Metrics for 2cos (problem 3.3.5)

analyze52.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	74.7%	0%	0%	0%	3
0%	0%	25.3%	74.7%	0%	0%	0%	4
0%	0%	19%	81%	0%	0%	0%	5
0%	0%	15.8%	84.2%	0%	0%	0%	6
0%	0%	11.1%	88.9%	0%	0%	0%	7
0%	0%	8.7%	91.3%	0%	0%	0%	8
0%	0%	5.9%	94.1%	0%	0%	0%	9
0%	0%	4.5%	95.5%	0%	0%	0%	10
0%	0%	3.1%	96.9%	0%	0%	0%	11
0%	0%	2.7%	97.3%	0%	0%	0%	12

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 9.0ms (32.7% of total)

ival-fabs: 4.0ms (14.5% of total)

ival-mult: 3.0ms (10.9% of total)

ival-<=: 3.0ms (10.9% of total)

ival-<: 3.0ms (10.9% of total)

ival-add: 2.0ms (7.3% of total)

ival-sub: 2.0ms (7.3% of total)

ival-and: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

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

sample8.8s (48%)

Results

2.9s	25475×	0	precondition
3.2s	5649×	2	valid
610.0ms	2457×	1	valid
23.0ms	150×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.4s

ival-cos: 2.3s (42.4% of total)

ival-<: 562.0ms (10.4% of total)

backward-pass: 547.0ms (10.1% of total)

ival-add: 413.0ms (7.6% of total)

ival-mult: 395.0ms (7.3% of total)

ival-<=: 343.0ms (6.4% of total)

ival-fabs: 336.0ms (6.2% of total)

ival-sub: 308.0ms (5.7% of total)

ival-and: 131.0ms (2.4% of total)

const: 73.0ms (1.4% of total)

Bogosity

preprocess37.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (cos (+ x eps)) (cos x))

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

Call 2

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

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

explain309.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
141	0	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	1	(102.48461928077462 1.438208832483141e-9)	1	(-77.73975104509908 1.2572389456256238e-9)	`(cos.f64 (+.f64 x eps))`
0	0	-	0	-	`x`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`eps`

Results

205.0ms	340×	2	valid
34.0ms	162×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-cos: 112.0ms (67.3% of total)

backward-pass: 35.0ms (21% of total)

ival-add: 10.0ms (6% of total)

ival-sub: 8.0ms (4.8% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize219.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	x
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	50.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (cos (+ x eps)) (cos x))
(cos (+ x eps))
(+ x eps)
x
eps
(cos x)

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

Results

174.0ms	170×	2	valid
14.0ms	81×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-cos: 54.0ms (74% of total)

backward-pass: 10.0ms (13.7% of total)

ival-add: 5.0ms (6.9% of total)

ival-sub: 4.0ms (5.5% of total)

const: 0.0ms (0% of total)

series8.0ms (0%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite374.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

4936×	`accelerator-lowering-fma.f32`
4936×	`accelerator-lowering-fma.f64`
4656×	`-lowering-.f32`
4656×	`-lowering-.f64`
2192×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	50	17
2	376	17
3	4688	17
0	8201	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 231

Calls

Call 1

Inputs
(- (cos (+ x eps)) (cos x))
(cos (+ x eps))
(cos x)
(+ x eps)
x

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

simplify516.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

14158×	`accelerator-lowering-fma.f32`
14158×	`accelerator-lowering-fma.f64`
4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
3720×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	510
1	277	507
2	609	507
3	2401	506
4	7937	506
0	8087	486

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval38.0ms (0.2%)

Compiler: Compiled 8560 to 915 computations (89.3% saved)

prune41.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	334	8	342
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	334	9	343

Accuracy

99.7%

Counts

343 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	50.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	48.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶	49.1%	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	48.8%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	80.6%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
	99.3%	(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))

Compiler

Compiled 191 to 136 computations (28.8% saved)

localize579.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	cost-diff	0	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	cost-diff	6400	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	eps
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	cost-diff	0	x
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	cost-diff	0	#s(literal -1 binary64)
✓	cost-diff	0	eps
✓	cost-diff	0	(cos.f64 eps)
✓	cost-diff	0	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
✓	cost-diff	128	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (sin.f64 eps))
✓	accuracy	50.3%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	50.4%	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	50.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	51.5%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))

