Metrics for 2sin (example 3.3)

analyze42.0ms (0.3%)

Memory

-11.5MiB live, 63.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.3s (42.5%)

Memory

-202.3MiB live, 7 121.7MiB allocated

Samples

3.1s	26 270×	0	invalid
620.0ms	5 544×	0	valid
443.0ms	2 712×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

const: 690.0ms (24.4% of total)

ival-sin: 595.0ms (21% of total)

ival-<=: 268.0ms (9.5% of total)

ival-mult: 248.0ms (8.8% of total)

ival-add: 226.0ms (8% of total)

ival-fabs: 226.0ms (8% of total)

ival-sub: 192.0ms (6.8% of total)

ival-<: 161.0ms (5.7% of total)

ival-and: 96.0ms (3.4% of total)

adjust: 71.0ms (2.5% of total)

exact: 43.0ms (1.5% of total)

ival-assert: 14.0ms (0.5% of total)

Bogosity

preprocess27.0ms (0.2%)

Memory

14.1MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`cancel-sign-sub-inv`
64×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

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

explain90.0ms (0.6%)

Memory

-6.1MiB live, 196.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
224	3	(2.661209049171987e-232 7.518694173604587e-235)	6	(-9.043572617875689e-142 1.0328773007431613e-143)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
4	0	-	1	(-56.77223711761131 5.564105210747381e-14)	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	221	7
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	218	6
-	3	29

Precision

0.9864253393665159

Recall

0.9732142857142857

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	218	6	0
-	3	1	28

Precision?

0.9824561403508771

Recall?

1.0

Freqs

test

number	freq
0	35
1	218
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms	344×	0	valid
17.0ms	166×	1	valid
4.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 14.0ms (60.4% of total)

adjust: 3.0ms (12.9% of total)

ival-add: 3.0ms (12.9% of total)

ival-sub: 3.0ms (12.9% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

-26.1MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

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

localize26.0ms (0.2%)

Memory

-0.6MiB live, 41.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.7%	(sin.f64 (+.f64 x eps))
✓	accuracy	64.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Samples

10.0ms	83×	1	valid
8.0ms	172×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (55% of total)

adjust: 2.0ms (18.3% of total)

ival-add: 2.0ms (18.3% of total)

ival-sub: 1.0ms (9.2% of total)

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

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

series4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (sin.f64 x)>
#<alt (+.f64 x eps)>

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

Calls

21 calls:

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

rewrite287.0ms (1.9%)

Memory

23.8MiB live, 448.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 986×	`lower-fma.f64`
4 986×	`lower-fma.f32`
4 676×	`lower-*.f64`
4 676×	`lower-*.f32`
2 176×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	53	16
2	380	16
3	4766	16
0	8210	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 214

Calls

Call 1

Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(sin.f64 x)
(+.f64 x eps)

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

simplify466.0ms (3.1%)

Memory

12.9MiB live, 445.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 678×	`lower-fma.f64`
16 678×	`lower-fma.f32`
4 132×	`lower-*.f64`
4 132×	`lower-*.f32`
2 614×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	496
1	314	496
2	774	489
3	2838	489
4	6150	489
0	8095	458

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 77

Calls

Call 1

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

Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(-.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (cos.f64 eps))) x)
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(-.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x)
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (cos eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 x (cos.f64 eps)))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps) (.f64 (cos.f64 eps) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin x)
(sin.f64 x)
(+ (sin x) (* eps (cos x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 eps (cos.f64 x)))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 (cos.f64 x) (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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)) (.f64 x (.f64 x x)) 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)
(sin x)
(sin.f64 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)

simplify53.0ms (0.4%)

Memory

-14.7MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	6691
1	618	6691
0	618	6691

Stop Event

1×	saturated
1×	saturated

Counts

214 → 0

Calls

Call 1

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

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

eval14.0ms (0.1%)

Memory: 19.6MiB live, 19.6MiB allocated
Compiler: Compiled 1 344 to 79 computations (94.1% saved)

prune10.0ms (0.1%)

Memory

-18.8MiB live, 20.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	146	8	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Accuracy

99.9%

Counts

155 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
▶	62.1%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
▶	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	99.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	98.4%	(*.f64 eps (cos.f64 x))
▶	97.2%	(sin.f64 eps)

Compiler

Compiled 259 to 162 computations (37.5% saved)

simplify335.0ms (2.3%)

Memory

-3.1MiB live, 401.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

16 260×	`lower-fma.f32`
16 244×	`lower-fma.f64`
2 988×	`lower-*.f32`
2 966×	`lower-*.f64`
2 066×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	273
0	67	267
1	143	265
2	318	265
3	815	265
4	2507	265
5	4832	265
6	6328	265
7	7517	265
8	7967	265
0	8086	259

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize161.0ms (1.1%)

Memory

34.5MiB live, 188.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	accuracy	100.0%	(fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(sin.f64 (+.f64 x eps))
✓	accuracy	64.9%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
✓	accuracy	100.0%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
✓	accuracy	99.7%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	65.0%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)
✓	accuracy	100.0%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))

Samples

52.0ms	82×	1	valid
51.0ms	172×	0	valid
1.0ms	1×	5	exit
1.0ms	1×	3	valid

Compiler

Compiled 302 to 43 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 34.0ms (42.4% of total)

const: 16.0ms (20% of total)

ival-add: 12.0ms (15% of total)

adjust: 7.0ms (8.7% of total)

ival-sin: 5.0ms (6.2% of total)

ival-sub: 3.0ms (3.7% of total)

ival-cos: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-21.9MiB live, 20.6MiB allocated

