Metrics for 2sin (example 3.3)

analyze40.0ms (0.2%)

Memory

35.7MiB live, 73.8MiB 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)

sample5.9s (37%)

Memory

-240.0MiB live, 7 480.7MiB allocated

Samples

3.5s	25 882×	0	invalid
612.0ms	5 506×	0	valid
415.0ms	2 750×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

const: 1.0s (30.4% of total)

ival-sin: 776.0ms (23.4% of total)

ival-<=: 273.0ms (8.2% of total)

ival-add: 252.0ms (7.6% of total)

ival-mult: 222.0ms (6.7% of total)

ival-sub: 216.0ms (6.5% of total)

ival-fabs: 204.0ms (6.1% of total)

ival-<: 181.0ms (5.5% of total)

ival-and: 100.0ms (3% of total)

exact: 42.0ms (1.3% of total)

adjust: 33.0ms (1% of total)

ival-assert: 12.0ms (0.4% of total)

Bogosity

preprocess26.0ms (0.2%)

Memory

8.6MiB live, 44.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain91.0ms (0.6%)

Memory

-26.5MiB live, 227.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
219	2	(-2.197238269247597e-73 1.3579789351617117e-76)	6	(-1.5297152607693718e-19 2.58071630580573e-21)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
2	0	-	0	-	`(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	215	9
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	214	6
-	2	34

Precision

0.9907407407407407

Recall

0.9727272727272728

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	214	6	0
-	2	3	31

Precision?

0.9777777777777777

Recall?

1.0

Freqs

test

number	freq
0	40
1	215
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	342×	0	valid
16.0ms	166×	1	valid
1.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 9.0ms (49.2% of total)

ival-add: 3.0ms (16.4% of total)

ival-sub: 3.0ms (16.4% of total)

adjust: 2.0ms (10.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB 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×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (0.4%)

Memory

-34.7MiB live, 43.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	64.0%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Samples

9.0ms	83×	1	valid
8.0ms	171×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sin: 6.0ms (59.6% of total)

ival-add: 2.0ms (19.9% of total)

adjust: 1.0ms (9.9% of total)

ival-sub: 1.0ms (9.9% of total)

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

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

series4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 84

Calls

Call 1

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

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 eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt 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)>

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))

rewrite438.0ms (2.7%)

Memory

-2.3MiB live, 436.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 986×	`accelerator-lowering-fma.f32`
4 986×	`accelerator-lowering-fma.f64`
4 676×	`-lowering-.f32`
4 676×	`-lowering-.f64`
2 176×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	49	16
2	376	16
3	4763	16
0	8212	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 214

Calls

Call 1

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

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

simplify425.0ms (2.7%)

Memory

-9.1MiB live, 612.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 678×	`accelerator-lowering-fma.f32`
16 678×	`accelerator-lowering-fma.f64`
4 132×	`-lowering-.f32`
4 132×	`-lowering-.f64`
2 614×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	496
1	314	496
2	775	489
3	2836	489
4	6173	489
0	8126	458

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)))
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)))
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)

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

eval34.0ms (0.2%)

Memory: 25.5MiB live, 62.5MiB allocated
Compiler: Compiled 7 832 to 845 computations (89.2% saved)

prune37.0ms (0.2%)

Memory

-8.2MiB live, 68.0MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	289	9	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	289	10	299

Accuracy

100.0%

Counts

299 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	63.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.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))))
▶	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	99.2%	(*.f64 eps (cos.f64 x))
▶	98.4%	(sin.f64 eps)

Compiler

Compiled 257 to 168 computations (34.6% saved)

simplify528.0ms (3.3%)

Memory

6.1MiB live, 524.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	cost-diff	6400	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
✓	cost-diff	-64	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	192	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	cost-diff	0	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	192	(+.f64 eps #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))

Rules

10 744×	`accelerator-lowering-fma.f32`
10 744×	`accelerator-lowering-fma.f64`
7 680×	`-lowering-.f32`
7 680×	`-lowering-.f64`
4 966×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	176
1	84	176
2	208	162
3	449	162
4	959	162
5	2212	162
6	2999	162
7	3480	162
8	3789	162
9	4122	162
10	4328	162
11	5282	162
12	5784	162
13	5985	162
14	6032	162
15	6061	162
16	6081	162
17	6093	162
18	6097	162
19	6097	162
20	6097	162
21	6235	162
22	6295	162
23	6295	162
24	6295	162
0	9658	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize227.0ms (1.4%)

Memory

-3.7MiB live, 231.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (cos.f64 eps))
✓	accuracy	70.9%	(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 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)))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	64.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))

Samples

165.0ms	231×	1	valid
11.0ms	17×	2	valid
3.0ms	2×	3	valid
2.0ms	6×	0	valid

Compiler

Compiled 177 to 38 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-cos: 41.0ms (27.2% of total)

adjust: 30.0ms (19.9% of total)

ival-add: 28.0ms (18.6% of total)

ival-mult: 27.0ms (17.9% of total)

ival-sin: 15.0ms (10% of total)

ival-sub: 4.0ms (2.7% of total)

const: 4.0ms (2.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series28.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

