

simplify692.0ms (3.7%)

eval351.0ms (1.9%)

prune251.0ms (1.3%)

simplify382.0ms (2.1%)

localize157.0ms (0.8%)

series28.0ms (0.1%)

rewrite403.0ms (2.2%)

simplify453.0ms (2.4%)

eval136.0ms (0.7%)

prune101.0ms (0.5%)

simplify420.0ms (2.3%)

localize202.0ms (1.1%)

series24.0ms (0.1%)

rewrite422.0ms (2.3%)

simplify574.0ms (3.1%)

eval97.0ms (0.5%)

prune133.0ms (0.7%)

regimes55.0ms (0.3%)

regimes51.0ms (0.3%)

regimes39.0ms (0.2%)

regimes38.0ms (0.2%)

regimes26.0ms (0.1%)

regimes27.0ms (0.1%)

regimes42.0ms (0.2%)

regimes20.0ms (0.1%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify17.0ms (0.1%)

soundness1.5s (8.3%)

preprocess78.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	48
1	43	44
2	87	42
3	160	42
4	287	42
5	387	42
6	478	42
7	543	42
8	556	42
9	566	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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

Iter	Nodes	Cost
0	75	171
1	138	171
2	174	171
3	201	171
4	223	171
5	236	171
6	251	171
7	258	171
8	262	171
9	263	171