Metrics for 2cos (problem 3.3.5)

analyze48.0ms (0.2%)

Memory

7.2MiB live, 45.5MiB 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)

sample9.7s (47.8%)

Memory

25.6MiB live, 11 589.2MiB allocated

Samples

4.3s	26 127×	0	invalid
3.0s	5 740×	2	valid
591.0ms	2 444×	1	valid
9.0ms	72×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.1s

ival-cos: 2.7s (43.7% of total)

const: 924.0ms (15.1% of total)

ival-add: 518.0ms (8.4% of total)

adjust: 353.0ms (5.8% of total)

ival-sub: 346.0ms (5.6% of total)

ival-mult: 324.0ms (5.3% of total)

ival-fabs: 318.0ms (5.2% of total)

ival-<=: 309.0ms (5% of total)

ival-<: 195.0ms (3.2% of total)

ival-and: 104.0ms (1.7% of total)

exact: 46.0ms (0.8% of total)

ival-assert: 13.0ms (0.2% of total)

Bogosity

preprocess29.0ms (0.1%)

Memory

-24.1MiB live, 58.9MiB 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))

explain187.0ms (0.9%)

Memory

24.1MiB live, 460.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
149	1	(-1.015739235832911e-156 6.601359148670868e-168)	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	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	150	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	150	0
-	1	105

Precision

0.9933774834437086

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	150	0	0
-	1	0	105

Precision?

0.9933774834437086

Recall?

1.0

Freqs

test

number	freq
0	105
1	149
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

115.0ms	328×	2	valid
22.0ms	172×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-cos: 89.0ms (78.3% of total)

adjust: 12.0ms (10.6% of total)

ival-sub: 7.0ms (6.2% of total)

ival-add: 6.0ms (5.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0%)

Memory

-15.1MiB live, 23.8MiB 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)

localize77.0ms (0.4%)

Memory

-4.4MiB live, 194.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	49.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

56.0ms	164×	2	valid
12.0ms	86×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-cos: 43.0ms (77.2% of total)

adjust: 6.0ms (10.8% of total)

ival-sub: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

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

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

series4.0ms (0%)

Memory

11.2MiB live, 11.2MiB 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	eps	@	-inf	(- (cos (+ x eps)) (cos x))

rewrite330.0ms (1.6%)

Memory

13.4MiB live, 640.6MiB 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 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (-.f64 #s(literal 0 binary64) eps)) (-.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)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (-.f64 #s(literal 0 binary64) eps)) (-.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 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (-.f64 #s(literal 0 binary64) eps)) (-.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) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
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(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)))) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps (.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.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 x eps) (-.f64 eps 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)))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)) (.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 x x) (-.f64 x eps))) (.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (-.f64 eps x))))) (fma.f64 (.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 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (-.f64 eps x))))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(.f64 (+.f64 x eps) (.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (-.f64 eps x))))))
(.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))
(.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))))
(.f64 (.f64 (+.f64 x eps) (-.f64 #s(literal 0 binary64) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (fma.f64 x (.f64 x x) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 eps (-.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps (-.f64 eps x)) (.f64 (.f64 eps (-.f64 eps x)) (.f64 eps (-.f64 eps x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps (-.f64 eps x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (-.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))) (-.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (-.f64 x eps) (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.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 (fma.f64 x x (.f64 eps (-.f64 eps x))) (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x 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))

simplify617.0ms (3%)

Memory

-135.5MiB live, 721.5MiB 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) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(-.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (sin x)))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) #s(literal 0 binary64)))) (-.f64 #s(literal 0 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 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 x (.f64 (sin.f64 eps) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(-.f64 (.f64 (fma.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))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 eps (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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)

eval41.0ms (0.2%)

Memory: 5.3MiB live, 82.0MiB allocated
Compiler: Compiled 8 034 to 878 computations (89.1% saved)

prune43.0ms (0.2%)

Memory

-13.2MiB live, 106.1MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	301	11	312
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	301	12	313

Accuracy

99.8%

Counts

313 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
	49.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	49.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (cos.f64 x))
	47.2%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	46.6%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶	46.2%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.1%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
▶	98.7%	(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))

Compiler

Compiled 329 to 224 computations (31.9% saved)

simplify510.0ms (2.5%)

Memory

25.2MiB live, 618.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) eps)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	cost-diff	0	(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	cost-diff	0	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	192	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))

Rules

12 228×	`accelerator-lowering-fma.f32`
12 228×	`accelerator-lowering-fma.f64`
4 232×	`-lowering-.f32`
4 232×	`-lowering-.f64`
1 560×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	182
1	88	182
2	216	182
3	490	174
4	985	174
5	2251	174
6	4541	174
7	5763	174
8	6533	174
9	7086	174
10	7175	174
11	7199	174
12	7375	174
13	7647	174
14	7708	174
15	7779	174
16	7801	174
17	7804	174
18	7806	174
19	7806	174
0	8105	163

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize283.0ms (1.4%)

Memory

-0.1MiB live, 468.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))
✓	accuracy	99.9%	(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	49.8%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	50.0%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))

Samples

173.0ms	168×	2	valid
50.0ms	84×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 189 to 42 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-cos: 61.0ms (34.9% of total)

ival-mult: 44.0ms (25.1% of total)

adjust: 25.0ms (14.3% of total)

ival-add: 21.0ms (12% of total)

ival-sin: 10.0ms (5.7% of total)

ival-sub: 7.0ms (4% of total)

const: 5.0ms (2.9% of total)

exact: 2.0ms (1.1% of total)

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

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

series30.0ms (0.1%)

Memory

14.3MiB live, 51.8MiB allocated

Counts

20 → 372

Calls

Call 1

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

Outputs
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* 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 (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 (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 (* -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 (* -1/24 (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 (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) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1 x) (* -1/2 eps))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/2 (* 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 (* 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>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>

Calls

93 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(- (cos (+ x eps)) (+ (* x (* x (+ (* 1/24 (* x x)) -1/2))) 1))
2.0ms	eps	@	0	(* (sin (* (+ eps 0) 1/2)) (sin (* (+ (* x 2) eps) 1/2)))
1.0ms	x	@	inf	(+ (* (sin x) (- 0 eps)) 0)
1.0ms	eps	@	0	(+ (* (sin x) (- 0 eps)) 0)
1.0ms	x	@	inf	(* (sin (* (+ eps 0) 1/2)) (sin (* (+ (* x 2) eps) 1/2)))

rewrite517.0ms (2.5%)

