Metrics for 2sin (example 3.3)

analyze64.0ms (0.4%)

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: 43.0ms

ival-sin: 14.0ms (32.7% of total)

ival-<: 8.0ms (18.7% of total)

...c/correct-round.rkt:119:19: 7.0ms (16.4% of total)

ival-mult: 3.0ms (7% of total)

ival-fabs: 3.0ms (7% of total)

ival-<=: 3.0ms (7% of total)

ival-add: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

ival-and: 1.0ms (2.3% of total)

const: 0.0ms (0% of total)

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

sample7.3s (48.1%)

Results

3.9s	26295×	0	precondition
1.3s	4492×	1	valid
478.0ms	3764×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

...c/correct-round.rkt:119:19: 1.1s (25.9% of total)

ival-sin: 824.0ms (19.4% of total)

ival-<: 411.0ms (9.7% of total)

ival-<=: 399.0ms (9.4% of total)

ival-mult: 368.0ms (8.6% of total)

ival-add: 325.0ms (7.6% of total)

ival-fabs: 299.0ms (7% of total)

ival-sub: 236.0ms (5.5% of total)

ival-and: 137.0ms (3.2% of total)

backward-pass: 107.0ms (2.5% of total)

const: 49.0ms (1.2% of total)

Bogosity

preprocess47.0ms (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))

explain96.0ms (0.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
229	1	(1.2774291091592473e-295 3.9066966576067224e-298)	4	(-1.875268285481744e-203 2.626997132373145e-205)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
3	0	-	2	(28.468240814348267 1.879712667546136e-5)	`(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

45.0ms	290×	1	valid
18.0ms	222×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 14.0ms (48.1% of total)

ival-add: 6.0ms (20.6% of total)

backward-pass: 5.0ms (17.2% of total)

ival-sub: 4.0ms (13.8% of total)

const: 1.0ms (3.4% 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
▶	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (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)

localize41.0ms (0.3%)

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	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

24.0ms	145×	1	valid
8.0ms	111×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-sin: 11.0ms (62.4% of total)

ival-add: 3.0ms (17% of total)

ival-sub: 2.0ms (11.4% of total)

backward-pass: 2.0ms (11.4% 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	x	@	0	(- (sin (+ x eps)) (sin x))
0.0ms	eps	@	0	(- (sin (+ x eps)) (sin x))
0.0ms	x	@	inf	(+ x eps)
0.0ms	x	@	-inf	(- (sin (+ x eps)) (sin x))

rewrite395.0ms (2.6%)

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)

simplify247.0ms (1.6%)

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)

eval30.0ms (0.2%)

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

prune47.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	253	8	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	253	9	262

Accuracy

100.0%

Counts

262 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(/.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)))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))))
	59.5%	(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) #s(literal 2 binary64))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(.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))
▶	99.7%	(.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))))
▶	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	98.4%	(*.f64 eps (cos.f64 x))
▶	96.5%	(sin.f64 eps)

Compiler

Compiled 301 to 196 computations (34.9% saved)

simplify178.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))))
✓	cost-diff	384	(-.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))))))
✓	cost-diff	512	(/.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)))))) #s(literal 2 binary64))
✓	cost-diff	640	(/.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)))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))))
✓	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))))
✓	cost-diff	0	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x))))
✓	cost-diff	0	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	128	(/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))
✓	cost-diff	128	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

Rules

2136×	`+-lowering-+.f64`
2136×	`+-lowering-+.f32`
1772×	`sum3-define`
1362×	`-lowering-.f32`
1362×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	346
1	99	326
2	302	314
3	1331	312
4	3121	310
5	7175	310
0	8496	310

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize533.0ms (3.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	82.4%	(-.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))))))
✓	accuracy	57.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
✓	accuracy	57.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64)))))
✓	accuracy	52.2%	(/.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)))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (cos.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	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	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 (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%	(sin.f64 eps)
✓	accuracy	100.0%	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(.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))))
✓	accuracy	99.9%	(cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))

