Metrics for 2sin (example 3.3)

analyze67.0ms (0.5%)

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: 36.0ms

ival-sin: 9.0ms (24.8% of total)

...c/correct-round.rkt:119:19: 7.0ms (19.3% of total)

ival-<=: 6.0ms (16.5% of total)

ival-mult: 3.0ms (8.3% of total)

ival-add: 2.0ms (5.5% of total)

ival-fabs: 2.0ms (5.5% of total)

ival-sub: 2.0ms (5.5% of total)

ival-and: 2.0ms (5.5% of total)

ival-<: 2.0ms (5.5% of total)

const: 1.0ms (2.8% of total)

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

sample7.2s (53.2%)

Results

3.7s	25981×	0	precondition
1.5s	4466×	1	valid
453.0ms	3790×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

...c/correct-round.rkt:119:19: 851.0ms (22.6% of total)

ival-sin: 689.0ms (18.3% of total)

ival-mult: 391.0ms (10.4% of total)

ival-fabs: 356.0ms (9.4% of total)

ival-add: 325.0ms (8.6% of total)

ival-<: 295.0ms (7.8% of total)

ival-<=: 265.0ms (7% of total)

ival-sub: 240.0ms (6.4% of total)

ival-and: 182.0ms (4.8% of total)

backward-pass: 125.0ms (3.3% of total)

const: 48.0ms (1.3% of total)

Bogosity

preprocess44.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

376×	`fnmadd-define`
344×	`fnmsub-define`
344×	`fmsub-define`
320×	`sum3-define`
308×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	43	42
2	94	42
3	198	42
4	507	42
5	917	42
6	1285	42
7	1548	42
8	1684	42
9	1711	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
(- (sin (+ x eps)) (sin x))

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

Call 2

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

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

explain116.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
220	2	(-1.8679596455730118e-165 5.741547154853979e-168)	3	(-9.852733431089526e-252 1.2698469975690234e-253)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
3	0	-	1	(171.40719471619744 4.009552034734475e-14)	`(sin.f64 (+.f64 x eps))`
0	0	-	0	-	`x`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`eps`

Results

54.0ms	286×	1	valid
26.0ms	222×	0	valid
1.0ms	2×	3	valid
1.0ms	2×	2	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

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

ival-sin: 17.0ms (48.2% of total)

backward-pass: 8.0ms (22.7% of total)

ival-add: 5.0ms (14.2% of total)

ival-sub: 4.0ms (11.3% of total)

const: 1.0ms (2.8% 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
▶	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.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	(sin.f64 x)
✓	cost-diff	(+.f64 x eps)
✓	cost-diff	(sin.f64 (+.f64 x eps))
✓	cost-diff	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Rules

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

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

localize51.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	61.8%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

33.0ms	143×	1	valid
9.0ms	111×	0	valid
1.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 6.0ms (42.4% of total)

ival-add: 3.0ms (21.2% of total)

backward-pass: 3.0ms (21.2% of total)

ival-sub: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

series4.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite324.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2788×	`-lowering-.f32`
2788×	`-lowering-.f64`
2132×	`/-lowering-/.f32`
2132×	`/-lowering-/.f64`
2068×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	49	16
2	406	16
3	5276	16
0	8496	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify206.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3796×	`-lowering-.f32`
3796×	`-lowering-.f64`
2064×	`+-lowering-+.f64`
2064×	`+-lowering-+.f32`
1456×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	488
1	327	459
2	964	455
3	3564	455
0	8263	455

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (- eps (* -1 x))) (sin x))
(- (sin (- eps (* -1 x))) (sin x))
(- (sin (- eps (* -1 x))) (sin x))
(- (sin (- eps (* -1 x))) (sin x))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (+ eps x)) (sin x))
(- (sin (- x (* -1 eps))) (sin x))
(- (sin (- x (* -1 eps))) (sin x))
(- (sin (- x (* -1 eps))) (sin x))
(- (sin (- x (* -1 eps))) (sin x))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)

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

eval53.0ms (0.4%)

Compiler: Compiled 7060 to 731 computations (89.6% saved)

prune38.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	254	7	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	254	8	262

Accuracy

100.0%

Counts

262 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	100.0%	(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
	100.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
▶	99.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	99.5%	(*.f64 eps (cos.f64 x))
▶	98.6%	(sin.f64 eps)