Memory

11.4MiB live, 719.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 252×	`accelerator-lowering-fma.f32`
6 252×	`accelerator-lowering-fma.f64`
5 424×	`/-lowering-/.f32`
5 424×	`/-lowering-/.f64`
5 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	136
1	224	136
2	2105	136
0	9141	127

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 399

Calls

Call 1

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

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

simplify457.0ms (2.2%)

Memory

-53.7MiB live, 528.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 302×	`accelerator-lowering-fma.f32`
12 302×	`accelerator-lowering-fma.f64`
5 330×	`-lowering-.f32`
5 330×	`-lowering-.f64`
4 550×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	3324
1	1166	3191
2	3108	3146
3	7486	3146
0	8052	2945

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
x
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(* 1/2 eps)
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* 1/2 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 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))
(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))))
(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))))
(* -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)
(* -1/24 (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))))
(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) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (* eps (sin x)))
(* 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 (* 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
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))

Outputs
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
x
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
x
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(fma.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(fma.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #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)))))))))
(fma.f64 x (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/8 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/8 binary64)) (.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))) (sin.f64 x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (.f64 eps #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) eps)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (.f64 (sin.f64 eps) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* -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 x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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) (- (* 1/2 (/ 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)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.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)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (fma.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (+ (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))))
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(cos (+ eps x))
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(cos (- eps (* -1 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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eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 eps (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 eps (/.f64 x x) x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
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eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
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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) (- 1/24 (* 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)))))
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(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
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(* 1/24 (pow x 4))
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(- (* -1/2 (* eps (cos x))) (sin x))
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(* -1/2 (* eps (cos x)))
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(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
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(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
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(* -1/2 (* eps (cos x)))
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(- (* -1/2 (* eps (cos x))) (sin x))
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(* -1/2 (* eps (cos x)))
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(* -1/2 (* eps (cos x)))
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(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
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(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
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(* -1/2 (* eps (cos x)))
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(* -1/2 (* eps (cos x)))
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(* -1/2 (* eps (cos x)))
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(* -1/2 (* eps (cos x)))
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1
#s(literal 1 binary64)
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(* 1/2 (* eps (sin x)))
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(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
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(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
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(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
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(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
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(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
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(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.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))
(fma.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #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))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.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 (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(fma.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -2 binary64)) (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (* -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))))))
(fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (.f64 (.f64 eps (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) x)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x)) (sin.f64 x))))

eval255.0ms (1.3%)

Memory: 23.0MiB live, 411.5MiB allocated
Compiler: Compiled 54 830 to 4 834 computations (91.2% saved)

prune253.0ms (1.2%)

Memory

19.4MiB live, 455.0MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1 755	29	1 784
Fresh	2	4	6
Picked	4	1	5
Done	1	0	1
Total	1 762	34	1 796

Accuracy

100.0%

Counts

1 796 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(fma.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) eps (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
	77.6%	(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
	49.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	97.0%	(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
	84.1%	(/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))) eps)
	68.8%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
	49.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (cos.f64 x))
	47.0%	(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	77.4%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	46.2%	(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
▶	45.9%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	99.6%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	98.7%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
	40.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	77.6%	(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
	77.6%	(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	96.1%	(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
▶	99.1%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
▶	96.9%	(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	98.7%	(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
	97.4%	(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
	97.7%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	96.2%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	98.5%	(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
	47.3%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	78.5%	(neg.f64 (*.f64 (sin.f64 x) eps))

Compiler

Compiled 1 112 to 742 computations (33.3% saved)

simplify364.0ms (1.8%)

Memory

-5.3MiB live, 555.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) eps)
✓	cost-diff	0	(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))
✓	cost-diff	512	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	-64	(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	cost-diff	0	(fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
✓	cost-diff	192	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	704	(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))

Rules

13 090×	`accelerator-lowering-fma.f32`
13 090×	`accelerator-lowering-fma.f64`
4 518×	`-lowering-.f32`
4 518×	`-lowering-.f64`
2 276×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	331
1	136	289
2	442	286
3	1437	286
4	3121	286
5	3792	286
6	5443	286
7	7429	286
0	8240	263

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))) -2)
(* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))
(sin (* (+ eps 0) 1/2))
(* (+ eps 0) 1/2)
(+ eps 0)
eps
0
1/2
(+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))
(sin (+ (* eps 1/2) 0))
(+ (* eps 1/2) 0)
(cos (* (* x 2) 1/2))
(* (* x 2) 1/2)
(* x 2)
x
2
(* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))
(cos (+ (* eps 1/2) 0))
(sin (* (* x 2) 1/2))
-2
(+ 1 -1)
1
-1
(* eps (+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1))))
eps
(+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1)))
-1/2
(* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1))
x
(+ (* x (+ (* eps 1/4) (* x 1/6))) -1)
(+ (* eps 1/4) (* x 1/6))
1/4
(* x 1/6)
1/6
-1
(* (* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2))) -2)
(* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2)))
(* 1/2 eps)
1/2
eps
(sin (* (+ (* x 2) eps) 1/2))
(* (+ (* x 2) eps) 1/2)
(+ (* x 2) eps)
x
2
-2
(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
eps
(+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(* -1/2 (cos x))
-1/2
(cos x)
x
(* (sin x) (+ (* eps (* eps 1/6)) -1))
(sin x)
(+ (* eps (* eps 1/6)) -1)
(* eps 1/6)
1/6
-1

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

localize180.0ms (0.9%)

Memory

-31.9MiB live, 261.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.9%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓	accuracy	99.4%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) eps)
✓	accuracy	100.0%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	accuracy	99.8%	(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	accuracy	99.5%	(fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))))

Samples

88.0ms	254×	0	valid
1.0ms	2×	1	exit

Compiler

Compiled 338 to 55 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 34.0ms (53.4% of total)

ival-add: 11.0ms (17.3% of total)

ival-sin: 8.0ms (12.6% of total)

ival-cos: 5.0ms (7.8% of total)

const: 4.0ms (6.3% 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)

series38.0ms (0.2%)