Counts

15 → 276

Calls

Call 1

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

Outputs
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))>
#<alt (* 1/24 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))))>
#<alt (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/5040 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* 1/24 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))>
#<alt (* 1/24 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))>
#<alt (- (sin x) (+ x (* -1/6 (pow x 3))))>
#<alt (- (+ (sin x) (* eps (cos x))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (cos eps)))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))>
#<alt (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin (- eps (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* eps (cos x)))>
#<alt (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))>
#<alt (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (+ eps x))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt (sin (- x (* -1 eps)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (- (sin x) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (+ (sin x) (* eps (cos x))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))>
#<alt (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))>
#<alt (* -1/6 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* -1/6 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* (cos x) (+ 1 (* -1/6 (pow eps 2))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(* eps -1/6)
3.0ms	eps	@	0	(+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))
2.0ms	x	@	inf	(* eps (+ (* (+ (* eps (* eps -1/6)) 1) (cos x)) (* (* (sin x) (+ (* eps (* eps 1/24)) -1/2)) eps)))
1.0ms	x	@	-inf	(* eps (+ (* (+ (* eps (* eps -1/6)) 1) (cos x)) (* (* (sin x) (+ (* eps (* eps 1/24)) -1/2)) eps)))
1.0ms	eps	@	inf	(- (sin (+ x eps)) (+ (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) (* x (* x x))) x))

rewrite421.0ms (2.8%)

Memory

-17.4MiB live, 466.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 022×	`lower-fma.f32`
6 006×	`lower-fma.f64`
5 088×	`lower-*.f32`
5 066×	`lower-*.f64`
3 770×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	158
0	67	152
1	276	150
2	2161	150
0	9055	148

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 372

Calls

Call 1

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

Outputs
(*.f64 eps #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(+.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps)))))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 eps (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) eps (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (.f64 eps (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) eps) (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps))))))
(.f64 eps (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps)
(+.f64 (.f64 eps (.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 eps (sin.f64 x)))) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 eps (sin.f64 x))) eps) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
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(fma.f64 (.f64 eps (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps))))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)))) (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 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))))
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(/.f64 (neg.f64 (.f64 eps (-.f64 (.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 #s(literal 2 binary64) x))))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (-.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64))) eps)) (neg.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 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.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 #s(literal 2 binary64) x))))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (-.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
(.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))) eps)
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)) (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)) (cos.f64 x))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))

simplify389.0ms (2.6%)

Memory

19.9MiB live, 495.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 704×	`lower-fma.f64`
12 704×	`lower-fma.f32`
6 646×	`lower-*.f64`
6 646×	`lower-*.f32`
4 470×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	3535
1	1135	3442
2	3835	3436
0	8371	3136

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

Inputs
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2))))
(* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
(* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/5040 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (* 1/24 (sin x))))
(* 1/24 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/2 (/ (sin x) (pow eps 2))))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* 1/6 (pow x 3))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(- (sin x) (+ x (* -1/6 (pow x 3))))
(- (+ (sin x) (* eps (cos x))) (+ x (* -1/6 (pow x 3))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (+ x (* -1/6 (pow x 3))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (+ x (* -1/6 (pow x 3))))
(- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))
(- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))
(- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))
(- (sin (+ eps x)) (+ x (* -1/6 (pow x 3))))
(- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))
(- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))
(- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))
(- (sin (- x (* -1 eps))) (+ x (* -1/6 (pow x 3))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* 1/5040 (pow x 7))
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(- (sin x) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (+ (sin x) (* eps (cos x))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* -1/6 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(cos x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (+ 1 (* -1/6 (pow eps 2))))))))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))

Outputs
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (fma.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 #s(literal 1/24 binary64) (sin.f64 x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) eps) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps)))
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(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
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eps
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(* 1/6 (pow x 3))
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(* -1/6 (pow x 2))
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(* -1/6 (pow x 2))
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(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
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(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(sin x)
(sin.f64 x)
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(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) (sin.f64 x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (sin.f64 eps))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (neg.f64 (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(- (sin x) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 x) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (+ (sin x) (* eps (cos x))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (fma.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) (sin.f64 x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (fma.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))) (sin.f64 x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (+ eps x)) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(- (sin (- x (* -1 eps))) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(-.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (.f64 x (.f64 x 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)) x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (.f64 x (.f64 x 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)) x)
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 eps (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (*.f64 eps eps)))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 eps (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(.f64 eps (.f64 eps (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(.f64 eps (.f64 eps (-.f64 (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps))))
(+ 1 (* -1/6 (pow eps 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
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(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
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(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps) (/.f64 (cos.f64 x) (.f64 eps eps)))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 eps (.f64 eps eps)) eps)
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 x (.f64 eps (.f64 eps #s(literal -1/2 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)) eps))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
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(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
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(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 eps eps))))
(+ 1 (* -1/6 (pow eps 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
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(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 -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
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(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))

simplify198.0ms (1.3%)

Memory

13.9MiB live, 279.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1059	23767
1	1061	23767
0	1061	23767