Compiler

Compiled 221 to 154 computations (30.3% saved)

simplify189.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2238×	`fma-lowering-fma.f32`
2238×	`fma-lowering-fma.f64`
1896×	`fma-define`
1884×	`--lowering--.f32`
1884×	`--lowering--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	189
1	95	180
2	269	178
3	779	178
4	1773	178
5	3161	178
6	4361	178
7	5319	178
8	6715	178
0	8107	178

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize322.0ms (2.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(+.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	accuracy	100.0%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.6%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	62.5%	(-.f64 (sin.f64 (+.f64 x eps)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))

Results

146.0ms	141×	1	valid
93.0ms	113×	0	valid
18.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 214 to 33 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 51.0ms (46.2% of total)

backward-pass: 17.0ms (15.4% of total)

ival-add: 17.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (11.8% of total)

ival-sin: 7.0ms (6.3% of total)

ival-cos: 4.0ms (3.6% of total)

ival-sub: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

series31.0ms (0.2%)

Counts

18 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(* eps (+ (* (+ (* (* eps eps) -1/6) 1) (cos x)) (* (* eps (sin x)) (+ (* eps (* eps 1/24)) -1/2))))
2.0ms	x	@	0	(* eps (+ (cos x) (* eps (* -1/2 (sin x)))))
2.0ms	x	@	inf	(* eps (+ (* (+ (* (* eps eps) -1/6) 1) (cos x)) (* (* eps (sin x)) (+ (* eps (* eps 1/24)) -1/2))))
1.0ms	eps	@	inf	(* eps (+ (* (+ (* (* eps eps) -1/6) 1) (cos x)) (* (* eps (sin x)) (+ (* eps (* eps 1/24)) -1/2))))
1.0ms	x	@	inf	(* eps (+ (cos x) (* eps (* -1/2 (sin x)))))

rewrite393.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5288×	`-lowering-.f32`
5288×	`-lowering-.f64`
3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2756×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	130
1	185	124
2	1694	122
0	9653	122

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 332

Calls

Call 1

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

Outputs
(+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 eps (cos.f64 x))))
(fma.f64 eps (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 x) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) eps) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) eps (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 eps (sin.f64 x)) eps) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (cos.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (cos.f64 x) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(fma.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 eps (sin.f64 x)) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 eps (cos.f64 x))) (.f64 eps (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))
(/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) eps) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) eps) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) eps)
(+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(+.f64 (.f64 (sin.f64 x) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 eps (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/24 binary64) (.f64 eps (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (.f64 eps (sin.f64 x)) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal 1/24 binary64)) (.f64 eps (.f64 eps (sin.f64 x))) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
(fma.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 eps (sin.f64 x)) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) eps (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)) eps (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (.f64 eps (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(.f64 (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(+.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))
(+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(/.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) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #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) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 4 binary64))) #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) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #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) x)))) (.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))
(.f64 (.f64 eps (sin.f64 x)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps)
(.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(.f64 eps (.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 (.f64 eps #s(literal -1/6 binary64)) eps)
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/24 binary64)) eps)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) x)) x)

simplify297.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5148×	`-lowering-.f32`
5148×	`-lowering-.f64`
1638×	`+-lowering-+.f64`
1638×	`+-lowering-+.f32`
1464×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	3174
1	1188	2787
2	4446	2768
0	8826	2768

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 eps (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (+.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 (cos.f64 x) eps) eps) eps) (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 x) eps)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (+.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) eps)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) eps)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) (.f64 x (.f64 eps eps))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
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(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps x))
(.f64 x (.f64 eps #s(literal -1/2 binary64)))
(* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/240 binary64))) (.f64 eps #s(literal 1/12 binary64)))))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 eps (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* 1/24 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/24 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))

eval89.0ms (0.7%)

Compiler: Compiled 23124 to 1674 computations (92.8% saved)

prune67.0ms (0.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	685	9	694
Fresh	0	2	2
Picked	2	3	5
Done	0	1	1
Total	687	15	702

Accuracy

100.0%

Counts

702 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))) x))
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	98.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
✓	100.0%	(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 eps (.f64 eps #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
▶	100.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
	98.8%	(.f64 eps (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))))))))
✓	99.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))))))))
	98.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	99.5%	(*.f64 eps (cos.f64 x))
▶	98.6%	eps

Compiler

Compiled 503 to 324 computations (35.6% saved)

simplify196.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))))
✓	cost-diff	128	(+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64))))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))))))))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓	cost-diff	0	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	cost-diff	0	(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))