22 → 408

Calls

Call 1

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

Outputs
#<alt (* 1/2 eps)>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt (* x (+ 1 (* 1/2 (/ eps x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ eps x)) 1)))>
#<alt x>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (+ x (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* eps (+ 1/2 (/ x eps)))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<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 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* -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 eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))>
#<alt (* -1/2 (* eps (sin x)))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<alt (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))>
#<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 (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<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 (* 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 (* x (- (cos eps) 1))>
#<alt (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))>
#<alt (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))>
#<alt (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin x)) (sin x))>
#<alt (- (* (cos eps) (sin 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 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<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 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))>
#<alt (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 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 (* -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 (* x (cos eps))>
#<alt (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))>
#<alt (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))>
#<alt (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (sin x)>
#<alt (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))>
#<alt (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))>
#<alt (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt (* (cos eps) (sin x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>

Calls

102 calls:

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

rewrite624.0ms (3.9%)

Memory

-16.2MiB live, 455.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 582×	`-lowering-.f32`
4 582×	`-lowering-.f64`
4 398×	`/-lowering-/.f32`
4 398×	`/-lowering-/.f64`
3 678×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	147
1	193	136
2	1858	136
0	8237	127

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 672

Calls

Call 1

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

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

simplify752.0ms (4.7%)

Memory

16.6MiB live, 687.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 866×	`accelerator-lowering-fma.f32`
12 866×	`accelerator-lowering-fma.f64`
6 422×	`-lowering-.f32`
6 422×	`-lowering-.f64`
4 516×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	3733
1	1380	3554
2	3926	3478
0	8231	3174

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
x
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* x (+ 1 (* 1/2 (/ eps x))))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
x
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(+ x (* 1/2 eps))
(* 1/2 eps)
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (/ x eps)))
(* 1/2 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
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 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -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)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
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)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* -1/2 (* eps (sin x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1
(+ 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)
(* 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)))))
(* x (- (cos eps) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (* (cos eps) (sin 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)))))))))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(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)))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
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)))))
(* -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))
(* x (cos eps))
(* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))
(* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))
(* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(sin x)
(+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))
(+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
(+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
(* (cos eps) (sin x))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)

Outputs
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
x
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/2 (/ eps x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
x
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* eps (+ 1/2 (/ x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(cos (* 1/2 eps))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 0 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
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(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (+ eps (* 2 x))))
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(cos (* 1/2 (- eps (* -2 x))))
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(cos (* 1/2 (- eps (* -2 x))))
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(cos (* 1/2 (- eps (* -2 x))))
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(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(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 (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
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(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
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(cos (* 1/2 (+ eps (* 2 x))))
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(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (+ eps (* 2 x))))
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(cos (* 1/2 (+ eps (* 2 x))))
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(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(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)))
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(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
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(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (- 1/6 (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (+ 1/6 (/ (sin (+ eps x)) (pow x 3))) (/ 1 (pow x 2))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))
(.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (- (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 3))) (/ 1 (pow x 2))) 1/6)))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (/.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1/6 binary64)))))
(- (sin x) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 x) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 eps (cos.f64 x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* -1/6 (pow x 2)))))
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(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (+ eps x)) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* -1/6 (pow x 2)))))
(-.f64 (sin.f64 (+.f64 eps x)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(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 x (cos.f64 eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 eps)))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
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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 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))))))))
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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 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))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) (* -1/2 (* eps (sin x))))
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(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(* -1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
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(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(* -1/2 (* eps (sin x)))
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(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
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1
#s(literal 1 binary64)
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(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
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(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
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(+ (cos x) (* -1/2 (* eps (sin x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
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(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 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 (.f64 x x) (fma.f64 x (.f64 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)
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(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (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 (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (cos.f64 x)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(fma.f64 x (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(fma.f64 x (fma.f64 x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1/6 (pow x 3))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/12 (pow x 2)) 1/2))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(.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 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(* x (cos eps))
(*.f64 x (cos.f64 eps))
(* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))
(.f64 (cos.f64 eps) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))
(.f64 x (.f64 (cos.f64 eps) (+.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (.f64 x x) (.f64 (cos.f64 eps) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin x)
(sin.f64 x)
(+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))
(.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
(.f64 (sin.f64 x) (+.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))
(+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 x) (.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(* (cos eps) (sin x))
(*.f64 (sin.f64 x) (cos.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)

eval141.0ms (0.9%)

Memory: -6.7MiB live, 302.8MiB allocated
Compiler: Compiled 33 971 to 2 745 computations (91.9% saved)

prune123.0ms (0.8%)

Memory

-21.4MiB live, 283.0MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 124	14	1 138
Fresh	1	3	4
Picked	4	1	5
Done	1	0	1
Total	1 130	18	1 148

Accuracy

100.0%

Counts

1 148 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
	63.1%	(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
	98.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
	98.5%	(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
▶	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	99.9%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	50.9%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶	98.7%	(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
	98.7%	(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
▶	99.8%	(.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))))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	99.2%	(*.f64 eps (cos.f64 x))
	63.9%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
▶	98.4%	eps

Compiler

Compiled 594 to 372 computations (37.4% saved)

simplify332.0ms (2.1%)

Memory

22.4MiB live, 452.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	64	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓	cost-diff	192	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	cost-diff	6784	(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))

Rules

11 534×	`accelerator-lowering-fma.f32`
11 534×	`accelerator-lowering-fma.f64`
3 584×	`-lowering-.f32`
3 584×	`-lowering-.f64`
2 812×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	319
1	149	319
2	471	306
3	1513	304
4	3198	304
5	4278	304
6	5117	304
7	5529	304
8	6827	304
9	7690	304
0	8093	272