Stop Event

1×	saturated
1×	saturated

Counts

372 → 0

Calls

Call 1

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

Outputs
(*.f64 eps #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(+.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps)))))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 eps (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
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(fma.f64 (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) eps (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) eps (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))
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(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps eps)))))
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(fma.f64 (.f64 eps (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (.f64 (cos.f64 x) eps))))
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(/.f64 (.f64 (-.f64 (.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 #s(literal 2 binary64) x))))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))
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(/.f64 (neg.f64 (.f64 eps (-.f64 (.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 #s(literal 2 binary64) x))))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (-.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64))) eps)) (neg.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 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))))))))
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(.f64 eps (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 (fma.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))) eps)
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (cos.f64 x)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)) (cos.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (.f64 (cos.f64 x) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/216 binary64) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (cos.f64 x))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1 binary64)) (cos.f64 x))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))

eval79.0ms (0.5%)

Memory: 15.6MiB live, 134.4MiB allocated
Compiler: Compiled 11 620 to 340 computations (97.1% saved)

prune92.0ms (0.6%)

Memory

-45.9MiB live, 51.3MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	604	14	618
Fresh	0	3	3
Picked	2	3	5
Done	0	1	1
Total	606	21	627

Accuracy

99.9%

Counts

627 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 x (fma.f64 eps (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) (.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)) eps))
	97.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)) eps))
✓	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
	62.3%	(-.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x))
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	21.7%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)))) eps)))
	21.8%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))))
	4.0%	(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
	31.8%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)))))
✓	99.9%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
	98.0%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 (.f64 x x) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))))))
▶	98.0%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
▶	97.3%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
	97.4%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
	97.1%	(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
	97.5%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
▶	99.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	97.2%	(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
▶	98.4%	(*.f64 eps (cos.f64 x))
▶	5.9%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))

Compiler

Compiled 913 to 506 computations (44.6% saved)

simplify558.0ms (3.8%)

Memory

41.4MiB live, 712.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
✓	cost-diff	320	(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))
✓	cost-diff	320	(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))
✓	cost-diff	320	(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 eps (cos.f64 x))
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
✓	cost-diff	192	(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓	cost-diff	0	(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))

Rules

22 954×	`lower-fma.f32`
22 932×	`lower-fma.f64`
7 204×	`lower-+.f64`
7 204×	`lower-+.f32`
5 874×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	404
0	79	400
1	193	394
2	563	386
3	1813	382
4	5414	382
5	5743	382
6	5759	382
7	5759	382
8	6526	382
9	6797	382
10	7405	382
11	7693	382
12	7693	382
13	7693	382
0	10074	360

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
eps
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
x
(cos.f64 x)
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
eps
(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
x
(fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(*.f64 eps #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
eps
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))))))
(fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))
(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 eps eps)
#s(literal -1/2 binary64)
(.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))
(*.f64 x x)
(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))
#s(literal -1/144 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))
(.f64 eps (.f64 x x))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)

Outputs
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
eps
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
x
(cos.f64 x)
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)))) eps)
eps
(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 eps x)) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
x
(fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(*.f64 eps #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
eps
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))))))
(fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
(.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))
(.f64 (.f64 eps x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 eps eps)
#s(literal -1/2 binary64)
(.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))
(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64)))))
(*.f64 x x)
(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))
(.f64 eps (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)) (fma.f64 eps (.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))
(fma.f64 eps (*.f64 eps #s(literal -1/144 binary64)) #s(literal 1/12 binary64))
#s(literal -1/144 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))
(.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64)))
(.f64 eps (.f64 x x))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/2880 binary64) #s(literal -1/240 binary64))
#s(literal 1/120 binary64)

localize210.0ms (1.4%)

Memory

-26.7MiB live, 246.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))
✓	accuracy	99.5%	(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))

Samples

127.0ms	252×	0	valid
2.0ms	2×	3	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 455 to 52 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 67.0ms (65.7% of total)

const: 17.0ms (16.7% of total)

ival-add: 11.0ms (10.8% of total)

ival-cos: 3.0ms (2.9% of total)

ival-sin: 2.0ms (2% of total)

adjust: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

16 → 288

Calls

Call 1

Inputs
#<alt (.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))>
#<alt (cos.f64 x)>
#<alt (sin.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))>
#<alt (*.f64 eps #s(literal -1/6 binary64))>
#<alt (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))>
#<alt (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))>

Outputs
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt 1>
#<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 (* -1/2 x)>
#<alt (* x (- (* 1/12 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* -1/2 (sin x))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))>
#<alt (* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))>
#<alt (* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))>
#<alt (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))>
#<alt (* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2)))))>
#<alt (* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))>
#<alt (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))))) 1/2))>
#<alt (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6))))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6))))))>
#<alt (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))>
#<alt (* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))>
#<alt (* x (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))>
#<alt (* x (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 eps) (* -1/2 x))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2)))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2)))>
#<alt (* 1/12 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/12 x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/12 x)) (* 1/2 (/ 1 eps))))>
#<alt (* 1/12 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 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 (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (cos x))>
#<alt (* eps (+ 1/12 (* -1/240 (pow x 2))))>
#<alt (* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))>
#<alt (* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))>
#<alt (* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))>
#<alt (* (pow eps 3) (- (* 1/2880 (pow x 2)) 1/144))>
#<alt (* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))>
#<alt (* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))>
#<alt (* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))>
#<alt (* -1 (* (pow eps 3) (+ 1/144 (* -1/2880 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))>
#<alt (* eps (+ 1/12 (* -1/144 (pow eps 2))))>
#<alt (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))>
#<alt (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))>
#<alt (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/6 eps)>
#<alt (* -1/240 (* eps (pow x 2)))>
#<alt (* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))>
#<alt (* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))>
#<alt (* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2880 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))>
#<alt (* 1/2880 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))>
#<alt (* 1/120 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* 1/120 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))>
#<alt (* eps (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))))>
#<alt (* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))>
#<alt (* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))>
#<alt (* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))>
#<alt (* (pow eps 3) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))>
#<alt (* -1 (* (pow eps 3) (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(+ (* eps (+ (* (* eps eps) -1/144) 1/12)) (* (* eps (* x x)) (* (+ (* 1/24 (* eps eps)) -1/2) 1/120)))
1.0ms	eps	@	inf	(+ (* eps (+ (* (* eps eps) -1/144) 1/12)) (* (* eps (* x x)) (* (+ (* 1/24 (* eps eps)) -1/2) 1/120)))
1.0ms	eps	@	0	(* eps (cos x))
1.0ms	eps	@	-inf	(+ (* eps (+ (* (* eps eps) -1/144) 1/12)) (* (* eps (* x x)) (* (+ (* 1/24 (* eps eps)) -1/2) 1/120)))
1.0ms	eps	@	inf	(* eps (+ (* x (+ (* x (+ (* (* eps eps) 1/12) -1/2)) (* eps -1/2))) (+ (* -1/6 (* eps eps)) 1)))