Memory

2.1MiB live, 42.2MiB allocated

Counts

25 → 480

Calls

Call 1

Inputs
#<alt (* (* x 2) 1/2)>
#<alt (+ eps 0)>
#<alt (* (* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))) -2)>
#<alt (* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))>
#<alt (+ 1 -1)>
#<alt (+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1)))>
#<alt (+ (* x (+ (* eps 1/4) (* x 1/6))) -1)>
#<alt (+ (* eps 1/4) (* x 1/6))>
#<alt (* eps (+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1))))>
#<alt (* (* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2))) -2)>
#<alt (* (+ (* x 2) eps) 1/2)>
#<alt (sin (* (+ (* x 2) eps) 1/2))>
#<alt (+ (* x 2) eps)>
#<alt (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))>
#<alt (cos x)>
#<alt (sin x)>
#<alt (+ (* eps (* eps 1/6)) -1)>
#<alt (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))>
#<alt (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))>
#<alt (* x 1/6)>
#<alt (* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2)))>
#<alt (* 1/2 eps)>
#<alt (* eps 1/6)>
#<alt (* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))>
#<alt (* (sin x) (+ (* eps (* eps 1/6)) -1))>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* -1 (* 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* x (- (* 1/6 (pow x 2)) 1))>
#<alt (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (- (* 1/4 (pow x 2)) 1/2))>
#<alt (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1 x) (* -1/2 eps))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))>
#<alt -1>
#<alt (- (* 1/4 (* eps x)) 1)>
#<alt (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)>
#<alt (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)>
#<alt (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)>
#<alt (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)>
#<alt (* 1/4 (* eps x))>
#<alt (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))>
#<alt (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))>
#<alt (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))>
#<alt (* 1/4 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))>
#<alt (* 1/6 x)>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (* 1/4 eps)>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* 1/4 eps)>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* 1/4 eps)>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* 1/6 x)>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))>
#<alt (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))>
#<alt (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))>
#<alt (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))>
#<alt (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))>
#<alt (* -1 (* (pow eps 2) (+ 1/2 (* -1/4 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))>
#<alt (* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))>
#<alt (* 1/6 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))>
#<alt (* 1/6 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/8 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/48 (* eps (cos x))) (* 1/8 (sin x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* x (+ (* 1/6 (* eps (* x (cos (* 1/2 eps))))) (* 1/2 (* eps (sin (* 1/2 eps)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 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 (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 (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 eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 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)>
#<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>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))>
#<alt (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))>
#<alt (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin x)))>
#<alt (+ (* (cos x) (sin (neg (* -1/2 eps)))) (* (cos (neg (* -1/2 eps))) (sin 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 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* -1/8 (* (pow eps 2) (sin x))))>
#<alt (+ (sin x) (* (pow eps 2) (+ (* -1/8 (sin x)) (* 1/384 (* (pow eps 2) (sin x))))))>
#<alt (+ (sin x) (* (pow eps 2) (+ (* -1/8 (sin x)) (* (pow eps 2) (+ (* -1/46080 (* (pow eps 2) (sin x))) (* 1/384 (sin x)))))))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (neg (* -1/2 eps))) (sin x))>
#<alt (* (cos (neg (* -1/2 eps))) (sin x))>
#<alt (* (cos (neg (* -1/2 eps))) (sin x))>
#<alt (* (cos (neg (* -1/2 eps))) (sin x))>
#<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))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* (cos (* 1/2 eps)) (sin x))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* -1/16 (* eps (sin x))) (* 1/4 (cos x))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/96 (* eps (cos x)))))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* 1/2 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (* x (sin (* 1/2 eps))))) (* 1/2 (* eps (cos (* 1/2 eps)))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* 1/2 (* eps (cos (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (sin (* 1/2 eps)))) (* -1/12 (* eps (* x (cos (* 1/2 eps))))))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (- (* 1/6 (pow eps 2)) 1))>
#<alt (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>

Calls

120 calls:

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

rewrite549.0ms (2.7%)

Memory

43.9MiB live, 715.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 568×	`accelerator-lowering-fma.f32`
7 568×	`accelerator-lowering-fma.f64`
4 760×	`-lowering-.f32`
4 760×	`-lowering-.f64`
3 944×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	238
1	261	196
2	2631	196
0	8075	173

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 507

Calls

Call 1

Inputs
(* (* x 2) 1/2)
(+ eps 0)
(* (* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))) -2)
(* (sin (* (+ eps 0) 1/2)) (+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))))
(+ 1 -1)
(+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1)))
(+ (* x (+ (* eps 1/4) (* x 1/6))) -1)
(+ (* eps 1/4) (* x 1/6))
(* eps (+ (* eps -1/2) (* x (+ (* x (+ (* eps 1/4) (* x 1/6))) -1))))
(* (* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2))) -2)
(* (+ (* x 2) eps) 1/2)
(sin (* (+ (* x 2) eps) 1/2))
(+ (* x 2) eps)
(+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(cos x)
(sin x)
(+ (* eps (* eps 1/6)) -1)
(+ (* (sin (+ (* eps 1/2) 0)) (cos (* (* x 2) 1/2))) (* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2))))
(* (cos (+ (* eps 1/2) 0)) (sin (* (* x 2) 1/2)))
(* x 1/6)
(* (* 1/2 eps) (sin (* (+ (* x 2) eps) 1/2)))
(* 1/2 eps)
(* eps 1/6)
(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
(* (sin x) (+ (* eps (* eps 1/6)) -1))

Outputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
eps
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 eps (/.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) eps)))
(fma.f64 eps (/.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(fma.f64 (/.f64 eps eps) eps #s(literal 0 binary64))
(fma.f64 (/.f64 eps (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))))
(/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) eps)
(/.f64 (neg.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) (neg.f64 eps))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) eps) eps))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))) (.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))) eps)) (neg.f64 (-.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))))))
(.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) eps)
(.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) eps))
(.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))))
(.f64 (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) eps) (fma.f64 eps eps #s(literal 0 binary64)))
(.f64 (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))))
(.f64 (/.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x)))))
(fma.f64 eps (*.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))))
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64))) (neg.f64 (sin.f64 x)))
(fma.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) (*.f64 eps (sin.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64))) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) eps) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64))) eps (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 1/6 binary64) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (-.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 x)) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (neg.f64 (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)))) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (sin.f64 x))) (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) eps) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 x))) (neg.f64 (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (sin.f64 x))

simplify520.0ms (2.6%)

Memory

5.4MiB live, 856.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 176×	`accelerator-lowering-fma.f32`
14 176×	`accelerator-lowering-fma.f64`
8 574×	`-lowering-.f32`
8 574×	`-lowering-.f64`
2 754×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	5634
1	1855	5344
2	5876	5291
0	8793	4913