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (sin eps) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(sin eps)
eps
(cos x)
x
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(* eps eps)
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(sin x)
(+ (* (* eps eps) -1/720) 1/24)
-1/720
1/24
(* -1/2 (sin x))
-1/2
eps
(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
eps
(+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1)
x
(+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))
-1/2
(* x (+ (* (* eps x) 1/12) -1/2))
(+ (* (* eps x) 1/12) -1/2)
(* eps x)
1/12
1
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)))
(sin (+ x eps))
(+ x eps)
x
eps
(* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1))
(+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)
(* x x)
(+ (* (* x x) 1/120) -1/6)
1/120
-1/6
1
(* eps (+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x))))
eps
(+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))
(* -1/2 (sin x))
-1/2
(sin x)
x
(* (+ (* eps (* eps -1/6)) 1) (cos x))
(+ (* eps (* eps -1/6)) 1)
(* eps -1/6)
-1/6
1
(cos x)

Outputs
(+ (* (sin eps) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (sin.f64 x)) (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(sin eps)
(sin.f64 eps)
eps
(cos x)
(cos.f64 x)
x
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (sin.f64 x)) (fma.f64 eps (*.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(.f64 (sin.f64 x) (fma.f64 eps (.f64 eps (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(sin x)
(sin.f64 x)
(+ (* (* eps eps) -1/720) 1/24)
(fma.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
(* -1/2 (sin x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
eps
(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
(.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
eps
(+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1)
(fma.f64 x (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
x
(+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))
(fma.f64 eps (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 0 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* (* eps x) 1/12) -1/2))
(*.f64 x (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(+ (* (* eps x) 1/12) -1/2)
(fma.f64 (fma.f64 eps x #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* eps x)
(fma.f64 eps x #s(literal 0 binary64))
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)))
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) 1/120) -1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(* eps (+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x))))
(.f64 eps (fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
eps
(+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))
(fma.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(* -1/2 (sin x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(sin x)
(sin.f64 x)
x
(* (+ (* eps (* eps -1/6)) 1) (cos x))
(.f64 (cos.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+ (* eps (* eps -1/6)) 1)
(fma.f64 eps (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* eps -1/6)
(*.f64 eps #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)

localize209.0ms (1.3%)

Memory

-10.7MiB live, 270.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	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	99.5%	(*.f64 eps #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	64.3%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	accuracy	99.9%	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	accuracy	99.4%	(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))

Samples

76.0ms	83×	1	valid
64.0ms	169×	0	valid
4.0ms	2×	3	valid
1.0ms	1×	4	valid
1.0ms	1×	2	valid

Compiler

Compiled 289 to 49 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 42.0ms (45% of total)

const: 17.0ms (18.2% of total)

ival-add: 16.0ms (17.1% of total)

ival-sin: 9.0ms (9.6% of total)

adjust: 5.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

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

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

series35.0ms (0.2%)

Memory

11.6MiB live, 47.4MiB allocated

Counts

21 → 420

Calls

Call 1

Inputs
#<alt (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))>
#<alt (+ (* (sin eps) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))>
#<alt (sin eps)>
#<alt (cos x)>
#<alt (* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))>
#<alt (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1)>
#<alt (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))>
#<alt (* x (+ (* (* eps x) 1/12) -1/2))>
#<alt (- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)))>
#<alt (+ (* (* x x) 1/120) -1/6)>
#<alt (sin (+ x eps))>
#<alt (+ x eps)>
#<alt (* eps (+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x))))>
#<alt (+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))>
#<alt (* -1/2 (sin x))>
#<alt (sin x)>
#<alt (* (sin x) (+ (* (* eps eps) -1/720) 1/24))>
#<alt (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))>
#<alt (* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1))>
#<alt (* eps -1/6)>
#<alt (* (+ (* eps (* eps -1/6)) 1) (cos x))>

Outputs
#<alt (* -1/2 (sin x))>
#<alt (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))>
#<alt (* -1/720 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* -1/720 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))>
#<alt (+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))>
#<alt (+ (sin eps) (* x (+ (* x (+ (* -1/2 (sin eps)) (* (pow eps 2) (* x (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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 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 (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* 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) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* -1 (* (pow eps 2) (* x (+ 1/2 (* -1/12 (pow x 2))))))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 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 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))>
#<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) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))>
#<alt (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))>
#<alt (* -1 (* eps (* x (+ 1/2 (* -1/12 (pow x 2))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))>
#<alt (* eps (- (* 1/12 (pow x 2)) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))>
#<alt (* -1 (* eps (+ 1/2 (* -1/12 (pow x 2)))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))>
#<alt (* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* -1/2 x))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x 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 (* -1/120 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ (sin (+ eps x)) (pow x 5))) (+ 1/120 (/ 1 (pow x 4)))))>
#<alt (* -1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/120 (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 5))) (/ 1 (pow x 4)))) (* 1/6 (/ 1 (pow x 2))))))>
#<alt (- (sin x) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (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 eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* 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) (* -1/2 (* 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 (* -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 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 (* x (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* x (+ 1/24 (+ (* -1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* -1/720 (pow eps 2)))))>
#<alt (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* 1/120 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))))))))>
#<alt (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* 1/120 (+ 1/24 (* -1/720 (pow eps 2)))))))))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))>
#<alt (* 1/24 (sin x))>
#<alt (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))>
#<alt (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))>
#<alt (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))>
#<alt (* -1/720 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* -1/720 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* -1/2 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))>
#<alt (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))))>
#<alt (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<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 (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

