Metrics for 2cos (problem 3.3.5)

analyze114.0ms (0.6%)

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: 48.0ms

ival-cos: 24.0ms (50.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (14.7% of total)

ival-mult: 3.0ms (6.3% of total)

ival-fabs: 3.0ms (6.3% of total)

ival-<=: 3.0ms (6.3% of total)

ival-<: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

ival-sub: 2.0ms (4.2% of total)

ival-and: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

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

sample9.0s (50.2%)

Results

3.4s	26138×	0	precondition
3.2s	5650×	2	valid
695.0ms	2530×	1	valid
13.0ms	76×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.9s

ival-cos: 2.2s (36.3% of total)

...c/correct-round.rkt:119:19: 827.0ms (13.9% of total)

ival-mult: 625.0ms (10.5% of total)

ival-add: 443.0ms (7.4% of total)

ival-<: 401.0ms (6.7% of total)

ival-<=: 377.0ms (6.3% of total)

ival-fabs: 375.0ms (6.3% of total)

backward-pass: 277.0ms (4.7% of total)

ival-sub: 269.0ms (4.5% of total)

ival-and: 154.0ms (2.6% of total)

const: 44.0ms (0.7% of total)

Bogosity

preprocess58.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

414×	`fnmadd-define`
382×	`sum3-define`
370×	`fmsub-define`
356×	`fnmsub-define`
316×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	43	44
2	89	42
3	178	42
4	438	42
5	863	42
6	1279	42
7	1611	42
8	1749	42
9	1832	42
10	1850	42
0	6	7
1	9	7
2	14	7
3	21	7
4	31	7
5	63	7
6	122	7
7	210	7
8	295	7
9	401	7
10	479	7
11	485	7
0	485	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))

explain221.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
146	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
1	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`x`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`eps`

Results

157.0ms	336×	2	valid
28.0ms	176×	1	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 110.0ms (78.3% of total)

backward-pass: 14.0ms (10% of total)

ival-add: 9.0ms (6.4% of total)

ival-sub: 7.0ms (5% of total)

const: 0.0ms (0% 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
▶	48.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	21	18
4	31	18
5	63	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	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)

localize133.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	48.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

75.0ms	168×	2	valid
14.0ms	88×	1	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-cos: 51.0ms (77.1% of total)

backward-pass: 7.0ms (10.6% of total)

ival-add: 4.0ms (6% of total)

ival-sub: 4.0ms (6% of total)

const: 0.0ms (0% of total)

series4.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite351.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
2160×	`fma-lowering-fma.f32`
2160×	`fma-lowering-fma.f64`
2148×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	50	16
2	408	16
3	5232	16
0	9160	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 195

Calls

Call 1

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

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

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

3196×	`-lowering-.f32`
3196×	`-lowering-.f64`
1368×	`fnmadd-define`
1248×	`neg-lowering-neg.f64`
1248×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	481
1	304	464
2	776	463
3	2952	463
0	8504	463

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval39.0ms (0.2%)

Compiler: Compiled 7623 to 791 computations (89.6% saved)

prune36.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	272	7	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	7	280

Accuracy

99.8%

Counts

280 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
▶	47.7%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
▶	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
▶	47.2%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.7%	(.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))
▶	77.8%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
	99.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))

Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1992×	`fnmadd-define`
1556×	`sum5-define`
1422×	`fmsub-define`
1414×	`fma-lowering-fma.f32`
1414×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	194
1	76	181
2	205	181
3	523	181
4	1497	181
5	5653	181
0	8125	181

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize547.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	48.4%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	48.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) eps)
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	49.1%	(+.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))))

Results

357.0ms	167×	2	valid
116.0ms	88×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 209 to 37 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-cos: 135.0ms (36.9% of total)

ival-mult: 79.0ms (21.6% of total)

ival-add: 63.0ms (17.2% of total)

backward-pass: 44.0ms (12% of total)

...c/correct-round.rkt:119:19: 14.0ms (3.8% of total)

ival-sin: 12.0ms (3.3% of total)

ival-sub: 9.0ms (2.5% of total)

ival-div: 8.0ms (2.2% of total)

const: 2.0ms (0.5% of total)

series23.0ms (0.1%)

Counts

20 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite449.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5496×	`-lowering-.f32`
5496×	`-lowering-.f64`
3230×	`+-lowering-+.f64`
3230×	`+-lowering-+.f32`
2832×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	131
1	214	122
2	2096	122
0	10443	122

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 345

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

Outputs
(/.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 (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))))
(-.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 #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))
(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))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (/.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (sin.f64 (/.f64 eps #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 #s(literal 0 binary64) (/.f64 eps #s(literal -2 binary64)))
(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 (-.f64 #s(literal 0 binary64) 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 (.f64 eps (.f64 eps eps)) (.f64 #s(literal 2 binary64) (.f64 eps eps)))
(/.f64 (.f64 eps eps) (.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (.f64 #s(literal -2 binary64) (.f64 eps eps)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 #s(literal -2 binary64) eps))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 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))
(+.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 #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)))))
(/.f64 (+.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 (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)))) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.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))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(pow.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)))) #s(literal -1 binary64))
(pow.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))) #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 #s(literal 1 binary64) (.f64 (cos.f64 eps) #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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (sin.f64 eps) #s(literal 0 binary64)))
(+.f64 (fma.f64 (cos.f64 eps) #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 0 binary64) (sin.f64 eps)))) (fma.f64 #s(literal 0 binary64) (sin.f64 eps) (.f64 #s(literal 0 binary64) (sin.f64 eps))))
(+.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 eps) (neg.f64 (.f64 (sin.f64 eps) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 0 binary64) (.f64 (sin.f64 eps) #s(literal 0 binary64))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 (/.f64 #s(literal 0 binary64) eps))) (.f64 (sin.f64 eps) (sin.f64 (/.f64 #s(literal 0 binary64) eps))))
(cos.f64 eps)
(-.f64 (.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (sin.f64 eps) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 eps)) (.f64 #s(literal 0 binary64) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 eps) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps))))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (.f64 eps (sin.f64 x))))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (neg.f64 (*.f64 eps (sin.f64 x))))
(neg.f64 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 (sin.f64 x) eps))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps eps))
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (.f64 eps eps))) eps)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (sin.f64 x)) (.f64 eps eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (sin.f64 x))
(sin.f64 x)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps))
(+.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) eps)
(-.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 eps eps)) eps)
(-.f64 (/.f64 #s(literal 0 binary64) eps) eps)
(fma.f64 #s(literal -1 binary64) eps #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps eps) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 eps eps)) eps #s(literal 0 binary64))
(neg.f64 eps)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(/.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))
(/.f64 (*.f64 eps eps) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (*.f64 eps eps))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 eps eps) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) eps)))))
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(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 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 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/2 binary64)) x)
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)

simplify313.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3764×	`+-lowering-+.f64`
3764×	`+-lowering-+.f32`
1114×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	2907
1	1088	2658
2	3364	2613
0	8041	2613