Rules

600×	`accelerator-lowering-fma.f32`
600×	`accelerator-lowering-fma.f64`
268×	`-lowering-.f32`
268×	`-lowering-.f64`
192×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	131
1	54	131
2	98	131
3	146	130
4	224	130
5	440	130
6	696	130
7	763	130
8	771	130
0	771	125

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

364.0ms	166×	2	valid
67.0ms	84×	1	valid
2.0ms	4×	0	valid
8.0ms	2×	3	valid

Compiler

Compiled 157 to 30 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-cos: 113.0ms (34.8% of total)

ival-sin: 108.0ms (33.2% of total)

backward-pass: 40.0ms (12.3% of total)

ival-mult: 23.0ms (7.1% of total)

ival-add: 16.0ms (4.9% of total)

ival-sub: 14.0ms (4.3% of total)

ival-div: 8.0ms (2.5% of total)

const: 2.0ms (0.6% of total)

series41.0ms (0.2%)

Counts

19 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite411.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5312×	`-lowering-.f32`
5312×	`-lowering-.f64`
4150×	`/-lowering-/.f32`
4150×	`/-lowering-/.f64`
3220×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	93
1	177	93
2	1613	93
0	8166	90

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 414

Calls

Call 1

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

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

simplify489.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

11330×	`accelerator-lowering-fma.f32`
11330×	`accelerator-lowering-fma.f64`
6112×	`-lowering-.f32`
6112×	`-lowering-.f64`
4056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	3045
1	1125	2892
2	3095	2851
3	6612	2851
0	8198	2670

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(* 1/2 (* eps (sin x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (.f64 #s(literal 1/4 binary64) (cos.f64 x)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64)))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal -1/48 binary64)))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (+.f64 (.f64 eps (*.f64 eps #s(literal -1/8 binary64))) #s(literal 1 binary64)) (sin.f64 x)))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/8 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))) (.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/6 binary64)))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 x (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))) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
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(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64)))))))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))) (.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/6 binary64)))) (sin.f64 x)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (+ (sin eps) (* -1/6 (* (pow x 2) (sin eps)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (sin.f64 eps)))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* 1/120 (* (pow x 2) (sin eps)))))))
(.f64 x (.f64 (sin.f64 eps) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ (sin eps) (* (pow x 2) (+ (* -1/6 (sin eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin eps))) (* 1/120 (sin eps))))))))
(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (sin.f64 eps))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) (sin.f64 eps))))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (sin.f64 x)))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x)))))))
(.f64 eps (.f64 (sin.f64 x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))))))
(* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (sin x))) (* 1/120 (sin x))))))))
(.f64 eps (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) #s(literal -1/5040 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (sin.f64 x))))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(* (sin eps) (sin x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (cos.f64 eps)) (-.f64 #s(literal 0 binary64) (.f64 x (sin.f64 eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))))))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(- (* (cos eps) (cos x)) (* (sin eps) (sin x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
x
x
x
x
x
x
x
x
x
x
x
x
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1/2 (* (pow x 2) (cos eps))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))) (cos.f64 eps))
(+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* 1/24 (* (pow x 2) (cos eps))))))
(.f64 (cos.f64 eps) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos eps))) (* 1/24 (cos eps)))))))
(+.f64 (.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (cos.f64 eps)))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (+.f64 (.f64 eps (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x))
(+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))))
(.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)))))
(+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos x))) (* 1/24 (cos x)))))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))))) (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))
(* (cos eps) (cos x))
(*.f64 (cos.f64 x) (cos.f64 eps))

eval158.0ms (0.9%)

Compiler: Compiled 19667 to 2159 computations (89% saved)

prune143.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1109	22	1131
Fresh	3	0	3
Picked	5	0	5
Done	0	1	1
Total	1117	23	1140

Accuracy

99.9%

Counts

1140 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	50.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	48.9%	(-.f64 (cos.f64 x) #s(literal 1 binary64))
	49.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	80.6%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	97.6%	(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 x (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))) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
	97.2%	(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
▶	48.8%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	50.2%	(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) eps) eps)
▶	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	97.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.8%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	35.6%	(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	96.5%	(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	80.6%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal -2 binary64))
	99.3%	(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
	50.2%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	77.9%	(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))