105 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
3.0ms	x	@	0	(+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))
1.0ms	eps	@	0	(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
1.0ms	eps	@	inf	(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
1.0ms	x	@	inf	(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))

rewrite521.0ms (3.3%)

Memory

35.1MiB live, 660.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 378×	`accelerator-lowering-fma.f32`
7 378×	`accelerator-lowering-fma.f64`
5 896×	`-lowering-.f32`
5 896×	`-lowering-.f64`
3 812×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	247
1	307	243
2	2777	243
0	10188	216

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 567

Calls

Call 1

Inputs
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(+ (* (sin eps) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(sin eps)
(cos x)
(* eps (+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1))
(+ (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))) 1)
(+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) -1/2)))
(* x (+ (* (* eps x) 1/12) -1/2))
(- (sin (+ x eps)) (* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1)))
(+ (* (* x x) 1/120) -1/6)
(sin (+ x eps))
(+ x eps)
(* eps (+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x))))
(+ (* eps (* -1/2 (sin x))) (* (+ (* eps (* eps -1/6)) 1) (cos x)))
(* -1/2 (sin x))
(sin x)
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(* x (+ (* (* x x) (+ (* (* x x) 1/120) -1/6)) 1))
(* eps -1/6)
(* (+ (* eps (* eps -1/6)) 1) (cos x))

Outputs
(+.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) (/.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))
(fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (sin.f64 x) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps eps)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 eps (.f64 eps (sin.f64 x))) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (sin.f64 x) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))))))))
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(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(*.f64 eps #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))
(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)))
(+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (.f64 (cos.f64 x) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(fma.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (.f64 (cos.f64 x) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(/.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 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(/.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 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #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 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 (cos.f64 x) #s(literal 1 binary64))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (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 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x)) (.f64 #s(literal 1 binary64) (cos.f64 x))))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 x))

simplify464.0ms (2.9%)

Memory

-5.5MiB live, 739.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 502×	`accelerator-lowering-fma.f32`
13 502×	`accelerator-lowering-fma.f64`
7 410×	`-lowering-.f32`
7 410×	`-lowering-.f64`
3 156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	5837
1	1886	5659
2	6580	5636
0	8342	5106

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(* -1/720 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* -1/720 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))
(sin eps)
(+ (sin eps) (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
(+ (sin eps) (* x (+ (* x (+ (* -1/2 (sin eps)) (* (pow eps 2) (* x (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* (cos x) (sin eps)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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)
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)
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* (pow eps 2) (* x (- (* 1/12 (pow x 2)) 1/2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* -1 (* (pow eps 2) (* x (+ 1/2 (* -1/12 (pow x 2))))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 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 (/ eps x)) (* 1/12 (pow eps 2))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2)))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3))))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))) x)) (* -1/12 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)) x)) (* -1/12 (pow eps 2)))))
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) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* -1 (* eps (* x (+ 1/2 (* -1/12 (pow x 2))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(* eps (- (* 1/12 (pow x 2)) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* -1 (* eps (+ 1/2 (* -1/12 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* -1/2 x)
(* x (- (* 1/12 (* eps x)) 1/2))
(* x (- (* 1/12 (* eps x)) 1/2))
(* x (- (* 1/12 (* eps x)) 1/2))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))
(+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))
(+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))
(* 1/12 (* eps (pow x 2)))
(* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))
(* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))
(* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))
(* 1/12 (* eps (pow x 2)))
(* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))
(* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x 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)))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* (pow x 5) (- (+ (* 1/6 (/ 1 (pow x 2))) (/ (sin (+ eps x)) (pow x 5))) (+ 1/120 (/ 1 (pow x 4)))))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/120 (+ (* -1 (/ (sin (- eps (* -1 x))) (pow x 5))) (/ 1 (pow x 4)))) (* 1/6 (/ 1 (pow x 2))))))
(- (sin x) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (+ (sin x) (* eps (cos x))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (+ eps x)) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
(- (sin (- x (* -1 eps))) (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (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)))
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)))
(* 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) (* -1/2 (* 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)))))
(* -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))
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)
(* x (+ 1/24 (* -1/720 (pow eps 2))))
(* x (+ 1/24 (+ (* -1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* -1/720 (pow eps 2)))))
(* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* 1/120 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))))))))
(* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* 1/120 (+ 1/24 (* -1/720 (pow eps 2)))))))))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* 1/24 (sin x))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(* -1/720 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* -1/720 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -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)
(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
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))
(.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/720 (* (pow eps 4) (sin x)))
(.f64 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (*.f64 eps eps) #s(literal -1/720 binary64)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))))
(* -1/720 (* (pow eps 4) (sin x)))
(.f64 (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 (*.f64 eps eps) #s(literal -1/720 binary64)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))))
(* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 x (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))
(.f64 x (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 #s(literal -1/5040 binary64) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/10080 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) #s(literal -1/240 binary64)))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* 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 (sin.f64 x) eps) (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 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))) (cos.f64 x)))
(* -1/720 (* (pow eps 6) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (pow.f64 eps #s(literal 6 binary64))) (.f64 (sin.f64 x) #s(literal -1/720 binary64))))))
(* -1/720 (* (pow eps 6) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (+ (* 1/24 (/ (sin x) (pow eps 2))) (/ (* (cos x) (sin eps)) (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (cos.f64 x) (/.f64 (sin.f64 eps) (pow.f64 eps #s(literal 6 binary64))) (.f64 (sin.f64 x) #s(literal -1/720 binary64))))))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(fma.f64 x (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (sin.f64 eps))
(+ (sin eps) (* x (+ (* -1/2 (* x (sin eps))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 eps))
(+ (sin eps) (* x (+ (* x (+ (* -1/2 (sin eps)) (* (pow eps 2) (* x (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
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eps
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(* 1/12 (* (pow eps 2) (pow x 3)))
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(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))
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(* 1/12 (* (pow eps 2) (pow x 3)))
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(* 1/12 (* eps (pow x 3)))
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(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
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(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
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(* 1/12 (* eps (pow x 3)))
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(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps))))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* -1/720 (* (pow eps 6) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* -1/720 (* (pow eps 6) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 6 binary64))))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(.f64 eps (.f64 eps (.f64 x (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(.f64 (.f64 x (.f64 eps eps)) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))))
(.f64 x (fma.f64 (.f64 eps eps) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) #s(literal -1/240 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 eps (.f64 eps (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (.f64 #s(literal -1/5040 binary64) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/10080 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) #s(literal -1/240 binary64))) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(.f64 (.f64 eps eps) (fma.f64 (sin.f64 x) (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(.f64 (-.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(.f64 (-.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 (.f64 eps eps) (*.f64 #s(literal -1/6 binary64) (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 (.f64 eps eps) (*.f64 #s(literal -1/6 binary64) (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 (* -1/6 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(fma.f64 x (.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 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)))))))))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 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))))))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))