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(* -1 (* eps (sin x)))
(*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 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 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal -1/48 binary64)))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #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 (.f64 eps 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 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64))))))))))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(+.f64 (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(+.f64 (cos.f64 x) (+.f64 (.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/8 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (.f64 eps (*.f64 (cos.f64 x) #s(literal 1/2 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 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 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))

eval115.0ms (0.6%)

Compiler: Compiled 18958 to 1508 computations (92% saved)

prune81.0ms (0.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	749	23	772
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	754	25	779

Accuracy

100.0%

Counts

779 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
	47.8%	(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
	98.5%	(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
▶	47.2%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
▶	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	38.9%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	98.3%	(.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))
	99.7%	(.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))
	37.8%	(.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))
	97.9%	(.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))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	77.8%	(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
	76.7%	(.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps))
	76.7%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
▶	76.7%	(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
	77.8%	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	77.4%	(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
	77.1%	(*.f64 x (-.f64 #s(literal 0 binary64) eps))
	47.6%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
	77.4%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	99.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	48.5%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))

Compiler

Compiled 776 to 536 computations (30.9% saved)

simplify214.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
✓	cost-diff	256	(sin.f64 (/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps))
✓	cost-diff	256	(.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))))
✓	cost-diff	256	(.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))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 eps eps))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	384	(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	384	(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(.f64 eps (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps)
✓	cost-diff	0	(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(.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))

Rules

3176×	`-lowering-.f32`
3176×	`-lowering-.f64`
1660×	`+-lowering-+.f64`
1660×	`+-lowering-+.f32`
1580×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	276
1	100	260
2	299	260
3	906	234
4	2148	232
5	4446	230
0	8376	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* -1/48 (* eps eps))))
eps
(+ 1/2 (* -1/48 (* eps eps)))
1/2
(* -1/48 (* eps eps))
-1/48
(* eps eps)
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
(+ 1 -1)
1
-1
(* x (- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps))
x
(- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps)
(* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6))
(* eps (* x x))
eps
(* x x)
(+ (* (* x x) -1/120) 1/6)
(* (* x x) -1/120)
-1/120
1/6
(* (sin x) (* (- 0 (* eps eps)) (/ 1 eps)))
(sin x)
x
(* (- 0 (* eps eps)) (/ 1 eps))
(- 0 (* eps eps))
0
(* eps eps)
eps
(/ 1 eps)
1
(* (* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (* (* eps eps) 1/2) eps))
(/ (* (* eps eps) 1/2) eps)
(* (* eps eps) 1/2)
(* eps eps)
eps
1/2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2

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

localize168.0ms (0.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.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))
✓	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 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	57.4%	(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
✓	accuracy	100.0%	(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	57.3%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/120 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.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))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.6%	(.f64 #s(literal -1/48 binary64) (.f64 eps eps))

Results

105.0ms	255×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 293 to 40 computations (86.3% saved)

Precisions

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

ival-mult: 28.0ms (44.6% of total)

...c/correct-round.rkt:119:19: 14.0ms (22.3% of total)

ival-sin: 7.0ms (11.1% of total)

ival-div: 5.0ms (8% of total)

ival-add: 5.0ms (8% of total)

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

const: 1.0ms (1.6% of total)

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

series42.0ms (0.2%)

Counts

22 → 372

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ 1/2 (* -1/48 (* eps eps))))>
#<alt (+ 1/2 (* -1/48 (* eps eps)))>
#<alt (+ 1 -1)>
#<alt (* x (- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps))>
#<alt (- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps)>
#<alt (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6))>
#<alt (* eps (* x x))>
#<alt (* (sin x) (* (- 0 (* eps eps)) (/ 1 eps)))>
#<alt (* (- 0 (* eps eps)) (/ 1 eps))>
#<alt (sin x)>
#<alt (- 0 (* eps eps))>
#<alt (* (* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (sin (/ (* (* eps eps) 1/2) eps))>
#<alt (/ (* (* eps eps) 1/2) eps)>
#<alt (* -1/48 (* eps eps))>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (* (* x x) -1/120)>
#<alt (+ (* (* x x) -1/120) 1/6)>
#<alt (* eps eps)>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/24 (* (pow eps 3) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* 1/24 (* (pow eps 3) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<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 (* -1/48 (* (pow eps 3) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* -1/48 (* (pow eps 3) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* -1/48 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1/48 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* -1/120 (* eps (pow x 5)))>
#<alt (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* -1/120 (* eps (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))>
#<alt (* -1 eps)>
#<alt (- (* 1/6 (* eps (pow x 2))) eps)>
#<alt (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)>
#<alt (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* 1/6 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (pow (sin (* 1/2 eps)) 2)>
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (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 (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/120 (pow x 2)))>
#<alt (+ 1/6 (* -1/120 (pow x 2)))>
#<alt (+ 1/6 (* -1/120 (pow x 2)))>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>

Calls

93 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	inf	(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	0	(* x (- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps))
1.0ms	eps	@	inf	(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	-inf	(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite357.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

4040×	`-lowering-.f32`
4040×	`-lowering-.f64`
3080×	`/-lowering-/.f32`
3080×	`/-lowering-/.f64`
2298×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	199
1	189	190
2	1540	166
0	8881	166

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 498

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* -1/48 (* eps eps))))
(+ 1/2 (* -1/48 (* eps eps)))
(+ 1 -1)
(* x (- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps))
(- (* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6)) eps)
(* (* eps (* x x)) (+ (* (* x x) -1/120) 1/6))
(* eps (* x x))
(* (sin x) (* (- 0 (* eps eps)) (/ 1 eps)))
(* (- 0 (* eps eps)) (/ 1 eps))
(sin x)
(- 0 (* eps eps))
(* (* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (* (* eps eps) 1/2) eps)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (* (* eps eps) 1/2) eps))
(/ (* (* eps eps) 1/2) eps)
(* -1/48 (* eps eps))
(sin (/ (+ eps (* x 2)) 2))
(* (* x x) -1/120)
(+ (* (* x x) -1/120) 1/6)
(* eps eps)