Compiler

Compiled 819 to 560 computations (31.6% saved)

localize594.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 35 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))
✓	cost-diff	512	(sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	cost-diff	512	(.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	512	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	eps
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	eps
✓	cost-diff	0	(*.f64 eps (sin.f64 x))
✓	cost-diff	0	#s(literal 0 binary64)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
✓	cost-diff	0	#s(literal -1 binary64)
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) eps)
✓	cost-diff	0	(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓	cost-diff	0	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
✓	cost-diff	0	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 eps eps)))
✓	accuracy	55.9%	(/.f64 eps (*.f64 eps eps))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 eps (sin.f64 x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
✓	accuracy	99.8%	(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))

Rules

8848×	`accelerator-lowering-fma.f32`
8848×	`accelerator-lowering-fma.f64`
4814×	`-lowering-.f32`
4814×	`-lowering-.f64`
2390×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	303
1	103	293
2	281	289
3	726	288
4	3316	287
5	4519	287
6	5466	287
7	7313	287
0	8153	259

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) -2)
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(sin (* 1/2 eps))
(* 1/2 eps)
1/2
eps
(sin (+ x (* 1/2 eps)))
(+ x (* 1/2 eps))
x
-2
(+ 1 -1)
1
-1
(- 0 (* eps (sin x)))
0
(* eps (sin x))
(sin x)
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(* eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))
-1/48
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(+ 1/3840 (* eps (* eps -1/645120)))
1/3840
(* eps (* eps -1/645120))
(* eps -1/645120)
-1/645120
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
2
(* (* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2))
(/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)
(+ (/ 1 (/ eps (* eps eps))) 0)
(/ 1 (/ eps (* eps eps)))
(/ eps (* eps eps))

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

Results

103.0ms	254×	0	valid
6.0ms	1×	5	exit
3.0ms	1×	3	valid

Compiler

Compiled 381 to 44 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 26.0ms (42.6% of total)

ival-sin: 16.0ms (26.2% of total)

ival-add: 8.0ms (13.1% of total)

ival-div: 7.0ms (11.5% of total)

const: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

series60.0ms (0.3%)

Counts

26 → 384

Calls

Call 1

Inputs
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (* (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) -2)>
#<alt (sin (* 1/2 eps))>
#<alt (+ 1 -1)>
#<alt (* eps (sin x))>
#<alt (sin x)>
#<alt (- 0 (* eps (sin x)))>
#<alt (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))>
#<alt (* eps (* eps -1/645120))>
#<alt (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))>
#<alt (/ eps (* eps eps))>
#<alt (/ 1 (/ eps (* eps eps)))>
#<alt (* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (* 1/2 eps)>
#<alt 1>
#<alt -1>
#<alt 0>
#<alt eps>
#<alt (* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))>
#<alt (* (* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2))>
#<alt (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)>

Outputs
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))>
#<alt (pow (sin (* 1/2 eps)) 2)>
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin (- (* 1/2 eps) (* -1 x)))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (+ x (* 1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (sin (- x (* -1/2 eps)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))>
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#<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 (* -1/645120 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
2.0ms	x	@	inf	(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
1.0ms	eps	@	-inf	(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
1.0ms	x	@	0	(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
1.0ms	eps	@	inf	(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))

rewrite391.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5550×	`accelerator-lowering-fma.f32`
5550×	`accelerator-lowering-fma.f64`
4546×	`-lowering-.f32`
4546×	`-lowering-.f64`
4252×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	242
1	237	224
2	2111	216
0	8917	196

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 759

Calls

Call 1

Inputs
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(sin (+ x (* 1/2 eps)))
(* (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))) -2)
(sin (* 1/2 eps))
(+ 1 -1)
(* eps (sin x))
(sin x)
(- 0 (* eps (sin x)))
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(* eps (* eps -1/645120))
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(/ eps (* eps eps))
(/ 1 (/ eps (* eps eps)))
(* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ eps (* x 2)) 2))
(* 1/2 eps)
1
-1
0
eps
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(* (* (sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(sin (/ (+ (/ 1 (/ eps (* eps eps))) 0) 2))
(/ (+ (/ 1 (/ eps (* eps eps))) 0) 2)