eval404.0ms (2.5%)

Memory: -194.9MiB live, 269.1MiB allocated
Compiler: Compiled 39 898 to 2 685 computations (93.3% saved)

prune108.0ms (0.7%)

Memory

33.2MiB live, 196.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 032	8	1 040
Fresh	4	8	12
Picked	1	4	5
Done	0	1	1
Total	1 037	21	1 058

Accuracy

100.0%

Counts

1 058 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.8%	(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
▶	63.1%	(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
▶	99.9%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	50.9%	(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	98.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	98.8%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	98.7%	(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
▶	98.7%	(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
	98.7%	(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	99.8%	(.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))))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
	98.5%	(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	98.5%	(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
	99.2%	(*.f64 eps (cos.f64 x))
	63.9%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
✓	98.4%	eps

Compiler

Compiled 700 to 430 computations (38.6% saved)

simplify491.0ms (3.1%)

Memory

-33.9MiB live, 524.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
✓	cost-diff	128	(neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
✓	cost-diff	704	(.f64 (.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	cost-diff	6720	(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))

Rules

14 368×	`accelerator-lowering-fma.f32`
14 368×	`accelerator-lowering-fma.f64`
5 880×	`-lowering-.f32`
5 880×	`-lowering-.f64`
3 674×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	467
1	216	459
2	745	447
3	2551	438
4	5814	436
5	6924	436
0	8023	384

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)
(* eps eps)
(+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)
(+ (* (* eps eps) -1/5040) 1/120)
-1/5040
1/120
-1/6
1
(cos x)
x
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(sin x)
(+ (* (* eps eps) -1/720) 1/24)
-1/720
1/24
(* -1/2 (sin x))
-1/2
(* eps (+ (* -1/2 (* x eps)) 1))
eps
(+ (* -1/2 (* x eps)) 1)
-1/2
(* x eps)
x
1
(* eps (+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1))
eps
(+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1)
x
(* (* x x) (+ (* eps 1/12) (/ -1/2 x)))
(* x x)
(+ (* eps 1/12) (/ -1/2 x))
1/12
(/ -1/2 x)
-1/2
1
(+ (* (neg (+ (* x (* x -1/6)) 1)) x) (sin (+ x eps)))
(neg (+ (* x (* x -1/6)) 1))
(+ (* x (* x -1/6)) 1)
x
(* x -1/6)
-1/6
1
(sin (+ x eps))
(+ x eps)
eps
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)
(* eps eps)
(+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)
(+ (* (* eps eps) -1/645120) 1/3840)
-1/645120
1/3840
-1/48
1/2
(cos (* (+ (* x 2) eps) 1/2))
(* (+ (* x 2) eps) 1/2)
(+ (* x 2) eps)
x
2

Outputs
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* eps eps)
(*.f64 eps eps)
(+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+ (* (* eps eps) -1/5040) 1/120)
(fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(.f64 (sin.f64 x) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(sin x)
(sin.f64 x)
(+ (* (* eps eps) -1/720) 1/24)
(fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
-1/720
#s(literal -1/720 binary64)
1/24
#s(literal 1/24 binary64)
(* -1/2 (sin x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* eps (+ (* -1/2 (* x eps)) 1))
(.f64 eps (fma.f64 eps (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+ (* -1/2 (* x eps)) 1)
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(* x eps)
(*.f64 eps x)
x
1
#s(literal 1 binary64)
(* eps (+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1))
(.f64 eps (fma.f64 x (.f64 x (fma.f64 eps (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
eps
(+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1)
(fma.f64 x (.f64 x (fma.f64 eps (.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(* (* x x) (+ (* eps 1/12) (/ -1/2 x)))
(.f64 x (fma.f64 eps (.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))
(* x x)
(*.f64 x x)
(+ (* eps 1/12) (/ -1/2 x))
(fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))
1/12
#s(literal 1/12 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (neg (+ (* x (* x -1/6)) 1)) x) (sin (+ x eps)))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)))
(neg (+ (* x (* x -1/6)) 1))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
(+ (* x (* x -1/6)) 1)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
x
(* x -1/6)
(*.f64 #s(literal -1/6 binary64) x)
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
eps
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 eps #s(literal 2 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(.f64 eps (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
eps
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(* eps eps)
(*.f64 eps eps)
(+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(+ (* (* eps eps) -1/645120) 1/3840)
(fma.f64 (*.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))
-1/645120
#s(literal -1/645120 binary64)
1/3840
#s(literal 1/3840 binary64)
-1/48
#s(literal -1/48 binary64)
1/2
#s(literal 1/2 binary64)
(cos (* (+ (* x 2) eps) 1/2))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* (+ (* x 2) eps) 1/2)
(fma.f64 eps #s(literal 1/2 binary64) x)
(+ (* x 2) eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
2
#s(literal 2 binary64)

localize415.0ms (2.6%)