Outputs
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 eps (.f64 (.f64 (+.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 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #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 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps 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 -2 binary64) (.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)))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
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(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/120 binary64))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 eps eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 eps eps))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(fma.f64 eps eps #s(literal 0 binary64))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.f64 eps eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))
(/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps eps))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))) (-.f64 #s(literal 0 binary64) (.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps (.f64 eps eps)))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) #s(literal 0 binary64)) (.f64 eps (.f64 eps (.f64 eps eps))))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (/.f64 (.f64 eps eps) (.f64 eps eps)))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps))
(.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (*.f64 eps eps) eps))
(.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 eps eps) (/.f64 (.f64 eps (*.f64 eps eps)) eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps eps))) (/.f64 (*.f64 eps eps) eps))
(.f64 (/.f64 (.f64 eps (*.f64 eps eps)) eps) (/.f64 eps eps))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) eps) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 eps eps))
(.f64 (/.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (.f64 eps (*.f64 eps eps))) eps))
(.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) eps) (/.f64 (.f64 eps eps) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (/.f64 (.f64 eps (*.f64 eps eps)) eps))
(.f64 (/.f64 (.f64 eps (.f64 eps eps)) (.f64 eps eps)) (/.f64 (.f64 eps (.f64 eps eps)) (*.f64 eps eps)))

simplify268.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

6680×	`-lowering-.f32`
6680×	`-lowering-.f64`
3430×	`+-lowering-+.f64`
3430×	`+-lowering-+.f32`
1650×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	4131
1	1153	3654
2	4239	3637
0	8603	3637

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* 1/24 (* (pow eps 3) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))
(* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))
(* (pow eps 3) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/24 (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/24 (* (pow eps 3) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (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))))))))))
(* -1/48 (* (pow eps 3) (sin (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/48 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* -1/48 (* (pow eps 3) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/48 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* -1/48 (pow eps 3))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1/48 (pow eps 3))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* -1/48 (pow eps 2)))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* -1/120 (* eps (pow x 5)))
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* -1/120 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))
(* -1 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
x
(* x (+ 1 (* -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 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (pow (sin (* 1/2 eps)) 2))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(pow (sin (* 1/2 eps)) 2)
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
(* -1/120 (pow x 2))
1/6
(+ 1/6 (* -1/120 (pow x 2)))
(+ 1/6 (* -1/120 (pow x 2)))
(+ 1/6 (* -1/120 (pow x 2)))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)

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

eval105.0ms (0.6%)

Compiler: Compiled 24812 to 2527 computations (89.8% saved)

prune111.0ms (0.6%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	960	26	986
Fresh	7	12	19
Picked	4	1	5
Done	0	1	1
Total	971	40	1011

Accuracy

100.0%

Counts

1011 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.4%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))
	67.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) x) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))
	47.8%	(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
	77.1%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	98.5%	(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
	76.7%	(.f64 (/.f64 (sin.f64 x) eps) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) #s(literal 1 binary64)))
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
	76.7%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)))
	98.3%	(.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.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))
	38.4%	(.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
▶	99.7%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	20.6%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.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))
	28.5%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.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))
	99.7%	(.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))
	97.9%	(.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))
	98.2%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) (.f64 eps eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	77.8%	(.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	76.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
	77.8%	(*.f64 (sin.f64 x) (neg.f64 eps))
	16.2%	(.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) eps)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) #s(literal 1 binary64))))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) eps))))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) eps)) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	77.3%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))))
	76.3%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
	23.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (*.f64 eps eps))))))
	76.2%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)))))
✓	77.4%	(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
	22.5%	(.f64 x (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))))
	76.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
▶	17.3%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (*.f64 x x)))))))
	47.6%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
	77.4%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	99.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	48.5%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
▶	47.2%	#s(literal 0 binary64)

Compiler

Compiled 2569 to 1139 computations (55.7% saved)

simplify232.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	256	(-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (*.f64 eps eps)))
✓	cost-diff	256	(.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x)
✓	cost-diff	896	(+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
✓	cost-diff	1152	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))
✓	cost-diff	256	(-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (*.f64 x x))))
✓	cost-diff	256	(+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (.f64 x x)))))
✓	cost-diff	256	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (.f64 x x))))))
✓	cost-diff	256	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (*.f64 x x)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))

Rules

5218×	`-lowering-.f32`
5218×	`-lowering-.f64`
2764×	`+-lowering-+.f64`
2764×	`+-lowering-+.f32`
1490×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	630
1	156	502
2	647	456
3	3481	451
4	7697	451
0	8106	451

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2)))) -2)
(* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2))))
(* eps (+ 1/2 (* -1/48 (* eps eps))))
eps
(+ 1/2 (* -1/48 (* eps eps)))
1/2
(* -1/48 (* eps eps))
-1/48
(* eps eps)
(sin (+ x (* eps 1/2)))
(+ x (* eps 1/2))
x
(* eps 1/2)
-2
0
(* x (* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))))
x
(* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))))
(* (* x x) (* x x))
(* x x)
(+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))
(* eps -1/120)
eps
-1/120
(- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))
(* eps (/ 1/6 (* x x)))
(/ 1/6 (* x x))
1/6
(/ eps (* (* x x) (* x x)))
(/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))
(* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x)
(- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps)))
(* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))))
(* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))
(* eps (* x x))
eps
(* x x)
x
(+ (* x (* x -1/120)) 1/6)
(* x (* x -1/120))
(* x -1/120)
-1/120
1/6
(* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))
(* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))
(* eps (* eps eps))
(* eps eps)
(+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))))
(* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))
(+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))
(* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))
(* eps 1/2)
eps
1/2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2

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

localize208.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 eps (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))
✓	accuracy	30.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	accuracy	90.6%	(/.f64 eps (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	59.1%	(.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	accuracy	31.1%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (.f64 x x))))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(.f64 #s(literal -1/48 binary64) (.f64 eps eps))

Results

124.0ms	255×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 679 to 50 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 41.0ms (54.1% of total)

...c/correct-round.rkt:119:19: 11.0ms (14.5% of total)

ival-add: 9.0ms (11.9% of total)

ival-div: 6.0ms (7.9% of total)

ival-sub: 4.0ms (5.3% of total)

ival-sin: 4.0ms (5.3% of total)

const: 1.0ms (1.3% of total)

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

series53.0ms (0.3%)