Outputs
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))
(+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (/.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x) (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))
(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x) (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x) (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal 1/2 binary64))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64))))))
(sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 x) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))) #s(literal -2 binary64))) #s(literal -2 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
(.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x))))
(.f64 (.f64 (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)) #s(literal -2 binary64)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) x)))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64))))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 eps (sin.f64 x)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) #s(literal 0 binary64))
(fma.f64 eps (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) (.f64 eps (sin.f64 x))) (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 (sin.f64 x) eps #s(literal 0 binary64))
(fma.f64 (/.f64 eps (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (.f64 eps (sin.f64 x))) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (.f64 eps (.f64 eps (sin.f64 x))) (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 eps (.f64 eps (sin.f64 x))) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 eps (sin.f64 x)) eps) (/.f64 (.f64 eps (sin.f64 x)) (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 eps (sin.f64 x)) (sin.f64 x)) (/.f64 (.f64 eps (sin.f64 x)) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) (sin.f64 x)) eps #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 eps eps) (sin.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))) eps) (/.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 0 binary64))
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(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))) eps)
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))))) #s(literal -2 binary64))) #s(literal -2 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(-.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64)))
(-.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) eps)))
(-.f64 #s(literal 0 binary64) (/.f64 eps #s(literal -2 binary64)))
(neg.f64 (/.f64 eps #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 eps #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) eps))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) eps)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))))
(/.f64 (.f64 eps eps) (.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (neg.f64 (.f64 #s(literal 2 binary64) eps)))
(/.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal 2 binary64) (.f64 eps eps)))
(/.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 eps eps))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(/.f64 (neg.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 eps eps)))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 (.f64 eps eps) (*.f64 eps eps)))
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 2 binary64)))
(.f64 (.f64 eps eps) (/.f64 #s(literal 1/2 binary64) eps))
(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 eps eps) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))))
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 (.f64 eps eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(.f64 (/.f64 (.f64 eps eps) (*.f64 eps eps)) (/.f64 eps #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (*.f64 eps eps)))
(.f64 (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (.f64 eps eps)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (.f64 eps eps))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 2 binary64)) (/.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) eps))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (*.f64 eps eps)))))
(.f64 (/.f64 (.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) eps)))
(.f64 (/.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(.f64 (/.f64 (.f64 eps eps) (/.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(.f64 (/.f64 (.f64 eps eps) (pow.f64 eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 1/2 binary64))))

simplify492.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

11420×	`accelerator-lowering-fma.f32`
11420×	`accelerator-lowering-fma.f64`
7192×	`-lowering-.f32`
7192×	`-lowering-.f64`
4554×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	4791
1	1196	4503
2	3766	4479
0	8114	4085

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(pow (sin (* 1/2 eps)) 2)
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (+ x (* 1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(sin (- x (* -1/2 eps)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
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(sin (* 1/2 eps))
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(sin (* 1/2 eps))
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(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* eps (sin x))
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x
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(* -1 (* eps (sin x)))
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(* -1 (* eps (sin x)))
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(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
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(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
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(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
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(* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
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(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
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(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
(/ 1 eps)
eps
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(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(pow (sin (* 1/2 eps)) 2)
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(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
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(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(sin x)
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(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (* 1/2 (+ eps (* 2 x))))
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(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 eps))
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(sin (* 1/2 (- eps (* -2 x))))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
eps
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(* -1 (* eps (sin x)))
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(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* -1/645120 (pow eps 7))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (pow (sin (* 1/2 eps)) 2))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)

Outputs
(* 1/2 (* eps (sin x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/12 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/48 binary64))))))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x #s(literal -1/6 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x x)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x #s(literal -1/2 binary64))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (*.f64 x #s(literal -1/6 binary64))))))))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- (* 1/2 eps) (* -1 x)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 eps (cos.f64 x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/8 binary64))))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/48 binary64)) (.f64 (sin.f64 x) #s(literal -1/8 binary64)))))))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (+ x (* 1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(sin (- x (* -1/2 eps)))
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64)) (.f64 (+.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 x x)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (- (* 1/2 eps) (* -1 x)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 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))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps x)
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(* x (+ eps (* -1/6 (* eps (pow x 2)))))
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(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
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(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
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(* eps (sin x))
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x
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(sin x)
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(sin x)
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(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
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(sin x)
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(* -1 (* eps (sin x)))
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(* -1 (* eps (sin x)))
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(* -1 (* eps (sin x)))
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(* -1 (* eps (sin x)))
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(* -1/48 (pow eps 2))
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(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
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(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
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(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
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(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
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(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
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(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* 1/2 (* eps (sin x)))
(.f64 #s(literal 1/2 binary64) (.f64 eps (sin.f64 x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 #s(literal 1/4 binary64) (.f64 eps (cos.f64 x)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 #s(literal 1/4 binary64) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/12 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
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(* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
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(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
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(* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* eps (* (sin (* 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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(* eps (* (sin (* 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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(* eps (* (sin (* 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 (* (sin (* 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 (* (sin (* 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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(* eps (+ 1/2 (* -1/48 (pow eps 2))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
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(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
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(* -1/645120 (pow eps 7))
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(* -1 (* eps (sin x)))
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(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
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(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 eps)
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(* eps (+ 1/2 (* -1/48 (pow eps 2))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 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))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)

eval458.0ms (2.5%)