Memory

35.6MiB live, 268.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	64.3%	(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
✓	accuracy	53.9%	(.f64 (.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x eps)
✓	accuracy	100.0%	(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	accuracy	100.0%	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	accuracy	99.4%	(.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))

Samples

144.0ms	170×	0	valid
100.0ms	83×	1	valid
3.0ms	2×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 416 to 69 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 78.0ms (39.9% of total)

const: 57.0ms (29.2% of total)

ival-add: 23.0ms (11.8% of total)

ival-div: 20.0ms (10.2% of total)

adjust: 6.0ms (3.1% of total)

ival-cos: 5.0ms (2.6% of total)

ival-sin: 4.0ms (2% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series64.0ms (0.4%)

Memory

4.9MiB live, 45.5MiB allocated

Counts

25 → 492

Calls

Call 1

Inputs
#<alt (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))>
#<alt (+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))>
#<alt (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1))>
#<alt (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)>
#<alt (* eps (+ (* -1/2 (* x eps)) 1))>
#<alt (+ (* -1/2 (* x eps)) 1)>
#<alt (* x eps)>
#<alt (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))>
#<alt (* eps (+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1))>
#<alt (+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1)>
#<alt (* x x)>
#<alt (neg (+ (* x (* x -1/6)) 1))>
#<alt (+ (* (neg (+ (* x (* x -1/6)) 1)) x) (sin (+ x eps)))>
#<alt (+ (* x (* x -1/6)) 1)>
#<alt (* x -1/6)>
#<alt (* (+ (* x 2) eps) 1/2)>
#<alt (* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)>
#<alt (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))>
#<alt (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2))>
#<alt (* (sin x) (+ (* (* eps eps) -1/720) 1/24))>
#<alt (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))>
#<alt (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)>
#<alt (/ -1/2 x)>
#<alt (sin (+ x eps))>
#<alt (cos (* (+ (* x 2) eps) 1/2))>

Outputs
#<alt (* -1/2 (sin x))>
#<alt (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))>
#<alt (* -1/720 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* -1/720 (* (pow eps 4) (sin x)))>
#<alt (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))>
#<alt (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))>
#<alt (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))>
#<alt (* -1/5040 (* (pow eps 7) (cos x)))>
#<alt (* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (* -1/5040 (cos x))))>
#<alt (* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (+ (* -1/5040 (cos x)) (* 1/120 (/ (cos x) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (+ (* -1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow eps 2))) (* 1/24 (/ (sin x) (pow eps 3)))))))>
#<alt (* -1/5040 (* (pow eps 7) (cos x)))>
#<alt (* -1 (* (pow eps 7) (+ (* 1/5040 (cos x)) (* 1/720 (/ (sin x) eps)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1 (/ (+ (* -1/720 (sin x)) (* 1/120 (/ (cos x) eps))) eps)) (* 1/5040 (cos x)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (sin x) eps)) (* -1/120 (cos x))) eps)) (* -1/720 (sin x))) eps)) (* 1/5040 (cos x)))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))>
#<alt (+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))>
#<alt (+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (* x (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))>
#<alt (+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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 (* -1/5040 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* -1/5040 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))>
#<alt (* -1/5040 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* -1/5040 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/2 (* eps x))))>
#<alt (* eps (+ 1 (* -1/2 (* eps x))))>
#<alt (* eps (+ 1 (* -1/2 (* eps x))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1/2 x) (/ 1 eps)))>
#<alt eps>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (+ eps (* -1/2 (* (pow eps 2) x)))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ eps x)))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ eps x)))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ eps x)))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* x (+ (* -1/2 eps) (/ 1 x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt (* -1 (* x (- (* 1/2 eps) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* x (- (* 1/12 (* eps x)) 1/2))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))))>
#<alt (* 1/12 (* eps (pow x 2)))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))))>
#<alt (* eps (+ 1 (* -1/2 (pow x 2))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))))>
#<alt (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* 1/12 (* eps (pow x 3))))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) eps)) (+ (* 1/12 (pow x 3)) (/ 1 eps))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/12 (pow eps 2)) (/ eps (pow x 3)))))>
#<alt (* 1/12 (* (pow eps 2) (pow x 3)))>
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#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* -1/720 (* (pow eps 6) (sin x)))>
#<alt (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))>
#<alt (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))>
#<alt (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))))>
#<alt (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)>
#<alt (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)>
#<alt (* -1/5040 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* -1/5040 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<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 (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 (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos (* 1/2 (- eps (* -2 x))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (+ eps (* 2 x))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (cos (* 1/2 (- (* 2 x) (* -1 eps))))>

Calls

123 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(* (* x x) (+ (* eps 1/12) (/ -1/2 x)))
2.0ms	x	@	0	(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
2.0ms	x	@	inf	(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
1.0ms	x	@	inf	(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
1.0ms	x	@	-inf	(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)

rewrite522.0ms (3.3%)