Counts

24 → 516

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2)))) -2)>
#<alt (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2))))>
#<alt (* eps (+ 1/2 (* -1/48 (* eps eps))))>
#<alt (+ 1/2 (* -1/48 (* eps eps)))>
#<alt (* x (* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))))>
#<alt (* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))))>
#<alt (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))>
#<alt (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))>
#<alt (/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))>
#<alt (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))))>
#<alt (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x)>
#<alt (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps)))>
#<alt (* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps 1/2)>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (* -1/48 (* eps eps))>
#<alt (sin (+ x (* eps 1/2)))>
#<alt (* eps (/ 1/6 (* x x)))>
#<alt (/ eps (* (* x x) (* x x)))>
#<alt (/ 1/6 (* x x))>
#<alt (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))>
#<alt (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))>
#<alt (* eps (* x x))>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/24 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))>
#<alt (* 1/24 (* (pow eps 3) (sin (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))))>
#<alt (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<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 (* -1/48 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* -1/48 (* (pow eps 3) (sin (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))>
#<alt (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))>
#<alt (+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* -1/48 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1/48 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
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#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))>
#<alt (* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))>
#<alt (* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))>
#<alt (* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))>
#<alt (* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))>
#<alt (* -1 (pow eps 3))>
#<alt (- (* 1/216 (* (pow eps 3) (pow x 6))) (pow eps 3))>
#<alt (- (* (pow x 6) (+ (* -1/1440 (* (pow eps 3) (pow x 2))) (* 1/216 (pow eps 3)))) (pow eps 3))>
#<alt (- (* (pow x 6) (+ (* 1/216 (pow eps 3)) (* (pow x 2) (+ (* -1/1440 (pow eps 3)) (* 1/28800 (* (pow eps 3) (pow x 2))))))) (pow eps 3))>
#<alt (* -1/1728000 (* (pow eps 3) (pow x 12)))>
#<alt (* (pow x 12) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2)))))>
#<alt (* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2))))))>
#<alt (* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (+ (* 1/28800 (/ (pow eps 3) (pow x 2))) (* 1/216 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1/1728000 (* (pow eps 3) (pow x 12)))>
#<alt (* (pow x 12) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2)))))>
#<alt (* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2))))))>
#<alt (* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (+ (* 1/28800 (/ (pow eps 3) (pow x 2))) (* 1/216 (/ (pow eps 3) (pow x 6)))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/8 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/48 (* eps (cos x))) (* 1/8 (sin x))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))>
#<alt (+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* x (+ (* 1/6 (* eps (* x (cos (* 1/2 eps))))) (* 1/2 (* eps (sin (* 1/2 eps)))))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* -1/16 (* eps (sin x))) (* 1/4 (cos x))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/96 (* eps (cos x)))))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* 1/2 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (* x (sin (* 1/2 eps))))) (* 1/2 (* eps (cos (* 1/2 eps)))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* 1/2 (* eps (cos (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (sin (* 1/2 eps)))) (* -1/12 (* eps (* x (cos (* 1/2 eps))))))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (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 (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* -1/48 (pow eps 2))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (+ 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 (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (* 1/6 (/ eps (pow x 2)))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ eps (pow x 4))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (* 1/36 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/360 (* eps (pow x 2))) (* 1/36 eps)))>
#<alt (* (pow x 2) (+ (* 1/36 eps) (* (pow x 2) (+ (* -1/360 eps) (* 1/14400 (* eps (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* 1/36 eps) (* (pow x 2) (+ (* -1/360 eps) (* 1/14400 (* eps (pow x 2)))))))>
#<alt (* 1/14400 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (* 1/14400 eps)))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))>
#<alt (* 1/14400 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (* 1/14400 eps)))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))>
#<alt (* 1/6 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* -1/120 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>

Calls

129 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))
6.0ms	eps	@	-inf	(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2)))) -2)
4.0ms	eps	@	0	(/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))
2.0ms	eps	@	0	(* x (* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))))
2.0ms	eps	@	-inf	(/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))

rewrite357.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5574×	`-lowering-.f32`
5574×	`-lowering-.f64`
2746×	`/-lowering-/.f32`
2746×	`/-lowering-/.f64`
1866×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	442
1	308	325
2	2941	310
0	9725	310

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 582

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2)))) -2)
(* (* eps (+ 1/2 (* -1/48 (* eps eps)))) (sin (+ x (* eps 1/2))))
(* eps (+ 1/2 (* -1/48 (* eps eps))))
(+ 1/2 (* -1/48 (* eps eps)))
(* x (* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))))
(* (* (* x x) (* x x)) (+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))))
(+ (* eps -1/120) (- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x)))))
(- (* eps (/ 1/6 (* x x))) (/ eps (* (* x x) (* x x))))
(/ (* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x) (+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))))
(+ (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))) (* eps (+ eps (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))))
(* (- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps))) x)
(- (* (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)) (* (* eps (* x x)) (* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))))) (* eps (* eps eps)))
(* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))
(* eps 1/2)
(sin (/ (+ eps (* x 2)) 2))
(* -1/48 (* eps eps))
(sin (+ x (* eps 1/2)))
(* eps (/ 1/6 (* x x)))
(/ eps (* (* x x) (* x x)))
(/ 1/6 (* x x))
(* (+ (* x (* x -1/120)) 1/6) (* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6)))
(* (* eps (* x x)) (+ (* x (* x -1/120)) 1/6))
(* eps (* x x))

Outputs
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps 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 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
(+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))))
(+.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) eps)
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(+.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps #s(literal 1/2 binary64)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/8 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 eps (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 eps (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64)))) eps) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64))) eps) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))) eps)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))
(+.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps #s(literal -1/48 binary64)) eps #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64)))) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/96 binary64) (.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/110592 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/110592 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/110592 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) (-.f64 (.f64 #s(literal -1/48 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/2304 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 eps #s(literal -1/120 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 eps #s(literal -1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 eps #s(literal -1/120 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 eps #s(literal -1/120 binary64))) x) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))) x))
(+.f64 (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(+.f64 (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/1728000 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/14400 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (-.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/14400 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))) (-.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))))) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))) x))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))) x)
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))))
(.f64 (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 eps #s(literal -1/120 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 eps #s(literal -1/120 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))) (.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))))
(/.f64 (.f64 (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 eps (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))
(.f64 (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 eps (.f64 x x)))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) eps) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))) (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(fma.f64 (.f64 eps (.f64 x x)) (.f64 (.f64 x x) #s(literal -1/120 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) (.f64 eps (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (*.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x)))))
(/.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))))
(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 eps (*.f64 x x)))
(.f64 (.f64 eps x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))) eps)
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) eps) (*.f64 x x))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (*.f64 eps x)) x)
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))
(.f64 (.f64 x x) eps)
(.f64 (.f64 eps x) x)

simplify334.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

7040×	`-lowering-.f32`
7040×	`-lowering-.f64`
3688×	`+-lowering-+.f64`
3688×	`+-lowering-+.f32`
1700×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	7667
1	2202	7076
0	8587	7076