Compiler: Compiled 112605 to 15872 computations (85.9% saved)

prune1.5s (8.3%)

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	3367	39	3406
Fresh	12	5	17
Picked	4	1	5
Done	0	1	1
Total	3383	46	3429

Accuracy

100.0%

Counts

3429 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	50.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	49.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	78.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (sin.f64 x)))
	79.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 eps eps) eps) (sin.f64 x)))
▶	80.6%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x)))
	22.7%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (sin.f64 x)))
	79.7%	(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))))
	79.4%	(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
	79.2%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	97.2%	(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
▶	99.9%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
	13.6%	(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1/322560 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))) (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 eps eps)) #s(literal -1/1920 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 6 binary64))))))
	99.4%	(.f64 (.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 eps (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))
	50.2%	(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) eps) eps)
	96.2%	(.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.9%	(.f64 (.f64 (.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal -1 binary64) eps) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.6%	(.f64 (.f64 (.f64 (/.f64 (.f64 eps eps) eps) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.3%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	34.2%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	50.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	26.6%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	50.7%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 eps #s(literal 1/2 binary64))) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	19.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	36.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 eps (.f64 eps (.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.3%	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 1/2 binary64))) (/.f64 (.f64 eps eps) (pow.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	26.6%	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.1%	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	34.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	97.3%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	51.5%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps)) (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.4%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
	96.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps)) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))))) #s(literal -2 binary64))
✓	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
	80.6%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal -2 binary64))
	80.6%	(*.f64 (neg.f64 (sin.f64 x)) eps)
	79.6%	(.f64 x (-.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) eps))
	79.4%	(.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	99.3%	(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
▶	48.8%	#s(literal 0 binary64)

Compiler

Compiled 2644 to 1644 computations (37.8% saved)

localize719.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 33 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1024	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (*.f64 eps eps)))
✓	cost-diff	1024	(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))
✓	cost-diff	1024	(.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	1024	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))))
✓	cost-diff	256	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	#s(literal 0 binary64)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x))
✓	cost-diff	256	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x)))
✓	cost-diff	0	#s(literal 0 binary64)
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64))))
✓	cost-diff	12928	(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))
✓	cost-diff	12928	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))
✓	accuracy	84.4%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	37.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (*.f64 eps eps)))
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64)))))

Rules

13034×	`accelerator-lowering-fma.f32`
13034×	`accelerator-lowering-fma.f64`
4858×	`-lowering-.f32`
4858×	`-lowering-.f64`
2586×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	391
1	140	387
2	584	387
3	3258	387
4	5066	387
5	7856	387
0	8154	351

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))) -2)
(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
(* (sin x) (cos (/ eps 2)))
(sin x)
x
(cos (/ eps 2))
(/ eps 2)
eps
2
(sin (/ eps 2))
(* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))
(* (sin (/ eps 2)) (cos x))
(cos x)
-2
0
(- 0 (* (/ 1 (/ 1 eps)) (sin x)))
(* (/ 1 (/ 1 eps)) (sin x))
(/ 1 (/ 1 eps))
1
(/ 1 eps)
(* (* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))
1/2
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(* eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))
-1/48
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(+ 1/3840 (* eps (* eps -1/645120)))
1/3840
(* eps (* eps -1/645120))
(* eps -1/645120)
-1/645120
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
(* (* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps)))
(/ (/ 1 (* eps (* eps eps))) (/ 1 eps))
(/ 1 (* eps (* eps eps)))
(* eps (* eps eps))

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

Results

140.0ms	254×	0	valid
5.0ms	2×	3	valid

Compiler

Compiled 628 to 47 computations (92.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 32.0ms (42.6% of total)

ival-sin: 11.0ms (14.6% of total)

ival-div: 10.0ms (13.3% of total)

ival-cos: 9.0ms (12% of total)

ival-add: 6.0ms (8% of total)

<compiled-spec>: 4.0ms (5.3% of total)

const: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

backward-pass: 1.0ms (1.3% of total)

series44.0ms (0.2%)