Memory

-9.4MiB live, 468.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 458×	`-lowering-.f32`
5 458×	`-lowering-.f64`
5 148×	`accelerator-lowering-fma.f32`
5 148×	`accelerator-lowering-fma.f64`
3 060×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	356
1	424	346
2	3754	346
0	9010	303

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 603

Calls

Call 1

Inputs
(+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))
(+ (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)) (cos x)) (* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x)))))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1))
(+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)) 1)
(* eps (+ (* -1/2 (* x eps)) 1))
(+ (* -1/2 (* x eps)) 1)
(* x eps)
(* (* x x) (+ (* eps 1/12) (/ -1/2 x)))
(* eps (+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1))
(+ (* x (* (* x x) (+ (* eps 1/12) (/ -1/2 x)))) 1)
(* x x)
(neg (+ (* x (* x -1/6)) 1))
(+ (* (neg (+ (* x (* x -1/6)) 1)) x) (sin (+ x eps)))
(+ (* x (* x -1/6)) 1)
(* x -1/6)
(* (+ (* x 2) eps) 1/2)
(* (* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2))) 2)
(* (* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2)) (cos (* (+ (* x 2) eps) 1/2)))
(* eps (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/645120) 1/3840)) -1/48)) 1/2))
(* (sin x) (+ (* (* eps eps) -1/720) 1/24))
(* (* eps eps) (+ (* (* eps eps) (* (sin x) (+ (* (* eps eps) -1/720) 1/24))) (* -1/2 (sin x))))
(+ (* (* eps eps) (+ (* (* eps eps) -1/5040) 1/120)) -1/6)
(/ -1/2 x)
(sin (+ x eps))
(cos (* (+ (* x 2) eps) 1/2))

Outputs
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (sin.f64 x) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 eps eps)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (sin.f64 x)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (sin.f64 x)) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (sin.f64 x) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 x))) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
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(pow.f64 (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) #s(literal -1 binary64))
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(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
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(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
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simplify569.0ms (3.6%)

Memory

8.2MiB live, 954.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 660×	`accelerator-lowering-fma.f32`
14 660×	`accelerator-lowering-fma.f64`
9 070×	`-lowering-.f32`
9 070×	`-lowering-.f64`
4 358×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	700	7358
1	2301	7026
2	7767	7026
0	8952	6367

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(* -1/720 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* -1/720 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/5040 (* (pow eps 7) (cos x)))
(* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (* -1/5040 (cos x))))
(* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (+ (* -1/5040 (cos x)) (* 1/120 (/ (cos x) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/720 (/ (sin x) eps)) (+ (* -1/5040 (cos x)) (+ (* 1/120 (/ (cos x) (pow eps 2))) (* 1/24 (/ (sin x) (pow eps 3)))))))
(* -1/5040 (* (pow eps 7) (cos x)))
(* -1 (* (pow eps 7) (+ (* 1/5040 (cos x)) (* 1/720 (/ (sin x) eps)))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (+ (* -1/720 (sin x)) (* 1/120 (/ (cos x) eps))) eps)) (* 1/5040 (cos x)))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (sin x) eps)) (* -1/120 (cos x))) eps)) (* -1/720 (sin x))) eps)) (* 1/5040 (cos x)))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
(+ (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (* x (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))))
(+ (* eps (* (cos x) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (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))))
(* -1/5040 (pow eps 7))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* -1/5040 (pow eps 7))
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1
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(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
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(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 1/2 (* eps (cos x)))
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(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* -1/645120 (pow eps 7))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
(* x (+ 1/24 (* -1/720 (pow eps 2))))
(* x (+ 1/24 (+ (* -1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* -1/720 (pow eps 2)))))
(* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* 1/120 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))))))))
(* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* 1/120 (+ 1/24 (* -1/720 (pow eps 2)))))))))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))
(* 1/24 (sin x))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))
(* -1/720 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* -1/720 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* -1/720 (* (pow eps 6) (sin x)))
(* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))) (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))))))
(* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240))))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2)))))))
-1/6
(- (* 1/120 (pow eps 2)) 1/6)
(- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)
(- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)
(* -1/5040 (pow eps 4))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* -1/5040 (pow eps 4))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(/ -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)
(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)))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))

Outputs
(* -1/2 (sin x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))
(.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* -1/720 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/720 (* (pow eps 4) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) (fma.f64 (sin.f64 x) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 4 binary64))))))
(* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 x (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/2))
(.f64 x (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) 1/240)))))) 1/2))
(.f64 x (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) #s(literal -1/240 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))) #s(literal -1/2 binary64))))
(* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* -1/6 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (- (+ (* 1/120 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))) (* (pow x 2) (+ 1/10080 (* -1/5040 (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))))))) 1/240)))))) 1/2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/4320 binary64) #s(literal -1/144 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/86400 binary64) #s(literal 1/2880 binary64)) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) #s(literal 1/10080 binary64)) #s(literal -1/240 binary64))) #s(literal 1/12 binary64))) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+ (* -1/2 (sin x)) (* (pow eps 2) (* (sin x) (+ 1/24 (* -1/720 (pow eps 2))))))
(fma.f64 (sin.f64 x) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(* 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 (sin.f64 x) eps) (cos.f64 x)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
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(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/5040 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) 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 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (.f64 x (.f64 #s(literal -1/6 binary64) (cos.f64 eps)))) (cos.f64 eps)) (sin.f64 eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 x eps))
(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 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (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 eps (fma.f64 eps (.f64 #s(literal -1/6 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) (sin.f64 x))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (+ eps x))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(cos (* 1/2 eps))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(fma.f64 x (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) #s(literal -1/8 binary64)))) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) (.f64 eps #s(literal 1/48 binary64)) (.f64 (cos.f64 x) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))

eval160.0ms (1%)