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* 1/24 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(* 1/24 (* (pow eps 3) (sin (- x (* -1/2 eps)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (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))))))))))
(* -1/48 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(* -1/48 (* (pow eps 3) (sin (- x (* -1/2 eps)))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))
(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))
(+ (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* -1/48 (pow eps 3))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1/48 (pow eps 3))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* -1/48 (pow eps 2)))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* -1/120 (* eps (pow x 5)))
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* -1/120 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* eps (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 eps)
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* eps (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* eps (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* -1 (* eps (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4)))))
(* -1 (* eps (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ eps (pow x 4)))
(/ (- (* 1/6 (* eps (pow x 2))) eps) (pow x 4))
(/ (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps) (pow x 4))
(/ (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps) (pow x 4))
(* -1/120 eps)
(+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))
(+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* -1/120 eps)
(+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))
(+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* eps (- (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))
(* -1 (* eps (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* eps (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ eps (pow x 4)))
(/ (- (* 1/6 (* eps (pow x 2))) eps) (pow x 4))
(/ (- (* 1/6 (* eps (pow x 2))) eps) (pow x 4))
(/ (- (* 1/6 (* eps (pow x 2))) eps) (pow x 4))
(* 1/6 (/ eps (pow x 2)))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(* 1/6 (/ eps (pow x 2)))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(/ (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)) (pow x 2))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps)))) (* -1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 1/216 eps) (+ (* -1/6 (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps))) (+ (* 1/360 eps) (* 1/6 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)))))) (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps)))) (* -1/6 eps)))))
(* -1/120 (* eps (pow x 5)))
(* (pow x 5) (- (+ (* -1/120 eps) (* 1/2 (/ eps (pow x 2)))) (* 1/3 (/ eps (pow x 2)))))
(* (pow x 5) (- (+ (* -10 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/2 (/ eps (pow x 2))))) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (* eps (pow x 4)))) (+ (* -40 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 4))) (* 1/3 (/ eps (pow x 2)))))))
(* (pow x 5) (- (+ (* -10 (/ eps (pow x 4))) (+ (* -1/120 eps) (+ (* 1/2 (/ eps (pow x 2))) (* 200/3 (/ eps (pow x 6)))))) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (* eps (pow x 4)))) (+ (* -40 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 6))) (+ (* -40 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 4))) (+ (* -20 (/ eps (pow x 6))) (+ (* 1/3 (/ eps (pow x 2))) (* 14400 (/ (* (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (- (* 1/2 eps) (* 1/3 eps))) (* (pow eps 2) (pow x 6)))))))))))
(* -1/120 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (* 1/120 eps))))
(* -1 (* (pow x 5) (+ (* -1 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (* 1/120 eps)))))
(* -1 (* (pow x 5) (+ (* -1 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (+ (* -1 (/ (- (* 200/3 eps) (+ (* -40 (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps)))))) (+ (* -20 eps) (* 14400 (/ (* (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (- (* 1/2 eps) (* 1/3 eps))) (pow eps 2)))))) (pow x 6))) (* 1/120 eps))))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(pow eps 2)
(+ (* 1/6 (* (pow eps 2) (pow x 2))) (pow eps 2))
(+ (* (pow x 2) (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2)))))) (pow eps 2))
(+ (* (pow x 2) (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/120 (pow eps 2)) (+ (* -1/360 (* (pow eps 2) (pow x 2))) (* 1/36 (pow eps 2))))))) (pow eps 2))
(* 1/14400 (* (pow eps 2) (pow x 8)))
(* (pow x 8) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (* 1/14400 (pow eps 2))))
(* (pow x 8) (+ (* -1/120 (/ (pow eps 2) (pow x 4))) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (+ (* 1/14400 (pow eps 2)) (* 1/36 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 8) (+ (* -1/120 (/ (pow eps 2) (pow x 4))) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (+ (* 1/14400 (pow eps 2)) (+ (* 1/36 (/ (pow eps 2) (pow x 4))) (* 1/6 (/ (pow eps 2) (pow x 6))))))))
(* 1/14400 (* (pow eps 2) (pow x 8)))
(* (pow x 8) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (* 1/14400 (pow eps 2))))
(* (pow x 8) (+ (* -1/120 (/ (pow eps 2) (pow x 4))) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (+ (* 1/14400 (pow eps 2)) (* 1/36 (/ (pow eps 2) (pow x 4)))))))
(* (pow x 8) (+ (* -1/120 (/ (pow eps 2) (pow x 4))) (+ (* -1/360 (/ (pow eps 2) (pow x 2))) (+ (* 1/14400 (pow eps 2)) (+ (* 1/36 (/ (pow eps 2) (pow x 4))) (* 1/6 (/ (pow eps 2) (pow x 6))))))))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* (pow eps 3) (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1)))
(* -1 (* (pow eps 3) (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))))
(* -1 (* (pow eps 3) (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))))
(* -1 (* (pow eps 3) (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))))
(* -1 (* (pow eps 3) (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))))
(* -1 (* (pow eps 3) x))
(* x (+ (* -1 (pow eps 3)) (* 1/216 (* (pow eps 3) (pow x 6)))))
(* x (+ (* -1 (pow eps 3)) (* (pow x 6) (+ (* -1/1440 (* (pow eps 3) (pow x 2))) (* 1/216 (pow eps 3))))))
(* x (+ (* -1 (pow eps 3)) (* (pow x 6) (+ (* 1/216 (pow eps 3)) (* (pow x 2) (+ (* -1/1440 (pow eps 3)) (* 1/28800 (* (pow eps 3) (pow x 2)))))))))
(* -1/1728000 (* (pow eps 3) (pow x 13)))
(* (pow x 13) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2)))))
(* (pow x 13) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2))))))
(* (pow x 13) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (+ (* 1/28800 (/ (pow eps 3) (pow x 2))) (* 1/216 (/ (pow eps 3) (pow x 6)))))))
(* -1/1728000 (* (pow eps 3) (pow x 13)))
(* -1 (* (pow x 13) (+ (* -1/28800 (/ (pow eps 3) (pow x 2))) (* 1/1728000 (pow eps 3)))))
(* -1 (* (pow x 13) (+ (* -1/28800 (/ (pow eps 3) (pow x 2))) (+ (* 1/1728000 (pow eps 3)) (* 1/1440 (/ (pow eps 3) (pow x 4)))))))
(* -1 (* (pow x 13) (+ (* -1/216 (/ (pow eps 3) (pow x 6))) (+ (* -1/28800 (/ (pow eps 3) (pow x 2))) (+ (* 1/1728000 (pow eps 3)) (* 1/1440 (/ (pow eps 3) (pow x 4))))))))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* (pow eps 3) (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))
(* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))
(* -1 (* (pow eps 3) (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3))))))
(* -1 (pow eps 3))
(- (* 1/216 (* (pow eps 3) (pow x 6))) (pow eps 3))
(- (* (pow x 6) (+ (* -1/1440 (* (pow eps 3) (pow x 2))) (* 1/216 (pow eps 3)))) (pow eps 3))
(- (* (pow x 6) (+ (* 1/216 (pow eps 3)) (* (pow x 2) (+ (* -1/1440 (pow eps 3)) (* 1/28800 (* (pow eps 3) (pow x 2))))))) (pow eps 3))
(* -1/1728000 (* (pow eps 3) (pow x 12)))
(* (pow x 12) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2)))))
(* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2))))))
(* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (+ (* 1/28800 (/ (pow eps 3) (pow x 2))) (* 1/216 (/ (pow eps 3) (pow x 6)))))))
(* -1/1728000 (* (pow eps 3) (pow x 12)))
(* (pow x 12) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2)))))
(* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (* 1/28800 (/ (pow eps 3) (pow x 2))))))
(* (pow x 12) (+ (* -1/1440 (/ (pow eps 3) (pow x 4))) (+ (* -1/1728000 (pow eps 3)) (+ (* 1/28800 (/ (pow eps 3) (pow x 2))) (* 1/216 (/ (pow eps 3) (pow x 6)))))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/8 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/48 (* eps (cos x))) (* 1/8 (sin x))))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* eps (sin (* 1/2 eps))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* -1 (* eps (* x (cos (* 1/2 eps))))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* 1/2 (* eps (* x (sin (* 1/2 eps))))))))
(+ (* -1 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1 (* eps (cos (* 1/2 eps)))) (* x (+ (* 1/6 (* eps (* x (cos (* 1/2 eps))))) (* 1/2 (* eps (sin (* 1/2 eps)))))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* -1/16 (* eps (sin x))) (* 1/4 (cos x))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/96 (* eps (cos x)))))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* 1/2 (* eps (sin (* 1/2 eps))))
(+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* 1/2 (* eps (* x (cos (* 1/2 eps))))))
(+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (* x (sin (* 1/2 eps))))) (* 1/2 (* eps (cos (* 1/2 eps)))))))
(+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* 1/2 (* eps (cos (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (sin (* 1/2 eps)))) (* -1/12 (* eps (* x (cos (* 1/2 eps))))))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (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)
(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))))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(* -1/48 (pow eps 2))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (+ 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)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(* 1/6 (/ eps (pow x 2)))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ eps (pow x 4))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 1/36 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/360 (* eps (pow x 2))) (* 1/36 eps)))
(* (pow x 2) (+ (* 1/36 eps) (* (pow x 2) (+ (* -1/360 eps) (* 1/14400 (* eps (pow x 2)))))))
(* (pow x 2) (+ (* 1/36 eps) (* (pow x 2) (+ (* -1/360 eps) (* 1/14400 (* eps (pow x 2)))))))
(* 1/14400 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (* 1/14400 eps)))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))
(* 1/14400 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (* 1/14400 eps)))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/360 (/ eps (pow x 2))) (+ (* 1/14400 eps) (* 1/36 (/ eps (pow x 4))))))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* -1/120 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))