Counts

20 → 360

Calls

Call 1

Inputs
#<alt (+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))>
#<alt (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))>
#<alt (* (+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))) -2)>
#<alt (* (sin (/ eps 2)) (cos x))>
#<alt (/ 1 (/ 1 eps))>
#<alt (* (/ 1 (/ 1 eps)) (sin x))>
#<alt (sin x)>
#<alt (- 0 (* (/ 1 (/ 1 eps)) (sin x)))>
#<alt (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))>
#<alt (* eps (* eps -1/645120))>
#<alt (* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps)))>
#<alt (/ (/ 1 (* eps (* eps eps))) (/ 1 eps))>
#<alt (* (sin x) (cos (/ eps 2)))>
#<alt 0>
#<alt (* (* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))>
#<alt (* (* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))>

Outputs
#<alt (pow (sin (* 1/2 eps)) 2)>
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))>
#<alt (* 1/4 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/4 (cos x))))>
#<alt (* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/1440 (* (pow eps 2) (cos x)))))))>
#<alt (* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/80640 (* (pow eps 2) (cos x))) (* 1/1440 (cos x))))))))>
#<alt (* (cos x) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (cos x) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (cos x) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (cos x) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (cos x) (pow (sin (* 1/2 eps)) 2))>
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#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<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 (* -1/645120 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))>
#<alt (* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))>
#<alt (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))>

Calls

90 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
2.0ms	x	@	inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
1.0ms	eps	@	-inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
1.0ms	x	@	-inf	(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
0.0ms	x	@	inf	(* (+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))) -2)

rewrite503.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4686×	`accelerator-lowering-fma.f32`
4686×	`accelerator-lowering-fma.f64`
4244×	`-lowering-.f32`
4244×	`-lowering-.f64`
3306×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	277
1	264	257
2	2302	252
0	8278	226

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 727

Calls

Call 1

Inputs
(+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2))))
(* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))
(* (+ (* (* (sin x) (cos (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ eps 2)) (cos x)) (sin (/ eps 2)))) -2)
(* (sin (/ eps 2)) (cos x))
(/ 1 (/ 1 eps))
(* (/ 1 (/ 1 eps)) (sin x))
(sin x)
(- 0 (* (/ 1 (/ 1 eps)) (sin x)))
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(* eps (* eps -1/645120))
(* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps)))
(/ (/ 1 (* eps (* eps eps))) (/ 1 eps))
(* (sin x) (cos (/ eps 2)))
0
(* (* (* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (/ 1 (/ 1 eps)) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(* (* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))) (sin (/ (+ eps (* x 2)) 2)))
(* (* (/ (/ 1 (* eps (* eps eps))) (/ 1 eps)) (* eps (* eps eps))) (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))

Outputs
(+.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(+.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (-.f64 x (/.f64 eps #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (sin.f64 x) (.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
(fma.f64 (cos.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 x) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) eps))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps))) (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps))))) (/.f64 (.f64 eps (.f64 eps eps)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps))) (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps)))) (-.f64 (.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (*.f64 eps eps))) (/.f64 eps #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 eps (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) eps)
(.f64 (.f64 eps (.f64 eps eps)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))))
(.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps (*.f64 eps eps)))
(.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps eps))
(.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps)
(.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) eps))

simplify590.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

16428×	`accelerator-lowering-fma.f32`
16428×	`accelerator-lowering-fma.f64`
6238×	`-lowering-.f32`
6238×	`-lowering-.f64`
5028×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	431	6511
1	1442	5906
2	4826	5705
0	8099	5217

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(pow (sin (* 1/2 eps)) 2)
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(* 1/4 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/4 (cos x))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/1440 (* (pow eps 2) (cos x)))))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/80640 (* (pow eps 2) (cos x))) (* 1/1440 (cos x))))))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(pow (sin (* 1/2 eps)) 2)
(+ (* -1/2 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (pow (sin (* 1/2 eps)) 2))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/24 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))))) (pow (sin (* 1/2 eps)) 2))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (* 1/24 (pow (sin (* 1/2 eps)) 2)))))) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(* -2 (pow (sin (* 1/2 eps)) 2))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/3840 (* (pow eps 2) (cos x)))))))
(* eps (+ (* 1/2 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/645120 (* (pow eps 2) (cos x))) (* 1/3840 (cos x))))))))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* -1/2 (* (pow x 2) (sin (* 1/2 eps)))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* 1/24 (* (pow x 2) (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* (pow x 2) (+ (* -1/2 (sin (* 1/2 eps))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin (* 1/2 eps)))) (* 1/24 (sin (* 1/2 eps))))))))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
(* (cos x) (sin (* 1/2 eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps x)
(* x (+ eps (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps x))
(* x (- (* 1/6 (* eps (pow x 2))) eps))
(* x (- (* (pow x 2) (- (* -1/120 (* eps (pow x 2))) (* -1/6 eps))) eps))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* eps (pow x 2))) (* 1/120 eps))) (* -1/6 eps))) eps))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
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(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
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(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
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(* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
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(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* -1/645120 (pow eps 7))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))