Results

255.0ms	176×	1	valid
164.0ms	70×	2	valid
13.0ms	3×	3	valid
4.0ms	7×	0	valid

Compiler

Compiled 381 to 45 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-cos: 110.0ms (34.7% of total)

ival-mult: 90.0ms (28.4% of total)

ival-add: 39.0ms (12.3% of total)

backward-pass: 31.0ms (9.8% of total)

ival-sin: 17.0ms (5.4% of total)

ival-div: 16.0ms (5.1% of total)

...c/correct-round.rkt:119:19: 10.0ms (3.2% of total)

ival-sub: 3.0ms (0.9% of total)

const: 2.0ms (0.6% of total)

series56.0ms (0.4%)

Counts

21 → 420

Calls

Call 1

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

Outputs
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))>
#<alt (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))>
#<alt (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt 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) (* -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>
#<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 (* -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 (* 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)))))>
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#<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 (+ 1/2 (* -1/2 (cos (* 2 eps))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (sin (* 2 eps)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (cos (* 2 eps)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (+ (cos (* 2 eps)) (* -2/3 (* x (sin (* 2 eps))))))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (sin (* 2 x)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (cos (* 2 x)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (+ (cos (* 2 x)) (* -2/3 (* eps (sin (* 2 x))))))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 x))))>

Calls

105 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(* (* eps eps) -1/6)
5.0ms	eps	@	inf	(* eps (+ (* eps (* -1/2 (sin x))) (* (+ (* (* eps eps) -1/6) 1) (cos x))))
2.0ms	eps	@	inf	(/ (/ (- (+ 1/2 (* -1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* -1/2 (cos (* x 2))))) 2) (* (sin (/ (+ eps (* x 2)) 2)) (cos (/ (+ eps 0) 2))))
2.0ms	eps	@	0	(/ (/ (- (+ 1/2 (* -1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* -1/2 (cos (* x 2))))) 2) (* (sin (/ (+ eps (* x 2)) 2)) (cos (/ (+ eps 0) 2))))
2.0ms	x	@	inf	(/ (/ (- (+ 1/2 (* -1/2 (cos (* (+ x eps) 2)))) (+ 1/2 (* -1/2 (cos (* x 2))))) 2) (* (sin (/ (+ eps (* x 2)) 2)) (cos (/ (+ eps 0) 2))))

rewrite305.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3104×	`fma-lowering-fma.f32`
3104×	`fma-lowering-fma.f64`
2498×	`-lowering-.f32`
2498×	`-lowering-.f64`
1952×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	225
1	242	210
2	2670	207
0	8183	207

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 395

Calls

Call 1

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

Outputs
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 eps #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))))
(/.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))) #s(literal -1 binary64))
(.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 eps #s(literal 2 binary64))))
(.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 1/2 binary64))
(sin.f64 (/.f64 eps #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 eps #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) eps)) #s(literal -1 binary64)))
(neg.f64 (/.f64 eps #s(literal -2 binary64)))
(/.f64 eps #s(literal 2 binary64))
(/.f64 (.f64 eps eps) (.f64 #s(literal 2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64))
(/.f64 (.f64 eps (.f64 eps eps)) (.f64 #s(literal 2 binary64) (.f64 eps eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(/.f64 (.f64 (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(pow.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps (.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (cos.f64 eps)) (.f64 #s(literal 1 binary64) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) (.f64 (cos.f64 eps) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 #s(literal 0 binary64) eps))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 #s(literal 0 binary64) eps))))
(sin.f64 eps)
(fma.f64 #s(literal 0 binary64) (cos.f64 eps) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(+.f64 (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))) (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) #s(literal 0 binary64)))
(+.f64 (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))) (.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))))
(+.f64 (.f64 eps (cos.f64 x)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps)) (.f64 eps (cos.f64 x)))
(+.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) #s(literal 0 binary64)) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))))
(+.f64 (.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 0 binary64)))
(fma.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(fma.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) eps (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) #s(literal 0 binary64)))
(fma.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) eps (.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(fma.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) #s(literal 0 binary64) (.f64 eps (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps) (*.f64 eps (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 eps eps) (+.f64 (+.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 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (cos.f64 x))))))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (-.f64 (+.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 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))))) (.f64 (.f64 eps eps) (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(/.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.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 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (cos.f64 x))))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 (+.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 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64)))))) (.f64 eps (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 eps (.f64 eps 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 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (cos.f64 x)))) (.f64 eps eps)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 eps 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 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps)) (cos.f64 x)))) eps))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (*.f64 eps eps)))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))))) (.f64 eps eps)) (.f64 (-.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps))) eps))
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(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))

simplify344.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

5082×	`-lowering-.f32`
5082×	`-lowering-.f64`
3138×	`+-lowering-+.f64`
3138×	`+-lowering-+.f32`
2122×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	600	6039
1	2119	5292
2	7452	5285
0	8159	5285