Outputs
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (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 #s(literal -1/2 binary64) (cos.f64 x)) (.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)))
(* 1/24 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1 (/ (sin (+ x (* 1/2 eps))) (pow eps 2))) (* 1/24 (sin (+ x (* 1/2 eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps eps))))
(* 1/24 (* (pow eps 3) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 #s(literal 1/24 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/24 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/24 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin (- x (* -1/2 eps)))) (/ (sin (- x (* -1/2 eps))) (pow eps 2)))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -1/24 binary64)) (/.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (.f64 eps (*.f64 eps eps))))
(* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))
(.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))))))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 x (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (*.f64 eps x))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* -1/48 (pow eps 2))))))))))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) eps) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))) (.f64 (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 eps #s(literal 1/3 binary64)))) (.f64 x x)))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (+ x (* 1/2 eps))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* -1/48 (pow eps 2))))))
(.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -2 binary64)))
(* 1/2 (* eps (sin x)))
(.f64 (.f64 eps (sin.f64 x)) #s(literal 1/2 binary64))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 (cos.f64 x) (.f64 #s(literal 1/4 binary64) eps))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 (.f64 eps (cos.f64 x)) #s(literal -1/48 binary64))))))))
(* -1/48 (* (pow eps 3) (sin (+ x (* 1/2 eps)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/48 (sin (+ x (* 1/2 eps)))) (* 1/2 (/ (sin (+ x (* 1/2 eps))) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (/.f64 (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 eps eps))))
(* -1/48 (* (pow eps 3) (sin (- x (* -1/2 eps)))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/2 (/ (sin (- x (* -1/2 eps))) (pow eps 2))) (* 1/48 (sin (- x (* -1/2 eps)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) (.f64 eps eps)) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/48 binary64))) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
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(/ (* eps (* x (- (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)) 1))) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* -1 (/ (* eps (* x (+ 1 (* -1 (* (pow x 6) (pow (+ 1/6 (* -1/120 (pow x 2))) 3)))))) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 x (-.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/6 binary64))) eps))
(* x (+ (* -1 eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps)))) (* -1/6 eps)))))
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(* x (+ (* -1 eps) (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 1/216 eps) (+ (* -1/6 (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps))) (+ (* 1/360 eps) (* 1/6 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)))))) (+ (* -1 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* 1/36 eps)))) (* -1/6 eps)))))
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(* -1/120 (* eps (pow x 5)))
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(* (pow x 5) (- (+ (* -1/120 eps) (* 1/2 (/ eps (pow x 2)))) (* 1/3 (/ eps (pow x 2)))))
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(* (pow x 5) (- (+ (* -10 (/ eps (pow x 4))) (+ (* -1/120 eps) (+ (* 1/2 (/ eps (pow x 2))) (* 200/3 (/ eps (pow x 6)))))) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (* eps (pow x 4)))) (+ (* -40 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 6))) (+ (* -40 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 4))) (+ (* -20 (/ eps (pow x 6))) (+ (* 1/3 (/ eps (pow x 2))) (* 14400 (/ (* (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (- (* 1/2 eps) (* 1/3 eps))) (* (pow eps 2) (pow x 6)))))))))))
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(* -1/120 (* eps (pow x 5)))
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(* -1 (* (pow x 5) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (* 1/120 eps))))
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(* -1 (* (pow x 5) (+ (* -1 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (* 1/120 eps)))))
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(* -1 (* (pow x 5) (+ (* -1 (/ (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2 eps) (* 1/3 eps)) (pow x 2))) (+ (* -1 (/ (- (* 200/3 eps) (+ (* -40 (- (* -10 eps) (+ (* -120 (/ (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) eps)) (* -40 (- (* 1/2 eps) (* 1/3 eps)))))) (+ (* -20 eps) (* 14400 (/ (* (+ (* -1/120 (pow eps 2)) (* 1/36 (pow eps 2))) (- (* 1/2 eps) (* 1/3 eps))) (pow eps 2)))))) (pow x 6))) (* 1/120 eps))))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ 1 (+ (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2)))))
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(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (neg.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))))))
(* (pow eps 2) (+ (* -1 (- (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))) 1)) (* (pow x 4) (pow (+ 1/6 (* -1/120 (pow x 2))) 2))))
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(pow eps 2)
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(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(* -1 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* -1 (* eps (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) eps))
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(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* -1 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
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(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(* -1 (* eps (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
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(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(* 1/2 (* eps (sin x)))
(.f64 (.f64 eps (sin.f64 x)) #s(literal 1/2 binary64))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
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(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 (* eps (sin (* 1/2 eps))))
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(+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* 1/2 (* eps (* x (cos (* 1/2 eps))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
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(* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))
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(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
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(sin.f64 x)
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(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
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(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
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(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* eps (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* 1/6 (* eps (pow x 2)))
(.f64 eps (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(.f64 (.f64 eps (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* -1/120 (* eps (pow x 4)))
(.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1/120 (* eps (pow x 4)))
(.f64 #s(literal -1/120 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))
(* eps (pow x 2))
(.f64 eps (.f64 x x))