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval350.0ms (1.7%)

Memory: 41.0MiB live, 659.8MiB allocated
Compiler: Compiled 64 165 to 6 122 computations (90.5% saved)

prune288.0ms (1.4%)

Memory

-46.2MiB live, 570.8MiB allocated

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	1 978	28	2 006
Fresh	8	20	28
Picked	4	1	5
Done	0	1	1
Total	1 990	50	2 040

Accuracy

100.0%

Counts

2 040 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
	49.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
	97.0%	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
	96.3%	(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
▶	96.3%	(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
	84.6%	(/.f64 (.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) eps)
	49.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (cos.f64 x))
	47.0%	(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	77.4%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	46.2%	(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
	96.9%	(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
	98.7%	(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
	54.0%	(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	46.2%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	98.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
	40.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	98.1%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
▶	99.8%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	77.6%	(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
	77.6%	(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
	96.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
	96.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
	96.2%	(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
	96.2%	(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
	96.1%	(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
	97.5%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	97.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓	99.1%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	96.7%	(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	98.7%	(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
	97.7%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	96.2%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	96.9%	(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
	42.1%	(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
	27.4%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
	45.8%	(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	96.7%	(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
	47.3%	(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
	47.3%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
▶	78.5%	(neg.f64 (*.f64 (sin.f64 x) eps))
▶	45.9%	#s(literal 0 binary64)

Compiler

Compiled 1 935 to 1 247 computations (35.6% saved)

simplify298.0ms (1.5%)

Memory

-0.2MiB live, 386.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
✓	cost-diff	192	(-.f64 eps (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	512	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))))
✓	cost-diff	-64	(*.f64 (sin.f64 x) eps)
✓	cost-diff	-64	(neg.f64 (*.f64 (sin.f64 x) eps))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	-64	(*.f64 eps eps)
✓	cost-diff	-64	(.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
✓	cost-diff	576	(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
✓	cost-diff	0	(fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.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))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))

Rules

7 668×	`accelerator-lowering-fma.f32`
7 668×	`accelerator-lowering-fma.f64`
4 834×	`-lowering-.f32`
4 834×	`-lowering-.f64`
1 856×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	379
1	134	359
2	309	354
3	714	354
4	1400	352
5	2408	352
6	3474	352
7	5360	352
8	7915	352
0	8504	325

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))) -2)
(* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2)))))
(sin (* eps 1/2))
(* eps 1/2)
eps
1/2
(+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))
(sin x)
x
(cos (* eps 1/2))
(* (cos x) (sin (* eps 1/2)))
(cos x)
-2
0
(+ (* x (* eps (+ (* 1/6 (* eps eps)) -1))) (* -1/2 (* eps eps)))
x
(* eps (+ (* 1/6 (* eps eps)) -1))
eps
(+ (* 1/6 (* eps eps)) -1)
1/6
(* eps eps)
-1
(* -1/2 (* eps eps))
-1/2
(neg (* (sin x) eps))
(* (sin x) eps)
(sin x)
x
eps
(* (* (* 1/2 eps) (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))) -2)
(* (* 1/2 eps) (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2)))
(* 1/2 eps)
1/2
eps
(sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))
(* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2)
(/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0))))
1
(/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))
(+ (* eps (- eps (* x 2))) (* 4 (* x x)))
(- eps (* x 2))
(* x 2)
x
2
(* 4 (* x x))
4
(* x x)
(+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0))
(* x (* x x))
8
(+ (* eps (+ (* eps eps) 0)) 0)
(+ (* eps eps) 0)
0
-2

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

localize169.0ms (0.8%)

Memory

5.7MiB live, 241.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)))))
✓	accuracy	45.2%	(/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(neg.f64 (*.f64 (sin.f64 x) eps))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) eps)
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
✓	accuracy	100.0%	(fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))

Samples

77.0ms

256×

valid

Compiler

Compiled 401 to 52 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 30.0ms (53.7% of total)

ival-add: 7.0ms (12.5% of total)

ival-sin: 5.0ms (8.9% of total)

const: 4.0ms (7.2% of total)

ival-div: 3.0ms (5.4% of total)

ival-cos: 3.0ms (5.4% of total)

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

exact: 1.0ms (1.8% of total)

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

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

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

series27.0ms (0.1%)