Rules

3664×	`sum3-define`
3042×	`sum5-define`
2640×	`+-lowering-+.f64`
2640×	`+-lowering-+.f32`
2272×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	341
1	151	317
2	530	317
3	1758	317
4	4088	317
5	4434	317
6	4563	317
7	4639	317
8	4639	317
0	8101	317

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize255.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/24 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 x #s(literal 1/12 binary64)))))))))
✓	accuracy	99.8%	(.f64 eps (.f64 x #s(literal 1/12 binary64)))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 x #s(literal 1/12 binary64)))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	accuracy	99.8%	(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓	accuracy	100.0%	(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	accuracy	100.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))

Results

178.0ms	254×	0	valid
3.0ms	1×	2	valid
3.0ms	1×	3	valid

Compiler

Compiled 386 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 36.0ms (53.5% of total)

ival-add: 14.0ms (20.8% of total)

...c/correct-round.rkt:119:19: 11.0ms (16.3% of total)

ival-sin: 3.0ms (4.5% of total)

ival-cos: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

series38.0ms (0.3%)

Counts

23 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* eps (+ 1 (* x (+ (* eps -1/2) (* x (+ -1/2 (* eps (* x 1/12))))))))
3.0ms	eps	@	inf	(* eps (+ 1 (* x (* -1/2 (+ eps x)))))
2.0ms	eps	@	inf	(* eps (+ (+ 1 (* -1/6 (* eps eps))) (* x (+ (* x (+ -1/2 (* (* eps eps) 1/12))) (* eps (+ -1/2 (* eps (* eps 1/24))))))))
1.0ms	eps	@	0	(* eps (+ 1 (* x (+ (* eps -1/2) (* x (+ -1/2 (* eps (* x 1/12))))))))
1.0ms	eps	@	inf	(* eps (+ 1 (* x (+ (* eps -1/2) (* x (+ -1/2 (* eps (* x 1/12))))))))

rewrite374.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4528×	`-lowering-.f32`
4528×	`-lowering-.f64`
1792×	`/-lowering-/.f32`
1792×	`/-lowering-/.f64`
1714×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	244
1	293	226
2	3083	226
0	8338	226

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 518

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (*.f64 (cos.f64 x) eps)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 eps (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)))
(fma.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps))))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64))) eps) (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) eps) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(.f64 (+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) eps)
(+.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))
(+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))))))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))
(fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))))))
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(pow.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (-.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps #s(literal -1/6 binary64))) (+.f64 (.f64 eps (.f64 eps #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/216 binary64))))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)))) #s(literal -1 binary64))
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(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
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(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))
(.f64 (.f64 eps (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps #s(literal -1/6 binary64)) eps)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/6 binary64))) eps)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(.f64 x (.f64 eps #s(literal 1/12 binary64)))
(.f64 #s(literal 1/12 binary64) (.f64 eps x))
(.f64 (.f64 x #s(literal 1/12 binary64)) eps)
(.f64 (.f64 eps x) #s(literal 1/12 binary64))
(.f64 (.f64 eps #s(literal 1/12 binary64)) x)
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
(.f64 eps (.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64))))
(.f64 (.f64 eps (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps #s(literal -1/6 binary64)) eps)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/6 binary64))) eps)
(.f64 eps (.f64 eps #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/12 binary64)) eps)
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)))
(+.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) x)))
(fma.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) x (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))))) (.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)) (.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x))))) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))))) (-.f64 (.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))))) (.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x)))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 eps (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))) x))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) x) (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))) (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64)))))))))
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(.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))))
(.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64)))))) x)

simplify315.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

5806×	`-lowering-.f32`
5806×	`-lowering-.f64`
3070×	`+-lowering-+.f64`
3070×	`+-lowering-+.f32`
1598×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	5594
1	1972	4892
2	7785	4888
0	8410	4888