rewrite376.0ms (2.5%)

Memory

-4.8MiB live, 521.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 018×	`lower-fma.f32`
6 002×	`lower-fma.f64`
4 448×	`lower-*.f32`
4 420×	`lower-*.f64`
3 658×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	156
0	66	152
1	253	150
2	1987	150
0	8319	148

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 393

Calls

Call 1

Inputs
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(cos.f64 x)
(sin.f64 x)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 eps (cos.f64 x))
(fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64))))
(*.f64 eps #s(literal -1/6 binary64))
(.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))
(.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))

Outputs
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)) (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)) (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (*.f64 eps (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps)) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(.f64 (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)) eps)
(cos.f64 x)
(sin.f64 x)
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(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1/1728000 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))) (neg.f64 (fma.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (-.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))) (neg.f64 (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1/1728000 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 x x))) (neg.f64 (fma.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (-.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))))
(.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))
(.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (*.f64 x x))
(.f64 (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) x)
(.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))
(.f64 (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) eps) (/.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))

simplify468.0ms (3.1%)

Memory

-4.2MiB live, 589.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 770×	`lower-fma.f64`
16 770×	`lower-fma.f32`
6 322×	`lower-*.f64`
6 322×	`lower-*.f32`
5 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	3679
1	983	3562
2	3297	3424
0	8096	3123

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 285

Calls

Call 1

Inputs
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
1
(+ 1 (* -1/2 (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)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1/2 x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))
(* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))
(* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* 1/2 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))
(* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 2)))))
(* eps (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2)))
(* (pow x 2) (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))))) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ 1 (pow x 2))))) 1/2))
(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6))))))
(* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ 1 (pow eps 2))))) 1/6))
(* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(* x (- (* 1/12 (pow eps 2)) 1/2))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2))
(* x (- (* 1/12 (pow eps 2)) 1/2))
(* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x)))))
(* -1/2 x)
(+ (* -1/2 eps) (* -1/2 x))
(+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2)))
(+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2)))
(* 1/12 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/12 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/12 x)) (* 1/2 (/ 1 eps))))
(* 1/12 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/12 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)))
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (cos x))
(* eps (+ 1/12 (* -1/240 (pow x 2))))
(* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))
(* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))
(* eps (+ 1/12 (+ (* -1/240 (pow x 2)) (* (pow eps 2) (- (* 1/2880 (pow x 2)) 1/144)))))
(* (pow eps 3) (- (* 1/2880 (pow x 2)) 1/144))
(* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))
(* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))
(* (pow eps 3) (- (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (+ (* 1/2880 (pow x 2)) (* 1/12 (/ 1 (pow eps 2))))) 1/144))
(* -1 (* (pow eps 3) (+ 1/144 (* -1/2880 (pow x 2)))))
(* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- (+ 1/144 (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))) (* 1/12 (/ 1 (pow eps 2))))))
(* eps (+ 1/12 (* -1/144 (pow eps 2))))
(+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))
(+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))
(+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2)))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 2) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/6 eps)
(* -1/240 (* eps (pow x 2)))
(* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))
(* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))
(* eps (+ (* -1/240 (pow x 2)) (* 1/2880 (* (pow eps 2) (pow x 2)))))
(* 1/2880 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))
(* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))
(* (pow eps 3) (+ (* -1/240 (/ (pow x 2) (pow eps 2))) (* 1/2880 (pow x 2))))
(* 1/2880 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/2880 (pow x 2)) (* 1/240 (/ (pow x 2) (pow eps 2))))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2)))))
(* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))
(* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))
(* (pow x 2) (+ (* 1/120 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (+ 1/12 (* -1/144 (pow eps 2))))))
(* 1/120 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* 1/120 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
(* eps (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))))
(* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
(* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
(* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
(* (pow eps 3) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)))
(* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))
(* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))
(* (pow eps 3) (+ (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)) (/ (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) (pow eps 2))))
(* -1 (* (pow eps 3) (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2))))))
(* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* (pow x 2) (+ 1/144 (* -1/2880 (pow x 2)))) (/ (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)) (pow eps 2)))))