Outputs
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64)))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps)))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(* 1/4 (* (pow eps 2) (cos x)))
(.f64 (cos.f64 x) (.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/48 (* (pow eps 2) (cos x))) (* 1/4 (cos x))))
(.f64 (.f64 (cos.f64 x) (.f64 eps eps)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* 1/1440 (* (pow eps 2) (cos x)))))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/1440 binary64))))))
(* (pow eps 2) (+ (* 1/4 (cos x)) (* (pow eps 2) (+ (* -1/48 (cos x)) (* (pow eps 2) (+ (* -1/80640 (* (pow eps 2) (cos x))) (* 1/1440 (cos x))))))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (cos.f64 x) (.f64 eps eps)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)))) (.f64 (cos.f64 x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* -1/2 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (pow (sin (* 1/2 eps)) 2))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/24 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))))) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ (* (pow x 2) (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (sin (* 1/2 eps)) 2))) (* 1/24 (pow (sin (* 1/2 eps)) 2)))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* (cos x) (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 x))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 x (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) x))))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -2 (+ (* (cos x) (pow (sin (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (* (sin x) (sin (* 1/2 eps))))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) #s(literal -2 binary64))
(* -1 (* eps (sin x)))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
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(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
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(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
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(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
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(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
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(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
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(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
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(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
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(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
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(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
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(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
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(* -1/645120 (pow eps 7))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
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(* -1/645120 (pow eps 7))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
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(* -1 (* eps (sin x)))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (cos.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) (sin.f64 x)))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 1/322560 binary64)))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 eps eps)) #s(literal -1/1920 binary64)) (.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 1/322560 binary64))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 eps eps)) #s(literal -1/1920 binary64)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal 1/322560 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 (.f64 eps eps) (*.f64 eps eps)))))))
(* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))
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(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 1/322560 binary64)))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))
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(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 (/.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 eps eps)) #s(literal 1/1920 binary64)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) #s(literal -1/322560 binary64)) (.f64 (/.f64 (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x)) (.f64 (.f64 eps eps) (*.f64 eps eps))) #s(literal -1/24 binary64))))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
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(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
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(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))))
(* -1/645120 (pow eps 7))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -1/645120 (pow eps 7))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal -1/645120 binary64) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))) (/.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))

eval146.0ms (0.8%)

Compiler: Compiled 48460 to 2957 computations (93.9% saved)

prune175.0ms (1%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1209	16	1225
Fresh	16	23	39
Picked	4	1	5
Done	0	2	2
Total	1229	42	1271

Accuracy

100.0%

Counts

1271 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) eps))
	80.5%	(/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) eps))
	81.1%	(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
✓	50.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	49.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	79.3%	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x))))
	78.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (sin.f64 x)))
	79.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 eps eps) eps) (sin.f64 x)))
	79.3%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) x))
	22.7%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (sin.f64 x)))
	79.7%	(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))))
	79.4%	(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
	79.2%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	97.2%	(+.f64 (.f64 x (.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (+.f64 (.f64 eps (.f64 x x)) (*.f64 eps #s(literal -2 binary64)))))
	99.6%	(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 x) (.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) #s(literal -2 binary64))
	29.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
	83.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (.f64 eps eps) (.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (+.f64 (/.f64 eps #s(literal 2 binary64)) (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) (.f64 eps (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	50.2%	(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) eps) eps)
	26.5%	(.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))) #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	96.2%	(.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.6%	(.f64 (.f64 (.f64 (/.f64 (.f64 eps eps) eps) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	34.1%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	19.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	36.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 eps (.f64 eps (.f64 eps eps))) (/.f64 eps (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	36.5%	(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	34.2%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	51.5%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps)) (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	97.4%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
	96.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps)) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	99.6%	(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
	80.6%	(.f64 (.f64 eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 eps (sin.f64 (+.f64 (.f64 #s(literal 1/2 binary64) eps) x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) #s(literal -2 binary64)))
	80.6%	(*.f64 (neg.f64 (sin.f64 x)) eps)
	79.6%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps))
	79.4%	(.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	99.3%	(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
✓	48.8%	#s(literal 0 binary64)