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (/.f64 (cos.f64 x) eps) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (/.f64 (cos.f64 x) eps) eps))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(.f64 (+.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 eps (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 eps eps))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (/.f64 (cos.f64 x) eps) eps)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (/.f64 (cos.f64 x) eps) eps)))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(.f64 (.f64 eps eps) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (cos.f64 x) eps)) eps)))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps x))
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))
(.f64 eps (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/240 binary64))) (.f64 eps #s(literal 1/12 binary64))))))
(* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))
(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/240 binary64)) (.f64 eps (.f64 (*.f64 x x) #s(literal 1/10080 binary64))))))))))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 (* eps (sin x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (sin.f64 x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/12 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal -1/240 binary64)))))))
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/240 binary64) (.f64 (*.f64 x x) #s(literal 1/10080 binary64)))))))))
(* -1/2 (sin x))
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(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
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(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2))
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(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2))
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1
#s(literal 1 binary64)
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(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
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(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
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(.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
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(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 (* eps x))
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(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
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(.f64 eps (.f64 x #s(literal 1/12 binary64)))
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(.f64 eps (.f64 x #s(literal 1/12 binary64)))
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(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
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(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (* eps x))
(.f64 eps (.f64 x #s(literal 1/12 binary64)))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* 1/24 eps)
(*.f64 eps #s(literal 1/24 binary64))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* -1/6 (pow eps 2))
(.f64 #s(literal -1/6 binary64) (.f64 eps eps))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
(.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))
(* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))
(* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))
(* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))
(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))
(.f64 x (.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) (/.f64 eps x)))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))
(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* 1/12 (* eps (pow x 2))))))
(.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))))))
(+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (+ (* 1/24 (* eps x)) (* 1/12 (pow x 2)))))))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (+.f64 eps x))) (.f64 eps (.f64 eps (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 eps (.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (* (pow eps 3) x))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
(* (pow eps 3) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) eps)))
(* (pow eps 3) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) eps)) (/.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) eps)))
(* (pow eps 3) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* 1/24 x) (* 1/12 (/ (pow x 2) eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x (.f64 eps eps)) (.f64 x (/.f64 x (.f64 eps (*.f64 eps eps))))))))
(* 1/24 (* (pow eps 3) x))
(.f64 x (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
(* -1 (* (pow eps 3) (+ (* -1/12 (/ (pow x 2) eps)) (* -1/24 x))))
(.f64 (.f64 eps (.f64 eps eps)) (neg.f64 (+.f64 (.f64 x #s(literal -1/24 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) eps)) (* -1/24 x))))
(.f64 (-.f64 (.f64 x #s(literal -1/24 binary64)) (/.f64 (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 (.f64 x #s(literal -1/2 binary64)) eps)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ (pow x 2) eps))) eps)) (* 1/12 (pow x 2))) eps)) (* -1/24 x))))
(.f64 (-.f64 (.f64 x #s(literal -1/24 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps)) eps)) (neg.f64 (.f64 eps (.f64 eps eps))))

eval144.0ms (1.1%)

Compiler: Compiled 57581 to 3036 computations (94.7% saved)

prune97.0ms (0.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	979	7	986
Fresh	3	3	6
Picked	2	3	5
Done	1	3	4
Total	985	16	1001

Accuracy

100.0%

Counts

1001 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
	98.8%	(+.f64 eps (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) eps))
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	5.1%	(.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
	98.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	100.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	99.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
▶	98.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
	98.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
▶	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
▶	5.8%	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓	99.5%	(*.f64 eps (cos.f64 x))
✓	98.6%	eps

Compiler

Compiled 429 to 291 computations (32.2% saved)

simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 eps (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))

Rules

2584×	`-lowering-.f32`
2584×	`-lowering-.f64`
2388×	`+-lowering-+.f64`
2388×	`+-lowering-+.f32`
2120×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	262
1	127	242
2	404	241
3	1299	241
4	3014	238
5	6281	238
0	8410	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize215.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/720 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/12 binary64))
✓	accuracy	83.2%	(.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 eps (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) eps)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal -1/6 binary64))

Results

158.0ms

256×

valid

Compiler

Compiled 307 to 42 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 35.0ms (52.3% of total)

...c/correct-round.rkt:119:19: 14.0ms (20.9% of total)

ival-add: 11.0ms (16.4% of total)

ival-div: 2.0ms (3% of total)

ival-cos: 2.0ms (3% of total)

ival-sin: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

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

series29.0ms (0.2%)

Counts

25 → 432

Calls

Call 1

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

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

Calls

108 calls:

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

rewrite341.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3900×	`-lowering-.f32`
3900×	`-lowering-.f64`
2594×	`/-lowering-/.f32`
2594×	`/-lowering-/.f64`
2220×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	198
1	232	181
2	2203	180
0	8950	180