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) eps)
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(fma.f64 x (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 eps (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) eps)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 x)))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)) (cos.f64 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 (.f64 x x) #s(literal 1/24 binary64) #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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x 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)
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(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
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(* (pow x 4) (+ (* 1/120 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ 1/12 (* -1/144 (pow eps 2)))) (pow x 2))))
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(* eps (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))))
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(* eps (+ (* (pow eps 2) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))) (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2))))))
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(* (pow eps 3) (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144)))
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simplify172.0ms (1.2%)

Memory

25.2MiB live, 289.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1095	25479
1	1097	25479
0	1097	25479

Stop Event

1×	saturated
1×	saturated

Counts

393 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)) (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))) (neg.f64 (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1/1728000 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 x x))) (neg.f64 (fma.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (-.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) (.f64 x x))) (neg.f64 (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))))
(.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))
(.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (*.f64 x x))
(.f64 (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) x)
(.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))
(.f64 (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) eps) (/.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))

Outputs
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))) (/.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)) (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)) (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x))))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (*.f64 eps (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))))
(/.f64 (neg.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (cos.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 eps (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))) (neg.f64 (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1/1728000 binary64) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 x x))) (neg.f64 (fma.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (-.f64 (.f64 eps (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))) (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) (.f64 x x))) (neg.f64 (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) (.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))))))
(.f64 x (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))))
(.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (*.f64 x x))
(.f64 (.f64 x (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64))))) x)
(.f64 (/.f64 (.f64 x x) eps) (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))
(.f64 (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)))) (.f64 eps (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64)))))) eps) (/.f64 (.f64 x x) (-.f64 (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/240 binary64))))))

eval72.0ms (0.5%)

Memory: -6.0MiB live, 154.3MiB allocated
Compiler: Compiled 16 654 to 448 computations (97.3% saved)

prune38.0ms (0.3%)

Memory

-39.6MiB live, 55.1MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	650	16	666
Fresh	9	3	12
Picked	2	3	5
Done	1	3	4
Total	662	25	687

Accuracy

99.9%

Counts

687 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
▶	97.3%	(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
	97.3%	(fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
	97.2%	(fma.f64 eps (.f64 x (.f64 x #s(literal -1/2 binary64))) eps)
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	21.7%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)))) eps)))
	21.8%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))))
	31.8%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)))))
	52.0%	(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
	97.5%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
	97.5%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
✓	99.9%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
	97.3%	(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
▶	97.2%	(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	97.3%	(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
▶	97.8%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
	97.7%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10080 binary64) #s(literal -1/240 binary64))) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
▶	97.8%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
	97.2%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	99.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	5.9%	(.f64 eps (.f64 (*.f64 eps eps) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64))))
✓	98.4%	(*.f64 eps (cos.f64 x))
▶	97.2%	(*.f64 eps #s(literal 1 binary64))
✓	5.9%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))

Compiler

Compiled 939 to 527 computations (43.9% saved)

simplify316.0ms (2.1%)

Memory

2.8MiB live, 280.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 eps x)
✓	cost-diff	0	(*.f64 eps (+.f64 eps x))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
✓	cost-diff	320	(*.f64 eps #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))

Rules

10 276×	`lower-fma.f32`
10 258×	`lower-fma.f64`
2 796×	`lower-*.f32`
2 774×	`lower-*.f64`
2 152×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	227
0	61	225
1	155	225
2	489	225
3	1449	225
4	2884	225
5	3921	225
6	4572	225
7	4616	225
8	4623	225
9	4625	225
10	6239	225
11	6239	225
12	6353	225
13	6353	225
14	6407	225
15	6422	225
16	7462	225
17	7862	225
18	7896	225
19	7920	225
0	8028	225

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
eps
(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 eps x))
eps
(+.f64 eps x)
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
eps
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
eps
(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64))
#s(literal -1/240 binary64)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(cos.f64 x)

Outputs
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
(.f64 eps (fma.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps x) (cos.f64 x)))
eps
(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps x) (cos.f64 x))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 eps #s(literal 1 binary64))
eps
eps
#s(literal 1 binary64)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(fma.f64 (+.f64 eps x) (.f64 x (.f64 eps #s(literal -1/2 binary64))) eps)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 eps (+.f64 eps x))
eps
(+.f64 eps x)
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 eps (.f64 x x)) eps)
eps
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
(.f64 eps (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)) (.f64 eps x) (cos.f64 x)))
eps
(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)) (*.f64 eps x) (cos.f64 x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))
#s(literal -1/240 binary64)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(cos.f64 x)

localize120.0ms (0.8%)

Memory

2.1MiB live, 198.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 eps x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
✓	accuracy	99.9%	(*.f64 eps (+.f64 eps x))
✓	accuracy	100.0%	(*.f64 eps #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
✓	accuracy	100.0%	(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/12 binary64))

Samples

72.0ms

256×

valid

Compiler

Compiled 258 to 41 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 27.0ms (50.2% of total)

const: 14.0ms (26% of total)

ival-add: 10.0ms (18.6% of total)

ival-cos: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

7.4MiB live, 45.2MiB allocated

Counts

17 → 300

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))>
#<alt (fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))>
#<alt (.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))>
#<alt (*.f64 eps #s(literal 1 binary64))>
#<alt (*.f64 eps (+.f64 eps x))>
#<alt (fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (+.f64 eps x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))>
#<alt (.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))>