eval474.0ms (2.7%)

Compiler: Compiled 94521 to 3975 computations (95.8% saved)

prune203.0ms (1.1%)

Pruning

71 alts after pruning (68 fresh and 3 done)

	Pruned	Kept	Total
New	1373	45	1418
Fresh	10	23	33
Picked	3	2	5
Done	1	1	2
Total	1387	71	1458

Accuracy

100.0%

Counts

1458 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 eps eps) (.f64 x (.f64 x (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
	17.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (*.f64 eps eps))
	67.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) x) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))
	9.4%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/1728000 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/14400 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (-.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64))))))
	98.5%	(-.f64 (.f64 x (-.f64 (.f64 (.f64 x (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
	77.1%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	23.0%	(.f64 (/.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (.f64 eps eps))))
	16.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (.f64 x (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (*.f64 eps eps)))))
	99.8%	(.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))) #s(literal -2 binary64))
	13.7%	(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
	98.3%	(.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	38.4%	(.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	42.9%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))))) #s(literal -2 binary64))
✓	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
	77.8%	(.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal -2 binary64))
	20.6%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.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))
	28.5%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.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))
	99.7%	(.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))
	97.9%	(.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))
	98.2%	(.f64 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) (.f64 eps eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	16.6%	(.f64 (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
	77.4%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	76.3%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
	99.7%	(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
	77.8%	(*.f64 (sin.f64 x) (neg.f64 eps))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) eps))))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) eps)) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	77.3%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
	77.4%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))))
	76.3%	(.f64 x (/.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
	23.0%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (*.f64 eps eps))))))
	76.2%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)))))
✓	77.4%	(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
	76.0%	(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
	16.8%	(.f64 x (.f64 (.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x))) x))
	17.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 eps (.f64 x (.f64 x (.f64 x x)))))))
	16.6%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64)))))
	9.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (.f64 eps (/.f64 eps (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 eps (/.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 x (.f64 x (*.f64 x x)))))))))))
	9.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (/.f64 eps (.f64 x x)) x)) x))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 eps (.f64 x (*.f64 x x)))) x))))
	17.3%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) eps)) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) eps))))))
	17.0%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (.f64 x x) (/.f64 eps (.f64 x x)))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 x x) (/.f64 eps (.f64 x x))))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) x) (.f64 x (/.f64 eps (.f64 x (.f64 x x))))) (.f64 x x)))))
	12.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
	13.6%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 eps x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (.f64 (.f64 x x) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 x (*.f64 x x))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (.f64 (.f64 x x) (/.f64 eps (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))))
	13.7%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (/.f64 (.f64 x (.f64 x (.f64 x x))) eps)) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) eps))))))
	12.6%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) eps)) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
	13.6%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 eps x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps x) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (*.f64 x x)))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 (/.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) x)))))
	17.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))) (.f64 (.f64 x x) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))))
	12.7%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))))))
	9.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 (/.f64 eps x) (.f64 x (.f64 x x)))))))
	17.3%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) eps))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 eps (.f64 x x))))))))
	17.5%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
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	12.7%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))))
	17.1%	(.f64 x (.f64 (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))) (*.f64 x x)))
	17.8%	(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))))))))
	47.6%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
	77.4%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	99.7%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	48.5%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
✓	47.2%	#s(literal 0 binary64)

Compiler

Compiled 6444 to 1851 computations (71.3% saved)

regimes95.0ms (0.5%)

Counts

102 → 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 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
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(.f64 (.f64 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.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 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.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 (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 x (-.f64 (.f64 (.f64 x (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 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 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))))) #s(literal -2 binary64))

Outputs

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

Calls

3 calls:

27.0ms	eps
25.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes92.0ms (0.5%)

Counts

100 → 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 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))))))))
(.f64 x (.f64 (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))))) (*.f64 x x)))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (*.f64 x x)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64)))))
(.f64 x (.f64 (.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 eps (.f64 x (*.f64 x x)))) x))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (/.f64 eps (.f64 x x)) x)) x))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 eps (.f64 x (.f64 x (.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 eps (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 (/.f64 eps x) (.f64 x (.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 eps (.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (-.f64 (.f64 eps (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) eps))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) x) (.f64 x (/.f64 eps (.f64 x (.f64 x x))))) (.f64 x x)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (.f64 (.f64 x x) (/.f64 eps (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) x) (.f64 (.f64 x x) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x x))) (.f64 (.f64 x x) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps x) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (/.f64 eps x))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) eps)) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) (/.f64 (/.f64 eps (.f64 x x)) x))) (.f64 (/.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) x)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 eps x))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 eps (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) eps)) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (.f64 x x) (/.f64 eps (.f64 x x)))) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 x x) (/.f64 eps (.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 eps #s(literal 1/6 binary64)) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) eps)) (.f64 x #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) eps))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) eps))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (-.f64 (.f64 eps (/.f64 (.f64 x (.f64 x (.f64 x x))) eps)) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 1/6 binary64)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) eps))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)) x) (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (*.f64 eps eps))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 eps eps) (.f64 x (.f64 x (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
(.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) eps)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) #s(literal 1 binary64))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))))))))
(.f64 (/.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (.f64 eps eps))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (.f64 x (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (*.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))
(.f64 x (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (*.f64 eps eps))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/1728000 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/14400 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (-.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (.f64 eps (/.f64 eps (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 eps (/.f64 (.f64 x x) #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (.f64 x (.f64 x (*.f64 x x)))))))))))
(.f64 (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 eps #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal -2 binary64))
(.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) eps))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (sin.f64 x)) eps)
(.f64 (sin.f64 x) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (sin.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 eps eps))))
(.f64 (/.f64 (sin.f64 x) eps) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(-.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 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 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 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 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps #s(literal 1/2 binary64))) (.f64 (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 eps (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 eps (.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 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.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 (.f64 (sin.f64 (.f64 (/.f64 #s(literal 1/2 binary64) 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 (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 eps (.f64 eps eps)) #s(literal 1/2 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 (sin.f64 (/.f64 (.f64 (/.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.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 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 eps (.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 (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 x (-.f64 (.f64 (.f64 x (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))) (.f64 eps (sin.f64 (*.f64 eps #s(literal 1/2 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 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))