Memory: 7.5MiB live, 367.8MiB allocated
Compiler: Compiled 40 341 to 2 851 computations (92.9% saved)

prune190.0ms (1.2%)

Memory

-2.2MiB live, 315.8MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 089	6	1 095
Fresh	4	7	11
Picked	3	2	5
Done	1	4	5
Total	1 097	19	1 116

Accuracy

100.0%

Counts

1 116 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
✓	100.0%	(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.8%	(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
✓	63.2%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	99.9%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.8%	(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.5%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	99.9%	(.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
	98.2%	(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
	100.0%	(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
	98.9%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	98.8%	(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	98.7%	(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	99.8%	(.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))))
✓	99.6%	(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
✓	98.5%	(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
	99.2%	(*.f64 eps (cos.f64 x))
	5.9%	(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
✓	98.4%	eps

Compiler

Compiled 936 to 387 computations (58.7% saved)

regimes35.0ms (0.2%)

Memory

-4.7MiB live, 72.7MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
eps
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 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 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

Outputs

(fma.f64 (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))

Calls

3 calls:

11.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.2%)

Memory

18.6MiB live, 66.8MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
eps
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 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 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))

Outputs

(*.f64 eps (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))

Calls

3 calls:

13.0ms	eps
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory

-8.3MiB live, 70.4MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
eps
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 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 (sin.f64 (.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 eps (fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (fma.f64 eps (.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

9.0ms	eps
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x

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)

regimes16.0ms (0.1%)

Memory

-7.0MiB live, 31.5MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
eps
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs

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

Calls

2 calls:

8.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Memory

-7.1MiB live, 33.2MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
eps
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 eps eps)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x)) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 x eps)) eps)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (/.f64 eps x)))
(.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/12 binary64) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x (sin.f64 (+.f64 x eps)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))

Outputs

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

Calls

2 calls:

9.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-6.1MiB live, 33.3MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-12.6MiB live, 26.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-19.0MiB live, 20.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-30.6MiB live, 11.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Accuracy

Total -59.3b remaining (-5804.7%)

Threshold costs -59.3b (-5804.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

-14.9MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	250
1	132	250

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 eps (fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (fma.f64 eps (.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 eps (cos.f64 x))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 eps (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps (+.f64 eps x)) x) eps)
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(.f64 eps (fma.f64 x (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (.f64 x eps) #s(literal 1 binary64)))
eps

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

soundness1.6s (10.3%)

Memory

36.7MiB live, 1 260.3MiB allocated

Rules

16 678×	`accelerator-lowering-fma.f32`
16 678×	`accelerator-lowering-fma.f64`
14 660×	`accelerator-lowering-fma.f32`
14 660×	`accelerator-lowering-fma.f64`
13 502×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	3733
1	1380	3554
2	3926	3478
0	8231	3174
0	107	496
1	314	496
2	775	489
3	2836	489
4	6173	489
0	8126	458
0	700	7358
1	2301	7026
2	7767	7026
0	8952	6367
0	67	356
1	424	346
2	3754	346
0	9010	303
0	564	5837
1	1886	5659
2	6580	5636
0	8342	5106
0	6	16
1	49	16
2	376	16
3	4763	16
0	8212	16

Stop Event

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

Compiler

Compiled 709 to 368 computations (48.1% saved)

preprocess122.0ms (0.8%)

Memory: 1.9MiB live, 156.6MiB allocated
Compiler: Compiled 616 to 254 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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

analyze40.0ms (0.2%)

sample5.9s (37%)

preprocess26.0ms (0.2%)

explain91.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize66.0ms (0.4%)

series4.0ms (0%)

rewrite438.0ms (2.7%)

simplify425.0ms (2.7%)

eval34.0ms (0.2%)

prune37.0ms (0.2%)

simplify528.0ms (3.3%)

localize227.0ms (1.4%)

series28.0ms (0.2%)

rewrite624.0ms (3.9%)

simplify752.0ms (4.7%)

eval141.0ms (0.9%)

prune123.0ms (0.8%)

simplify332.0ms (2.1%)

localize209.0ms (1.3%)

series35.0ms (0.2%)

rewrite521.0ms (3.3%)

simplify464.0ms (2.9%)

eval404.0ms (2.5%)

prune108.0ms (0.7%)

simplify491.0ms (3.1%)

localize415.0ms (2.6%)

series64.0ms (0.4%)

rewrite522.0ms (3.3%)

simplify569.0ms (3.6%)

eval160.0ms (1%)

prune190.0ms (1.2%)

regimes35.0ms (0.2%)

regimes33.0ms (0.2%)

regimes28.0ms (0.2%)

regimes16.0ms (0.1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify11.0ms (0.1%)

soundness1.6s (10.3%)

preprocess122.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	46
1	43	42
2	92	42
3	181	42
4	321	42
5	398	42
6	483	42
7	525	42
8	534	42
0	6	7
1	9	7
2	14	7
3	20	7
4	28	7
5	43	7
6	76	7
7	101	7
8	144	7
9	159	7
10	167	7
0	167	7

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