Outputs
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt -1/2>
#<alt (- (* 1/12 (pow x 2)) 1/2)>
#<alt (- (* 1/12 (pow x 2)) 1/2)>
#<alt (- (* 1/12 (pow x 2)) 1/2)>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (cos x)>
#<alt (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (cos x)) (pow x 3)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (cos x)) (pow x 3)))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* eps (cos x)) (pow x 3))) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* eps (cos x)) (pow x 3))) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 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 (* eps x)>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (* eps (+ eps x))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (* (pow eps 2) (+ 1 (/ x eps)))>
#<alt (pow eps 2)>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (+ (* eps x) (pow eps 2))>
#<alt (* eps x)>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* x (+ eps (/ (pow eps 2) x)))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))>
#<alt (* -1/2 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<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 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 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))>
#<alt (* -1/720 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))>
#<alt (* -1/720 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))>
#<alt (* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))>
#<alt (* -1/720 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))>
#<alt (* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))>
#<alt (* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))>
#<alt (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))>
#<alt (* -1/240 (* (pow eps 2) (pow x 5)))>
#<alt (* (pow x 5) (+ (* -1/240 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 2)))))>
#<alt (* (pow x 5) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/240 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 2))))))>
#<alt (* (pow x 5) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/240 (pow eps 2)) (+ (* 1/12 (/ (pow eps 2) (pow x 2))) (/ (* eps (cos x)) (pow x 5))))))>
#<alt (* -1/240 (* (pow eps 2) (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (* 1/240 (pow eps 2)))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (+ (* 1/240 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 4)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (* eps (cos x)) (pow x 5))) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (+ (* 1/240 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 4))))))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/12 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))>
#<alt (* -1/240 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/240))>
#<alt (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>
#<alt (* -1/240 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/240 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (cos x)>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))>
#<alt (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))>
#<alt (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))>
#<alt (* -1/240 (* eps (pow x 5)))>
#<alt (* (pow x 5) (+ (* -1/240 eps) (* 1/12 (/ eps (pow x 2)))))>
#<alt (* (pow x 5) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/240 eps) (* 1/12 (/ eps (pow x 2))))))>
#<alt (* (pow x 5) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/240 eps) (+ (* 1/12 (/ eps (pow x 2))) (/ (cos x) (pow x 5))))))>
#<alt (* -1/240 (* eps (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (* 1/240 eps))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4)))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ (cos x) (pow x 5))) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4))))))))>
#<alt -1/2>
#<alt (- (* 1/12 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)>
#<alt (* -1/240 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>
#<alt (* -1/240 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))>

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* eps (+ (* eps (* x (+ (* (* x x) (+ (* (* x x) -1/240) 1/12)) -1/2))) (cos x)))
1.0ms	eps	@	0	(* eps (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2))) 1))
1.0ms	eps	@	0	(* eps (+ (* eps (* x (+ (* (* x x) (+ (* (* x x) -1/240) 1/12)) -1/2))) (cos x)))
1.0ms	eps	@	-inf	(* eps (+ (* eps (* x (+ (* (* x x) (+ (* (* x x) -1/240) 1/12)) -1/2))) (cos x)))
1.0ms	x	@	inf	(* eps (+ (* x (* x (+ (* (* x x) (+ (* (* x x) -1/720) 1/24)) -1/2))) 1))

rewrite431.0ms (2.9%)

Memory

22.7MiB live, 340.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 308×	`lower-fma.f32`
6 290×	`lower-fma.f64`
4 318×	`lower-*.f32`
4 296×	`lower-*.f64`
3 698×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	167
0	61	165
1	273	165
2	2186	165
0	8376	165

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 498

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
(*.f64 eps #s(literal 1 binary64))
(*.f64 eps (+.f64 eps x))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(*.f64 x #s(literal -1/2 binary64))
(+.f64 eps x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))

Outputs
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
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(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))

simplify597.0ms (4%)

Memory

-16.7MiB live, 428.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 916×	`lower-fma.f64`
16 916×	`lower-fma.f32`
6 206×	`lower-*.f64`
6 206×	`lower-*.f32`
4 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	3511
1	1033	3492
2	3398	3396
0	8109	3142

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 278

Calls

Call 1

Inputs
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
-1/2
(- (* 1/12 (pow x 2)) 1/2)
(- (* 1/12 (pow x 2)) 1/2)
(- (* 1/12 (pow x 2)) 1/2)
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(cos x)
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))
(* eps (cos x))
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))
(* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (cos x)) (pow x 3)))))
(* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (cos x)) (pow x 3)))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (cos x)) (pow x 3))) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (cos x)) (pow x 3))) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 2)))))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* eps x)
(* eps (+ eps x))
(* eps (+ eps x))
(* eps (+ eps x))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))
(* -1/2 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* -1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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)))
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)))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* -1/720 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))
(* -1/720 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2)))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (* 1/24 (/ eps (pow x 2))))))
(* (pow x 6) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/720 eps) (+ (* 1/24 (/ eps (pow x 2))) (/ eps (pow x 6))))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* -1/720 (pow x 5))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 5))
(* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* eps (cos x))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))
(* eps (+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))))
(* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* (pow eps 2) (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(* -1/240 (* (pow eps 2) (pow x 5)))
(* (pow x 5) (+ (* -1/240 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 2)))))
(* (pow x 5) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/240 (pow eps 2)) (* 1/12 (/ (pow eps 2) (pow x 2))))))
(* (pow x 5) (+ (* -1/2 (/ (pow eps 2) (pow x 4))) (+ (* -1/240 (pow eps 2)) (+ (* 1/12 (/ (pow eps 2) (pow x 2))) (/ (* eps (cos x)) (pow x 5))))))
(* -1/240 (* (pow eps 2) (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (* 1/240 (pow eps 2)))))
(* -1 (* (pow x 5) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (+ (* 1/240 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 4)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (* eps (cos x)) (pow x 5))) (+ (* -1/12 (/ (pow eps 2) (pow x 2))) (+ (* 1/240 (pow eps 2)) (* 1/2 (/ (pow eps 2) (pow x 4))))))))
(* -1/2 x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* -1/240 (pow x 5))
(* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/240))
(* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(* -1/240 (pow x 5))
(* -1 (* (pow x 5) (- 1/240 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/240 (/ 1/2 (pow x 4))) (* 1/12 (/ 1 (pow x 2))))))
(cos x)
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
(+ (cos x) (* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
(* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* eps (+ (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)) (/ (cos x) eps)))
(* eps (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))
(* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))) (* -1 (/ (cos x) eps)))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/240 (* eps (pow x 5)))
(* (pow x 5) (+ (* -1/240 eps) (* 1/12 (/ eps (pow x 2)))))
(* (pow x 5) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/240 eps) (* 1/12 (/ eps (pow x 2))))))
(* (pow x 5) (+ (* -1/2 (/ eps (pow x 4))) (+ (* -1/240 eps) (+ (* 1/12 (/ eps (pow x 2))) (/ (cos x) (pow x 5))))))
(* -1/240 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (* 1/240 eps))))
(* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (cos x) (pow x 5))) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4))))))))
-1/2
(- (* 1/12 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)
(* -1/240 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(* -1/240 (pow x 4))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))