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 577

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(+.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) (/.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))) (/.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))))
(fma.f64 eps (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 eps (cos.f64 x)) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 (cos.f64 x) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64))))) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) (.f64 eps eps)) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) eps (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) eps) (cos.f64 x) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))) (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64))) (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))) (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) (.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)))) (.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (-.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))))) (+.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 eps (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (-.f64 (pow.f64 (.f64 eps (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 eps (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/373248000 binary64))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))))) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) x) (.f64 (.f64 x #s(literal 1/24 binary64)) x)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))) x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))) x)) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/720 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) x)

simplify297.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5246×	`-lowering-.f32`
5246×	`-lowering-.f64`
3710×	`+-lowering-+.f64`
3710×	`+-lowering-+.f32`
1328×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3964
1	946	3426
2	3678	3348
0	8280	3348

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(+.f64 (.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (cos.f64 x) #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 eps eps))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1/6 (* (pow eps 3) (cos x)))
(.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (cos x) (pow eps 2))) (* 1/6 (cos x)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(+ (* -1/2 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/24 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x x)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow x 2) (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))) (* 1/24 (* eps (+ 1 (* -1/6 (pow eps 2))))))))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* eps (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(.f64 (.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps)))
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(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/6 eps)
(*.f64 eps #s(literal -1/6 binary64))
(* -1/2 (* (pow eps 2) x))
(.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))
(.f64 (.f64 eps (.f64 eps x)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))
(.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps (.f64 x x))) (+.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/240 binary64) (*.f64 x x))))))
(* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))
(.f64 x (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal -1/240 binary64))) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+.f64 eps (.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* eps (cos x))
(*.f64 eps (cos.f64 x))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/12 eps)
(*.f64 eps #s(literal 1/12 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))
(* -1/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(* -1/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (neg.f64 (.f64 x (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (neg.f64 (.f64 x (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (neg.f64 (.f64 x (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* -1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/720 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))

eval139.0ms (1%)

Compiler: Compiled 28163 to 2381 computations (91.5% saved)

prune119.0ms (0.9%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1062	3	1065
Fresh	1	4	5
Picked	1	4	5
Done	0	6	6
Total	1064	17	1081

Accuracy

100.0%

Counts

1081 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	100.0%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps #s(literal -1/6 binary64)))) (.f64 (cos.f64 x) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
	98.8%	(+.f64 eps (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/12 binary64))))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))))) eps))
	98.8%	(+.f64 eps (.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	5.1%	(.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
	98.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 eps eps))) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	100.0%	(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))) (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.f64 x))))
✓	99.9%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))) (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	98.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 eps x)))))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓	98.7%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓	5.8%	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓	99.5%	(*.f64 eps (cos.f64 x))
✓	98.6%	eps

Compiler

Compiled 699 to 334 computations (52.2% saved)

regimes27.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	x
7.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
6.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -59.9b remaining (-6786.2%)

Threshold costs -59.9b (-6786.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
30×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	131
1	104	131

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (8%)

Rules

5246×	`-lowering-.f32`
5246×	`-lowering-.f64`
5148×	`-lowering-.f32`
5148×	`-lowering-.f64`
3796×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3964
1	946	3426
2	3678	3348
0	8280	3348
0	347	3174
1	1188	2787
2	4446	2768
0	8826	2768
0	107	488
1	327	459
2	964	455
3	3564	455
0	8263	455

Stop Event

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

Compiler

Compiled 321 to 182 computations (43.3% saved)

preprocess62.0ms (0.5%)

Compiler: Compiled 314 to 138 computations (56.1% 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	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

analyze67.0ms (0.5%)

sample7.2s (53.2%)

preprocess44.0ms (0.3%)

explain116.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize51.0ms (0.4%)

series4.0ms (0%)

rewrite324.0ms (2.4%)

simplify206.0ms (1.5%)

eval53.0ms (0.4%)

prune38.0ms (0.3%)

simplify189.0ms (1.4%)

localize322.0ms (2.4%)

series31.0ms (0.2%)

rewrite393.0ms (2.9%)

simplify297.0ms (2.2%)

eval89.0ms (0.7%)

prune67.0ms (0.5%)

simplify196.0ms (1.5%)

localize255.0ms (1.9%)

series38.0ms (0.3%)

rewrite374.0ms (2.8%)

simplify315.0ms (2.3%)

eval144.0ms (1.1%)

prune97.0ms (0.7%)

simplify142.0ms (1.1%)

localize215.0ms (1.6%)

series29.0ms (0.2%)

rewrite341.0ms (2.5%)

simplify297.0ms (2.2%)

eval139.0ms (1%)

prune119.0ms (0.9%)

regimes27.0ms (0.2%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify9.0ms (0.1%)

soundness1.1s (8%)

preprocess62.0ms (0.5%)

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