Memory

3.5MiB live, 41.3MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (* (* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))) -2)>
#<alt (* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2)))))>
#<alt (sin (* eps 1/2))>
#<alt (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))>
#<alt (+ (* x (* eps (+ (* 1/6 (* eps eps)) -1))) (* -1/2 (* eps eps)))>
#<alt (+ (* 1/6 (* eps eps)) -1)>
#<alt (* eps (+ (* 1/6 (* eps eps)) -1))>
#<alt (* eps eps)>
#<alt (sin x)>
#<alt (neg (* (sin x) eps))>
#<alt (* (sin x) eps)>
#<alt (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0))))>
#<alt (* (* (* 1/2 eps) (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))) -2)>
#<alt (- eps (* x 2))>
#<alt (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))>
#<alt (* (cos x) (sin (* eps 1/2)))>
#<alt (* -1/2 (* eps eps))>
#<alt (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))>
#<alt (+ (* eps (- eps (* x 2))) (* 4 (* x 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))>
#<alt (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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 (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 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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 (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt -1>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* -1 eps)>
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))>
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))>
#<alt (* eps (- (* 1/6 (pow eps 2)) 1))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<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 x))>
#<alt (* x (- (* 1/6 (* eps (pow x 2))) eps))>
#<alt (* x (- (* (pow x 2) (- (* -1/120 (* eps (pow x 2))) (* -1/6 eps))) eps))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* eps (pow x 2))) (* 1/120 eps))) (* -1/6 eps))) eps))>
#<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 (* eps x)>
#<alt (* x (+ eps (* -1/6 (* eps (pow x 2)))))>
#<alt (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))>
#<alt (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* 2 x)>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 2 (/ x eps))))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 4 (pow x 2))) (pow eps 2)))) (* -2 (/ x eps))))>
#<alt (* eps (- (+ 1 (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2)))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (* 4 (/ (pow x 2) eps))) (* -2 x)) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) eps)) (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) eps)) (* -2 x)) eps)) 1)))>
#<alt eps>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (+ eps (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ eps x)))>
#<alt (* x (- (+ 2 (* -1 (/ (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2))) (pow x 2)))) (* -1 (/ eps x))))>
#<alt (* x (- (+ 2 (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) (pow x 3)))) (+ (* -1 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow eps 2) x)) (* 1/2 (/ (pow eps 2) x))) (* -1 eps)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) x)) (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) x)) (* -1 eps)) x)) 2)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/8 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/48 (* eps (cos x))) (* 1/8 (sin x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))>
#<alt (* -1 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* x (+ (* 1/6 (* eps (* x (cos (* 1/2 eps))))) (* 1/2 (* eps (sin (* 1/2 eps)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))>
#<alt (* -2 x)>
#<alt (- eps (* 2 x))>
#<alt (- eps (* 2 x))>
#<alt (- eps (* 2 x))>
#<alt eps>
#<alt (* eps (+ 1 (* -2 (/ x eps))))>
#<alt (* eps (+ 1 (* -2 (/ x eps))))>
#<alt (* eps (+ 1 (* -2 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* 2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* 2 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* 2 (/ x eps)) 1)))>
#<alt eps>
#<alt (+ eps (* -2 x))>
#<alt (+ eps (* -2 x))>
#<alt (+ eps (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (/ eps x) 2))>
#<alt (* x (- (/ eps x) 2))>
#<alt (* x (- (/ eps x) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* -1 (/ eps x)))))>
#<alt (* -1 (* x (+ 2 (* -1 (/ eps x)))))>
#<alt (* -1 (* x (+ 2 (* -1 (/ 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 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))>
#<alt (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))>
#<alt (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))>
#<alt (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))>
#<alt (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 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 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))>
#<alt (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))>
#<alt (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))>
#<alt (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))>
#<alt (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))>
#<alt (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))>
#<alt (+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))>
#<alt (+ (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))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))>
#<alt (* 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))))))))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* (cos x) (sin (* 1/2 eps)))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* -1/2 (pow eps 2))>
#<alt (/ 1/2 x)>
#<alt (+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -2 (/ x eps))) eps)>
#<alt (/ (+ 1 (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2))))) eps)>
#<alt (/ (+ 1 (+ (* -8 (/ (pow x 3) (pow eps 3))) (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2)))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* 2 (/ x eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 2) eps))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 8 (/ (pow x 3) eps))) eps))) eps)) 1) eps))>
#<alt (/ 1 eps)>
#<alt (+ (* -2 (/ x (pow eps 2))) (/ 1 eps))>
#<alt (+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))>
#<alt (+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/4 (/ eps x))) x)>
#<alt (/ (+ 1/2 (+ (* -1/4 (/ eps x)) (* 1/8 (/ (pow eps 2) (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (* -1/4 (/ eps x)) (+ (* -1/16 (/ (pow eps 3) (pow x 3))) (* 1/8 (/ (pow eps 2) (pow x 2)))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/4 eps) (* 1/8 (/ (pow eps 2) x))) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow eps 2)) (* 1/16 (/ (pow eps 3) x))) x)) (* -1/4 eps)) x)) 1/2) x))>
#<alt (* 4 (pow x 2))>
#<alt (+ (* -2 (* eps x)) (* 4 (pow x 2)))>
#<alt (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))>
#<alt (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -2 (/ x eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))>
#<alt (pow eps 2)>
#<alt (+ (* -2 (* eps x)) (pow eps 2))>
#<alt (+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))>
#<alt (+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -2 (/ eps x))))>
#<alt (* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -2 (/ eps x))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 eps)) x))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 eps)) x))))>

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(+ (* x (* eps (+ (* 1/6 (* eps eps)) -1))) (* -1/2 (* eps eps)))
1.0ms	eps	@	0	(/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))
1.0ms	eps	@	0	(/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0))))
1.0ms	eps	@	-inf	(* (* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))) -2)
1.0ms	eps	@	inf	(* (* (* 1/2 eps) (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))) -2)

rewrite559.0ms (2.7%)

Memory

-27.9MiB live, 887.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 286×	`accelerator-lowering-fma.f32`
10 286×	`accelerator-lowering-fma.f64`
4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
3 360×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	252
1	252	211
2	2066	211
0	8315	189

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 650

Calls

Call 1

Inputs
(* (* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))) -2)
(* (sin (* eps 1/2)) (+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2)))))
(sin (* eps 1/2))
(+ (* (sin x) (cos (* eps 1/2))) (* (cos x) (sin (* eps 1/2))))
(+ (* x (* eps (+ (* 1/6 (* eps eps)) -1))) (* -1/2 (* eps eps)))
(+ (* 1/6 (* eps eps)) -1)
(* eps (+ (* 1/6 (* eps eps)) -1))
(* eps eps)
(sin x)
(neg (* (sin x) eps))
(* (sin x) eps)
(/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0))))
(* (* (* 1/2 eps) (sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))) -2)
(- eps (* x 2))
(sin (* (/ 1 (/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))) 1/2))
(* (cos x) (sin (* eps 1/2)))
(* -1/2 (* eps eps))
(/ (+ (* eps (- eps (* x 2))) (* 4 (* x x))) (+ (* (* x (* x x)) 8) (+ (* eps (+ (* eps eps) 0)) 0)))
(+ (* eps (- eps (* x 2))) (* 4 (* x x)))

Outputs
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 #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 1/2 binary64)))))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 #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 1/2 binary64)))))))))
(fma.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (.f64 #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 1/2 binary64)))))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (-.f64 (.f64 (.f64 #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 1/2 binary64)))))))) (.f64 #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 1/2 binary64))))))))) (.f64 (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 #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 1/2 binary64))))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.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 1/2 binary64))))))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (-.f64 (.f64 (.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 1/2 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 1/2 binary64))))))) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))) #s(literal -2 binary64))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)))
(.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (.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))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(.f64 (.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(+.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 1/2 binary64))))))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 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 1/2 binary64))))))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))))
(fma.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 x) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))))
(fma.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 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 1/2 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))) (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (fma.f64 x #s(literal -2 binary64) eps) (.f64 eps (.f64 #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (fma.f64 x #s(literal -2 binary64) eps) (.f64 eps (.f64 #s(literal 4 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x))))) (neg.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))))) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)))) (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (fma.f64 x #s(literal -2 binary64) eps))) (.f64 (.f64 eps (fma.f64 x #s(literal -2 binary64) eps)) (*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))))))
(.f64 (.f64 (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x #s(literal -2 binary64) eps) (.f64 #s(literal -4 binary64) (.f64 x x)))))

simplify387.0ms (1.9%)