Outputs
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/12 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/12 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/12 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(cos x)
(cos.f64 x)
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x))
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x))
(+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
(* eps (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
(* -1 (* eps (+ (* -1 (* x (- (* 1/12 (pow x 2)) 1/2))) (* -1 (/ (cos x) eps)))))
(.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x eps)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) #s(literal 1 binary64))
(* 1/12 (* eps (pow x 3)))
(.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 x (.f64 x x))))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(* (pow x 3) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ (cos x) (pow x 3)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(* 1/12 (* eps (pow x 3)))
(.f64 #s(literal 1/12 binary64) (.f64 eps (.f64 x (.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (cos x) (pow x 3))) (+ (* -1/12 eps) (* 1/2 (/ eps (pow x 2)))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 eps (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (cos.f64 x) (.f64 x (.f64 x x)))))
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(.f64 eps (fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x)))
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(.f64 eps (fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x)))
(* eps (+ (cos x) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(.f64 eps (fma.f64 x (.f64 eps (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (cos.f64 x)))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 eps eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)) (*.f64 eps eps))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 eps eps)))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
(.f64 (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) eps)) (*.f64 eps eps))
(* (pow eps 2) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ (cos x) eps)))
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(.f64 #s(literal -1/240 binary64) (.f64 eps (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (* 1/240 eps))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 eps (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4)))))))
(neg.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 (.f64 x x) (.f64 x x))) (.f64 eps (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))))
(* -1 (* (pow x 5) (+ (* -1 (/ (cos x) (pow x 5))) (+ (* -1/12 (/ eps (pow x 2))) (+ (* 1/240 eps) (* 1/2 (/ eps (pow x 4))))))))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (.f64 (.f64 x x) (.f64 x x))) (.f64 eps (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/12 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(* -1/240 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/240 binary64)))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* -1/240 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/240 binary64)))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/240))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) (+ 1/240 (/ 1/2 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/240 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x x)))))

simplify177.0ms (1.2%)

Memory

-3.6MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1195	19255
1	1197	19255
0	1197	19255

Stop Event

1×	saturated
1×	saturated

Counts

498 → 0

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 x) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))
(+.f64 (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)) (cos.f64 x))
(-.f64 (/.f64 (.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))) (-.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)) (cos.f64 x))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))) (/.f64 (.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))) (-.f64 (cos.f64 x) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps) (cos.f64 x))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 x eps) (cos.f64 x))
(fma.f64 eps (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 eps (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) eps (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)) (cos.f64 x))
(fma.f64 (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)) #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (.f64 x eps) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (cos.f64 x))
(fma.f64 (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) x (cos.f64 x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps) (cos.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 eps (cos.f64 x))))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (.f64 eps (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) eps)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 eps (cos.f64 x))))))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/240 binary64)))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -1/240 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/240 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/240 binary64))) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/240 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) x #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/240 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -1/240 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))

Outputs
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
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(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -1/240 binary64))) x) x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/240 binary64))))) (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal 1/4 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))

eval82.0ms (0.6%)

Memory: 20.6MiB live, 93.8MiB allocated
Compiler: Compiled 8 910 to 309 computations (96.5% saved)

prune54.0ms (0.4%)

Memory

9.6MiB live, 56.4MiB allocated

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	548	8	556
Fresh	5	9	14
Picked	1	4	5
Done	1	5	6
Total	555	26	581

Accuracy

99.9%

Counts

581 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x eps)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
	97.2%	(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
	97.3%	(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (+.f64 x eps)) eps)
	97.3%	(fma.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) eps)
✓	63.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	21.7%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/6 binary64)))) eps)))
	21.8%	(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps) (/.f64 (cos.f64 x) (.f64 eps (*.f64 eps eps)))))))
	5.4%	(.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
	31.8%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) (neg.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)))))
	52.0%	(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
	5.9%	(.f64 x (.f64 eps (*.f64 #s(literal -1/2 binary64) eps)))
	97.5%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
	97.5%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 eps (.f64 x x)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) #s(literal 1/120 binary64)))))))))
✓	99.9%	(.f64 eps (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps)))
✓	97.2%	(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	48.8%	(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	97.3%	(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
✓	97.8%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
	97.7%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/10080 binary64) #s(literal -1/240 binary64))) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
✓	97.8%	(.f64 eps (fma.f64 eps (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (cos.f64 x)))
	97.7%	(.f64 eps (fma.f64 eps (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/240 binary64)))) (cos.f64 x)))
	97.2%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	99.0%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
✓	98.4%	(*.f64 eps (cos.f64 x))
✓	97.2%	(*.f64 eps #s(literal 1 binary64))