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

Calls

3 calls:

26.0ms	eps
25.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes59.0ms (0.3%)

Counts

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

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

Calls

2 calls:

20.0ms	x
20.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes54.0ms (0.3%)

Counts

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

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

Calls

2 calls:

20.0ms	x
17.0ms	eps

Results

Accuracy	Segments	Branch
77.8%	1	`x`
77.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes49.0ms (0.3%)

Counts

62 → 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 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
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(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (-.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps))
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(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 eps eps) (.f64 x (.f64 x (.f64 eps (*.f64 eps #s(literal 1/6 binary64)))))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal 1/216 binary64)) (.f64 eps (.f64 x x))) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1 binary64) eps))))
(.f64 x (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64)))))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) eps)) (.f64 (-.f64 (.f64 eps (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/120 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) eps)) #s(literal 1 binary64))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))))))))
(.f64 (/.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (.f64 eps eps))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 eps (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 eps #s(literal -1/6 binary64)) (/.f64 eps (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64)) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 (.f64 x x) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))) (+.f64 eps (.f64 eps (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))))))) (.f64 x (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 eps (.f64 x x))))) (.f64 eps (*.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) x) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (*.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))
(.f64 x (.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))))))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))) (.f64 eps (+.f64 eps (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 x x)) (+.f64 (.f64 x (.f64 x #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))))) (.f64 eps (*.f64 eps eps))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/1728000 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))))))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/14400 binary64)) (.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (-.f64 (.f64 eps (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (*.f64 eps #s(literal -1/120 binary64))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))

Outputs

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

Calls

2 calls:

29.0ms	eps
16.0ms	x

Results

Accuracy	Segments	Branch
77.4%	1	`eps`
77.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts

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

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

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
77.4%	1	`eps`
77.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
77.1%	1	`eps`
77.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

4 → 2

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

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

Calls

2 calls:

4.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
48.5%	1	`eps`
51.0%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 3 to 2 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	eps
1.0ms	x

Results

Accuracy	Segments	Branch
47.2%	1	`eps`
47.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch54.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-7.039638501078502e-142	-1.1828472445600983e-148

Results

39.0ms	102×	2	valid
8.0ms	42×	1	valid

Compiler

Compiled 158 to 118 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 27.0ms (77.9% of total)

backward-pass: 3.0ms (8.7% of total)

ival-add: 2.0ms (5.8% of total)

ival-sub: 2.0ms (5.8% of total)

const: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative_binary64`
56×	`+-commutative_binary64`
48×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64`
42×	`sub-neg_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	58	128
1	99	128
2	119	128
3	145	128
4	165	128
5	181	128
6	197	127
7	213	127
8	222	127
9	237	127
10	252	127
11	269	127
12	277	127
13	281	127
14	282	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps 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 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(if (<=.f64 x #s(literal -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

Outputs
(.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 (cos.f64 x) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps)))))) #s(literal -2 binary64))
(.f64 (+.f64 (.f64 (.f64 (sin.f64 x) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (.f64 (cos.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64))))))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(if (<=.f64 x #s(literal -4805358362091427/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

soundness2.5s (13.8%)

Rules

7040×	`-lowering-.f32`
7040×	`-lowering-.f64`
6680×	`-lowering-.f32`
6680×	`-lowering-.f64`
5574×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	4131
1	1153	3654
2	4239	3637
0	8603	3637
0	105	481
1	304	464
2	776	463
3	2952	463
0	8504	463
0	39	199
1	189	190
2	1540	166
0	8881	166
0	48	442
1	308	325
2	2941	310
0	9725	310
0	36	131
1	214	122
2	2096	122
0	10443	122
0	609	7667
1	2202	7076
0	8587	7076
0	335	2907
1	1088	2658
2	3364	2613
0	8041	2613
0	6	16
1	50	16
2	408	16
3	5232	16
0	9160	16

Stop Event

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

Compiler

Compiled 389 to 249 computations (36% saved)

preprocess54.0ms (0.3%)

Compiler: Compiled 312 to 148 computations (52.6% saved)

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	21	18
4	31	18
5	63	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	58	128
1	99	128
2	119	128
3	145	128
4	165	128
5	181	128
6	197	127
7	213	127
8	222	127
9	237	127
10	252	127
11	269	127
12	277	127
13	281	127
14	282	127

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	21	18
4	31	18
5	63	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	58	128
1	99	128
2	119	128
3	145	128
4	165	128
5	181	128
6	197	127
7	213	127
8	222	127
9	237	127
10	252	127
11	269	127
12	277	127
13	281	127
14	282	127

analyze114.0ms (0.6%)

sample9.0s (50.2%)

preprocess58.0ms (0.3%)

explain221.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize133.0ms (0.7%)

series4.0ms (0%)

rewrite351.0ms (2%)

simplify162.0ms (0.9%)

eval39.0ms (0.2%)

prune36.0ms (0.2%)

simplify133.0ms (0.7%)

localize547.0ms (3.1%)

series23.0ms (0.1%)

rewrite449.0ms (2.5%)

simplify313.0ms (1.8%)

eval115.0ms (0.6%)

prune81.0ms (0.5%)

simplify214.0ms (1.2%)

localize168.0ms (0.9%)

series42.0ms (0.2%)

rewrite357.0ms (2%)

simplify268.0ms (1.5%)

eval105.0ms (0.6%)

prune111.0ms (0.6%)

simplify232.0ms (1.3%)

localize208.0ms (1.2%)

series53.0ms (0.3%)

rewrite357.0ms (2%)

simplify334.0ms (1.9%)

eval474.0ms (2.7%)

prune203.0ms (1.1%)

regimes95.0ms (0.5%)

regimes92.0ms (0.5%)

regimes59.0ms (0.3%)

regimes54.0ms (0.3%)

regimes49.0ms (0.3%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch54.0ms (0.3%)

simplify18.0ms (0.1%)

soundness2.5s (13.8%)

preprocess54.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	9	18
2	14	18
3	21	18
4	31	18
5	63	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	58	128
1	99	128
2	119	128
3	145	128
4	165	128
5	181	128
6	197	127
7	213	127
8	222	127
9	237	127
10	252	127
11	269	127
12	277	127
13	281	127
14	282	127