Memory

41.1MiB live, 511.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 888×	`accelerator-lowering-fma.f32`
7 888×	`accelerator-lowering-fma.f64`
6 102×	`-lowering-.f32`
6 102×	`-lowering-.f64`
2 064×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	4890
1	1918	4724
2	5727	4688
0	8119	4361

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x))))
(* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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))
(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)))))))))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin 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))))))))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* 1/6 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
-1
(- (* 1/6 (pow eps 2)) 1)
(- (* 1/6 (pow eps 2)) 1)
(- (* 1/6 (pow eps 2)) 1)
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* -1 eps)
(* eps (- (* 1/6 (pow eps 2)) 1))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* 1/6 (pow eps 3))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 3))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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))
(* x (- (* 1/6 (* eps (pow x 2))) eps))
(* x (- (* (pow x 2) (- (* -1/120 (* eps (pow x 2))) (* -1/6 eps))) eps))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* eps (pow x 2))) (* 1/120 eps))) (* -1/6 eps))) eps))
(* -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)))
(* eps x)
(* x (+ eps (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* 2 x)
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (- (+ 1 (* -1 (/ (+ (* -4 (pow x 2)) (* 4 (pow x 2))) (pow eps 2)))) (* -2 (/ x eps))))
(* eps (- (+ 1 (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))) (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2)))))))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (* 4 (/ (pow x 2) eps))) (* -2 x)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* x (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) eps)) (+ (* -4 (pow x 2)) (* 4 (pow x 2)))) eps)) (* -2 x)) eps)) 1)))
eps
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* x (- (+ 2 (* -1 (/ (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2))) (pow x 2)))) (* -1 (/ eps x))))
(* x (- (+ 2 (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) (pow x 3)))) (+ (* -1 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* 2 x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (/ (pow eps 2) x)) (* 1/2 (/ (pow eps 2) x))) (* -1 eps)) x)) 2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* eps (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) x)) (+ (* -1/2 (pow eps 2)) (* 1/2 (pow eps 2)))) x)) (* -1 eps)) x)) 2)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/8 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/48 (* eps (cos x))) (* 1/8 (sin x))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(* -1 (* eps (sin (* 1/2 eps))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* x (+ (* 1/6 (* eps (* x (cos (* 1/2 eps))))) (* 1/2 (* eps (sin (* 1/2 eps)))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(* -2 x)
(- eps (* 2 x))
(- eps (* 2 x))
(- eps (* 2 x))
eps
(* eps (+ 1 (* -2 (/ x eps))))
(* eps (+ 1 (* -2 (/ x eps))))
(* eps (+ 1 (* -2 (/ x eps))))
eps
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
eps
(+ eps (* -2 x))
(+ eps (* -2 x))
(+ eps (* -2 x))
(* -2 x)
(* x (- (/ eps x) 2))
(* x (- (/ eps x) 2))
(* x (- (/ eps x) 2))
(* -2 x)
(* -1 (* x (+ 2 (* -1 (/ eps x)))))
(* -1 (* x (+ 2 (* -1 (/ eps x)))))
(* -1 (* x (+ 2 (* -1 (/ 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 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 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 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(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)))
(* 1/2 (* 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)))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(* -1/2 (pow eps 2))
(/ 1/2 x)
(+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))
(+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(/ 1 eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/ (+ 1 (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2))))) eps)
(/ (+ 1 (+ (* -8 (/ (pow x 3) (pow eps 3))) (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 2) eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 8 (/ (pow x 3) eps))) eps))) eps)) 1) eps))
(/ 1 eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))
(+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))
(/ 1/2 x)
(/ (+ 1/2 (* -1/4 (/ eps x))) x)
(/ (+ 1/2 (+ (* -1/4 (/ eps x)) (* 1/8 (/ (pow eps 2) (pow x 2))))) x)
(/ (+ 1/2 (+ (* -1/4 (/ eps x)) (+ (* -1/16 (/ (pow eps 3) (pow x 3))) (* 1/8 (/ (pow eps 2) (pow x 2)))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 eps) (* 1/8 (/ (pow eps 2) x))) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow eps 2)) (* 1/16 (/ (pow eps 3) x))) x)) (* -1/4 eps)) x)) 1/2) x))
(* 4 (pow x 2))
(+ (* -2 (* eps x)) (* 4 (pow x 2)))
(+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))
(+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(pow eps 2)
(+ (* -2 (* eps x)) (pow eps 2))
(+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))
(+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps x))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* -2 (/ eps x))))
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 eps)) x))))
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 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 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 0 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 (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(* -2 (* (sin (* 1/2 eps)) (+ (* (cos x) (sin (* 1/2 eps))) (* (cos (* 1/2 eps)) (sin x)))))
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(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (fma.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) eps) (fma.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (*.f64 x x))))
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(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
(.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))))))
(* -1 (* eps (sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))))
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(* -2 x)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(- eps (* 2 x))
(fma.f64 x #s(literal -2 binary64) eps)
(- eps (* 2 x))
(fma.f64 x #s(literal -2 binary64) eps)
(- eps (* 2 x))
(fma.f64 x #s(literal -2 binary64) eps)
eps
(* eps (+ 1 (* -2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* eps (+ 1 (* -2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* eps (+ 1 (* -2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(* -1 (* eps (- (* 2 (/ x eps)) 1)))
(*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(+ eps (* -2 x))
(fma.f64 x #s(literal -2 binary64) eps)
(+ eps (* -2 x))
(fma.f64 x #s(literal -2 binary64) eps)
(+ eps (* -2 x))
(fma.f64 x #s(literal -2 binary64) eps)
(* -2 x)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(* x (- (/ eps x) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(* x (- (/ eps x) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(* x (- (/ eps x) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(* -2 x)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(* -1 (* x (+ 2 (* -1 (/ eps x)))))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(* -1 (* x (+ 2 (* -1 (/ eps x)))))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(* -1 (* x (+ 2 (* -1 (/ eps x)))))
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
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(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
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(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
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(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (- (+ (* 4 (pow x 2)) (pow eps 2)) (* 2 (* eps x))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
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(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
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(sin (* 1/2 (/ (- (* 8 (pow x 3)) (* -1 (pow eps 3))) (+ (* -2 (* eps x)) (+ (* 4 (pow x 2)) (pow eps 2))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
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(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(fma.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #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)))))))))
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(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (+ (* 8 (pow x 3)) (pow eps 3)) (+ (* 4 (pow x 2)) (* eps (- eps (* 2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 (/ (- (pow eps 3) (* -8 (pow x 3))) (+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x)))))))
(sin.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (.f64 eps eps)))) (fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (*.f64 x #s(literal 4 binary64)))))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))
(fma.f64 (.f64 x x) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+ (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))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* 1/2 (* eps (cos x)))
(.f64 eps (.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))
(.f64 eps (.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))
(* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))
(.f64 eps (fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(* 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))))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)))))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* (cos x) (sin (* 1/2 eps)))
(.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* -1/4 (/ eps (pow x 2))) (* 1/2 (/ 1 x)))
(fma.f64 eps (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(+ (* eps (- (* 1/8 (/ eps (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(fma.f64 eps (fma.f64 eps (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(+ (* eps (- (* eps (+ (* -1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/16 binary64) (/.f64 eps (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (* -2 (/ x eps))) eps)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)) eps)
(/ (+ 1 (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2))))) eps)
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))) eps)
(/ (+ 1 (+ (* -8 (/ (pow x 3) (pow eps 3))) (+ (* -2 (/ x eps)) (* 4 (/ (pow x 2) (pow eps 2)))))) eps)
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -8 binary64) (.f64 eps (.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* 2 (/ x eps)) 1) eps))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (+ (* -2 x) (* 4 (/ (pow x 2) eps))) eps)) 1) eps))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) eps) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))) eps)) eps))
(* -1 (/ (- (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -4 (pow x 2)) (* 8 (/ (pow x 3) eps))) eps))) eps)) 1) eps))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -4 binary64)) (.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) eps))) eps)) eps)) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* -2 (/ x (pow eps 2))) (/ 1 eps))
(fma.f64 #s(literal -2 binary64) (/.f64 x (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps))
(+ (* x (- (* 4 (/ x (pow eps 3))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 4 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))
(+ (* x (- (* x (+ (* -8 (/ x (pow eps 4))) (* 4 (/ 1 (pow eps 3))))) (* 2 (/ 1 (pow eps 2))))) (/ 1 eps))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 x (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 4 binary64) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -2 binary64) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/4 (/ eps x))) x)
(/.f64 (fma.f64 eps (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (+ (* -1/4 (/ eps x)) (* 1/8 (/ (pow eps 2) (pow x 2))))) x)
(/.f64 (fma.f64 eps (/.f64 #s(literal -1/4 binary64) x) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) x)
(/ (+ 1/2 (+ (* -1/4 (/ eps x)) (+ (* -1/16 (/ (pow eps 3) (pow x 3))) (* 1/8 (/ (pow eps 2) (pow x 2)))))) x)
(/.f64 (+.f64 (fma.f64 eps (/.f64 #s(literal -1/4 binary64) x) (fma.f64 (.f64 eps (/.f64 eps (.f64 x x))) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 eps eps))) (.f64 x (*.f64 x x)))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/4 (/ eps x)) 1/2) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 eps x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/4 eps) (* 1/8 (/ (pow eps 2) x))) x)) 1/2) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 eps #s(literal -1/4 binary64) (.f64 (.f64 eps (/.f64 eps x)) #s(literal 1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow eps 2)) (* 1/16 (/ (pow eps 3) x))) x)) (* -1/4 eps)) x)) 1/2) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (.f64 eps eps)) x) (.f64 (*.f64 eps eps) #s(literal -1/8 binary64))) x)) x)) x))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(+ (* -2 (* eps x)) (* 4 (pow x 2)))
(.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64))))
(+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))
(fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64)))))
(+ (* 4 (pow x 2)) (* eps (+ eps (* -2 x))))
(fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64)))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))) eps) eps)
(* (pow eps 2) (- (+ 1 (* 4 (/ (pow x 2) (pow eps 2)))) (* 2 (/ x eps))))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -2 (/ x eps))))
(.f64 eps (.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 x x) eps))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -4 (/ (pow x 2) eps)) (* 2 x)) eps))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 (.f64 x x) eps))) eps)))
(pow eps 2)
(*.f64 eps eps)
(+ (* -2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))
(+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))
(fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64)))))
(+ (* x (+ (* -2 eps) (* 4 x))) (pow eps 2))
(fma.f64 eps eps (.f64 x (fma.f64 eps #s(literal -2 binary64) (.f64 x #s(literal 4 binary64)))))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* -2 (/ eps x))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 eps x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(.f64 x (.f64 x (fma.f64 eps (/.f64 eps (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 eps x) #s(literal 4 binary64)))))
(* (pow x 2) (+ 4 (+ (* -2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(.f64 x (.f64 x (fma.f64 eps (/.f64 eps (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 eps x) #s(literal 4 binary64)))))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* -2 (/ eps x))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 eps x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 eps)) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 eps (/.f64 eps x))) x)))
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -1 (/ (pow eps 2) x)) (* 2 eps)) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 eps #s(literal -2 binary64) (*.f64 eps (/.f64 eps x))) x)))