Compiler

Compiled 1 414 to 500 computations (64.6% saved)

regimes54.0ms (0.4%)

Memory

-1.0MiB live, 38.4MiB allocated

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes71.0ms (0.5%)

Memory

-18.0MiB live, 21.2MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes109.0ms (0.7%)

Memory

2.8MiB live, 42.0MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

85.0ms	eps
11.0ms	x
11.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`eps`
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes103.0ms (0.7%)

Memory

12.5MiB live, 54.1MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`eps`
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes94.0ms (0.6%)

Memory

-10.0MiB live, 28.9MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

79.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`eps`
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes85.0ms (0.6%)

Memory

-10.4MiB live, 28.1MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 eps #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 eps (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 x (.f64 x #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (+.f64 x eps)) eps)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) eps)
(fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 eps (.f64 (*.f64 eps eps) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x eps)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)) eps))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 x #s(literal 1/12 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

Outputs

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

Calls

3 calls:

70.0ms	eps
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`eps`
97.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes89.0ms (0.6%)

Memory

-6.0MiB live, 31.2MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 eps #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 eps (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 x (.f64 x #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (+.f64 x eps)) eps)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) eps)
(fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 eps (.f64 (*.f64 eps eps) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x eps)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps eps)) eps))

Outputs

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

Calls

3 calls:

75.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`eps`
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory

33.5MiB live, 33.5MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 eps #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 eps (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 x (.f64 x #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (+.f64 x eps)) eps)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) eps)
(fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 eps (.f64 (*.f64 eps eps) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x eps)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64))))

Outputs

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

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`eps`
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.3%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.3%)

Memory

-32.6MiB live, 13.9MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 eps #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 eps (*.f64 #s(literal -1/2 binary64) eps)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 x (.f64 x #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(.f64 eps (fma.f64 (.f64 x #s(literal -1/2 binary64)) (+.f64 eps x) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x (+.f64 x eps)) eps)
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps x)) eps)
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) eps)
(fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 eps (.f64 (*.f64 eps eps) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64))))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x eps)) (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) eps)) eps)

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

Calls

3 calls:

38.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`eps`
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.3%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`eps`
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory

-25.3MiB live, 14.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`eps`
97.3%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`eps`
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Accuracy

Total -58.9b remaining (-3286.1%)

Threshold costs -58.9b (-3286.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 eps #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`eps`
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	211
1	97	211

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (8.6%)

Memory

-1.9MiB live, 873.5MiB allocated

Rules

16 916×	`lower-fma.f64`
16 916×	`lower-fma.f32`
16 770×	`lower-fma.f64`
16 770×	`lower-fma.f32`
16 678×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	3535
1	1135	3442
2	3835	3436
0	8371	3136
0	316	3511
1	1033	3492
2	3398	3396
0	8109	3142
0	107	496
1	314	496
2	774	489
3	2838	489
4	6150	489
0	8095	458
0	326	3679
1	983	3562
2	3297	3424
0	8096	3123

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

Compiler

Compiled 456 to 230 computations (49.6% saved)

preprocess103.0ms (0.7%)

Memory: -16.8MiB live, 260.2MiB allocated
Compiler: Compiled 538 to 200 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

analyze42.0ms (0.3%)

sample6.3s (42.5%)

preprocess27.0ms (0.2%)

explain90.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize26.0ms (0.2%)

series4.0ms (0%)

rewrite287.0ms (1.9%)

simplify466.0ms (3.1%)

simplify53.0ms (0.4%)

eval14.0ms (0.1%)

prune10.0ms (0.1%)

simplify335.0ms (2.3%)

localize161.0ms (1.1%)

series31.0ms (0.2%)

rewrite421.0ms (2.8%)

simplify389.0ms (2.6%)

simplify198.0ms (1.3%)

eval79.0ms (0.5%)

prune92.0ms (0.6%)

simplify558.0ms (3.8%)

localize210.0ms (1.4%)

series27.0ms (0.2%)

rewrite376.0ms (2.5%)

simplify468.0ms (3.1%)

simplify172.0ms (1.2%)

eval72.0ms (0.5%)

prune38.0ms (0.3%)

simplify316.0ms (2.1%)

localize120.0ms (0.8%)

series24.0ms (0.2%)

rewrite431.0ms (2.9%)

simplify597.0ms (4%)

simplify177.0ms (1.2%)

eval82.0ms (0.6%)

prune54.0ms (0.4%)

regimes54.0ms (0.4%)

regimes71.0ms (0.5%)

regimes109.0ms (0.7%)

regimes103.0ms (0.7%)

regimes94.0ms (0.6%)

regimes85.0ms (0.6%)

regimes89.0ms (0.6%)

regimes19.0ms (0.1%)

regimes51.0ms (0.3%)

regimes14.0ms (0.1%)

regimes19.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

simplify8.0ms (0.1%)

soundness1.3s (8.6%)

preprocess103.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18