Compiler

Compiled 3152 to 1137 computations (63.9% saved)

regimes79.0ms (0.4%)

Counts

86 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) x))
(.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 eps eps))) eps) eps)
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 x (-.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) eps))
(-.f64 #s(literal 0 binary64) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 x)) eps)
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) eps))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal -2 binary64))
(.f64 (.f64 eps (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 eps eps) eps) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (sin.f64 x)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (sin.f64 x)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
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(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(.f64 eps (-.f64 (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) eps)) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps)) (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(+.f64 (.f64 x (.f64 (.f64 (.f64 eps #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (+.f64 (.f64 eps (.f64 x x)) (*.f64 eps #s(literal -2 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 1/2 binary64))) (/.f64 (.f64 eps eps) (pow.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 eps #s(literal 1/2 binary64))) (/.f64 (.f64 eps (.f64 eps eps)) (pow.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 x) (.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))))) #s(literal -2 binary64))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 x (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))) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1/322560 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))) (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 eps eps)) #s(literal -1/1920 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 6 binary64))))))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 x)) (sin.f64 (/.f64 eps #s(literal 2 binary64))))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

23.0ms	x
21.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes73.0ms (0.4%)

Counts

85 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
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(-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(.f64 (fma.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 (cos.f64 x) (.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (cos.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))) (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 eps #s(literal 2 binary64))))) (sin.f64 (/.f64 (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 x (/.f64 eps #s(literal 2 binary64)))))))) #s(literal -2 binary64))
(+.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 x (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))) (+.f64 #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) #s(literal 1/322560 binary64)) (.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))) (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (.f64 eps eps)) #s(literal -1/1920 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps))) (pow.f64 eps #s(literal 6 binary64))))))

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

Calls

3 calls:

23.0ms	eps
21.0ms	x
17.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Counts

63 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	eps
16.0ms	x
13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

9.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
8.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

Accuracy	Segments	Branch
80.6%	1	`x`
80.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
80.6%	1	`eps`
80.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
80.6%	1	`eps`
80.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
79.7%	1	`eps`
79.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
79.6%	1	`eps`
79.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
79.4%	1	`eps`
79.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
79.3%	1	`eps`
79.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
79.2%	1	`eps`
79.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
50.2%	1	`eps`
50.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
48.8%	1	`eps`
48.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness4.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 221 to 101 computations (54.3% saved)

preprocess79.0ms (0.4%)

Compiler: Compiled 490 to 234 computations (52.2% saved)

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

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

Iter	Nodes	Cost
0	29	131
1	54	131
2	98	131
3	146	130
4	224	130
5	440	130
6	696	130
7	763	130
8	771	130
0	771	125

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

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

Iter	Nodes	Cost
0	29	131
1	54	131
2	98	131
3	146	130
4	224	130
5	440	130
6	696	130
7	763	130
8	771	130
0	771	125

analyze52.0ms (0.3%)

sample8.8s (48%)

preprocess37.0ms (0.2%)

explain309.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize219.0ms (1.2%)

series8.0ms (0%)

rewrite374.0ms (2%)

simplify516.0ms (2.8%)

eval38.0ms (0.2%)

prune41.0ms (0.2%)

localize579.0ms (3.2%)

series41.0ms (0.2%)

rewrite411.0ms (2.2%)

simplify489.0ms (2.7%)

eval158.0ms (0.9%)

prune143.0ms (0.8%)

localize594.0ms (3.2%)

series60.0ms (0.3%)

rewrite391.0ms (2.1%)

simplify492.0ms (2.7%)

eval458.0ms (2.5%)

prune1.5s (8.3%)

localize719.0ms (3.9%)

series44.0ms (0.2%)

rewrite503.0ms (2.7%)

simplify590.0ms (3.2%)

eval146.0ms (0.8%)

prune175.0ms (1%)

regimes79.0ms (0.4%)

regimes73.0ms (0.4%)

regimes50.0ms (0.3%)

regimes21.0ms (0.1%)

regimes22.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

soundness4.0ms (0%)

preprocess79.0ms (0.4%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	29	131
1	54	131
2	98	131
3	146	130
4	224	130
5	440	130
6	696	130
7	763	130
8	771	130
0	771	125