eval225.0ms (1.1%)

Memory: 7.8MiB live, 237.7MiB allocated
Compiler: Compiled 46 486 to 4 120 computations (91.1% saved)

prune322.0ms (1.6%)

Memory

11.6MiB live, 277.2MiB allocated

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	1 150	8	1 158
Fresh	6	37	43
Picked	2	3	5
Done	0	2	2
Total	1 158	50	1 208

Accuracy

100.0%

Counts

1 208 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
	97.0%	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
	96.3%	(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
✓	96.3%	(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
	47.4%	(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
	84.6%	(/.f64 (.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) eps)
	47.0%	(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	46.2%	(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
	96.9%	(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
	98.7%	(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
	54.0%	(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	98.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	98.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	99.5%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
	40.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	98.1%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
	99.2%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
	77.6%	(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
	45.8%	(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
	96.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
	96.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
	96.2%	(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
	96.1%	(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
	96.2%	(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
	97.5%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓	99.1%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	96.7%	(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	98.7%	(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
	97.7%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	96.2%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	96.9%	(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
	42.1%	(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
	27.4%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
	77.4%	(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
	45.8%	(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
	96.7%	(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
	47.3%	(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
	47.3%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	77.6%	(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
✓	78.5%	(neg.f64 (*.f64 (sin.f64 x) eps))
	77.4%	(neg.f64 (*.f64 x eps))
✓	45.9%	#s(literal 0 binary64)

Compiler

Compiled 2 223 to 981 computations (55.9% saved)

regimes109.0ms (0.5%)

Memory

5.8MiB live, 86.1MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))
(fma.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) eps (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))) eps)
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) eps)
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (cos.f64 x))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (cos.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))) (sin.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

45.0ms	x
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.0ms	eps

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)

regimes123.0ms (0.6%)

Memory

-26.7MiB live, 90.9MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))
(fma.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) eps (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))) eps)
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) eps)
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (cos.f64 x))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (fma.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

32.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
29.0ms	eps
18.0ms	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)

regimes79.0ms (0.4%)

Memory

-30.4MiB live, 85.9MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 eps (fma.f64 eps eps #s(literal 0 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64) (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x)))
(fma.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) eps (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 0 binary64)) (sin.f64 x))) eps)
(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) eps)
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64)))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

41.0ms	eps
20.0ms	x
14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes120.0ms (0.6%)

Memory

15.9MiB live, 94.1MiB allocated

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

89.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
15.0ms	x
14.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.2%)

Memory

12.3MiB live, 92.8MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))))

Outputs

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

Calls

3 calls:

14.0ms	x
13.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes38.0ms (0.2%)

Memory

-15.7MiB live, 62.4MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 eps (-.f64 (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (sin.f64 x)) eps)
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))

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

Calls

3 calls:

13.0ms	eps
12.0ms	x
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-7.2MiB live, 34.9MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))

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

Calls

3 calls:

14.0ms	x
10.0ms	eps
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`eps`
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.2%)

Memory

-5.6MiB live, 33.9MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/4 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))) (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(neg.f64 (*.f64 (sin.f64 x) eps))
(fma.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))

Outputs

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

Calls

3 calls:

21.0ms	x
10.0ms	eps
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.1%)

Memory

6.5MiB live, 44.9MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1 binary64)) eps) #s(literal -1/2 binary64)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 eps #s(literal 1/4 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))

Outputs
(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 eps #s(literal 1/4 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) eps)) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))

Calls

3 calls:

10.0ms	x
9.0ms	eps
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

9.9MiB live, 48.2MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))
(.f64 eps (+.f64 (fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 x x))) (neg.f64 x)))
(.f64 eps (fma.f64 x (fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (.f64 x eps) (.f64 eps (fma.f64 eps #s(literal -1/2 binary64) #s(literal 0 binary64))))

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

Calls

3 calls:

9.0ms	x
8.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory

0.8MiB live, 41.5MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(neg.f64 (*.f64 x eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 eps (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(.f64 eps (.f64 x (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) eps))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(.f64 eps (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) (.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(neg.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 x (-.f64 (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) eps))

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

Calls

3 calls:

9.0ms	eps
7.0ms	x
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

2.4MiB live, 41.8MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

1.6MiB live, 40.6MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

4.2MiB live, 41.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (-.f64 #s(literal 0 binary64) eps) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))

Calls

3 calls:

7.0ms	eps
5.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`eps`
96.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-20.9MiB live, 25.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.2%	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
77.4%	1	`x`
77.4%	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-24.0MiB live, 15.8MiB 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

3 calls:

2.0ms	x
1.0ms	eps
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
45.9%	1	`x`
45.9%	1	`eps`
45.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify16.0ms (0.1%)

Memory

2.6MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

106×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-mul-1_binary64`
14×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	288
1	174	288
2	194	288
3	210	288
4	218	288
5	221	288
6	222	288

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (8.5%)

Memory

48.0MiB live, 1 073.4MiB allocated

Rules

14 176×	`accelerator-lowering-fma.f32`
14 176×	`accelerator-lowering-fma.f64`
14 158×	`accelerator-lowering-fma.f32`
14 158×	`accelerator-lowering-fma.f64`
12 302×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	238
1	261	196
2	2631	196
0	8075	173
0	606	4890
1	1918	4724
2	5727	4688
0	8119	4361
0	570	5634
1	1855	5344
2	5876	5291
0	8793	4913
0	105	498
1	277	495
2	609	495
3	2398	494
4	7880	494
0	8026	474
0	6	16
1	50	16
2	376	16
3	4688	16
0	8201	16
0	386	3324
1	1166	3191
2	3108	3146
3	7486	3146
0	8052	2945
0	40	136
1	224	136
2	2105	136
0	9141	127

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 800 to 459 computations (42.6% saved)

preprocess162.0ms (0.8%)

Memory: -18.0MiB live, 208.6MiB allocated
Compiler: Compiled 674 to 278 computations (58.8% 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	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

analyze48.0ms (0.2%)

sample9.7s (47.8%)

preprocess29.0ms (0.1%)

explain187.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0%)

localize77.0ms (0.4%)

series4.0ms (0%)

rewrite330.0ms (1.6%)

simplify617.0ms (3%)

eval41.0ms (0.2%)

prune43.0ms (0.2%)

simplify510.0ms (2.5%)

localize283.0ms (1.4%)

series30.0ms (0.1%)

rewrite517.0ms (2.5%)

simplify457.0ms (2.2%)

eval255.0ms (1.3%)

prune253.0ms (1.2%)

simplify364.0ms (1.8%)

localize180.0ms (0.9%)

series38.0ms (0.2%)

rewrite549.0ms (2.7%)

simplify520.0ms (2.6%)

eval350.0ms (1.7%)

prune288.0ms (1.4%)

simplify298.0ms (1.5%)

localize169.0ms (0.8%)

series27.0ms (0.1%)

rewrite559.0ms (2.7%)

simplify387.0ms (1.9%)

eval225.0ms (1.1%)

prune322.0ms (1.6%)

regimes109.0ms (0.5%)

regimes123.0ms (0.6%)

regimes79.0ms (0.4%)

regimes120.0ms (0.6%)

regimes42.0ms (0.2%)

regimes38.0ms (0.2%)

regimes34.0ms (0.2%)

regimes41.0ms (0.2%)

regimes27.0ms (0.1%)

regimes24.0ms (0.1%)

regimes24.0ms (0.1%)

regimes20.0ms (0.1%)

regimes20.0ms (0.1%)

regimes17.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

simplify16.0ms (0.1%)

soundness1.7s (8.5%)

preprocess162.0ms (0.8%)

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