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
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) (* -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
(+ 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)
(* -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)))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* -1/6 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (* eps (* x (+ 1 (* -1/6 (pow eps 2)))))) (* -1/2 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 (* eps (+ 1 (* -1/6 (pow eps 2))))) (* 1/12 (* (pow eps 2) x)))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(* eps (+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2))))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))
(* -1/6 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* -1/2 (* x (+ 1 (* -1/6 (pow eps 2)))))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/12 (* eps x))))))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* eps (sin x))) (* (cos x) (+ 1 (* -1/6 (pow eps 2)))))
(* -1/2 x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* -1/2 (sin x))
(* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 1/2 (* x (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2))))))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
(+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* x (+ (* 1/2 (* x (- (/ (cos (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (+ (/ 1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (/ (* (cos (* 1/2 eps)) (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))) (sin (* 1/2 eps)))))))) (* 1/2 (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))))))
(+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* x (+ (* 1/2 (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))) (* x (+ (* 1/2 (* x (- (* -2/3 (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (+ (* -1/2 (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))) (+ (* -1/6 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (pow (sin (* 1/2 eps)) 2))) (/ (* (cos (* 1/2 eps)) (- (/ (cos (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (+ (/ 1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (/ (* (cos (* 1/2 eps)) (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))) (sin (* 1/2 eps))))))) (sin (* 1/2 eps)))))))) (* 1/2 (- (/ (cos (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 eps)))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (+ (/ 1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (/ (* (cos (* 1/2 eps)) (- (/ (sin (* 2 eps)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (+ (* -1/2 (/ (cos (* 2 eps)) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (/ 1 (pow (sin (* 1/2 eps)) 2)))))) (sin (* 1/2 eps))))))))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))
(* 1/2 (/ (* eps (sin (* 2 x))) (sin x)))
(* eps (+ (* 1/2 (* eps (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))) (* 1/2 (/ (sin (* 2 x)) (sin x)))))
(* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (+ (* 1/2 (* eps (- (* -2/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/4 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))) (* 1/2 (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2)))))))))
(* eps (+ (* 1/2 (/ (sin (* 2 x)) (sin x))) (* eps (+ (* 1/2 (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (* eps (+ (* 1/2 (* eps (- (* -1/3 (/ (cos (* 2 x)) (sin x))) (+ (* -1/4 (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (+ (* 1/2 (/ (* (cos x) (- (* -2/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/4 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x)))))) (sin x))) (/ (* (sin (* 2 x)) (+ (* -1/16 (cos x)) (* -1/48 (cos x)))) (pow (sin x) 2))))))) (* 1/2 (- (* -2/3 (/ (sin (* 2 x)) (sin x))) (+ (* -1/4 (/ (sin (* 2 x)) (sin x))) (* 1/2 (/ (* (cos x) (- (/ (cos (* 2 x)) (sin x)) (* 1/2 (/ (* (cos x) (sin (* 2 x))) (pow (sin x) 2))))) (sin x))))))))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
(* 1/2 (/ (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))) (* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))
(* 1/2 (+ 1/2 (* -1/2 (cos (* 2 eps)))))
(+ (* 1/2 (* x (sin (* 2 eps)))) (* 1/2 (+ 1/2 (* -1/2 (cos (* 2 eps))))))
(+ (* 1/2 (+ 1/2 (* -1/2 (cos (* 2 eps))))) (* x (+ (* 1/2 (sin (* 2 eps))) (* 1/2 (* x (- (cos (* 2 eps)) 1))))))
(+ (* 1/2 (+ 1/2 (* -1/2 (cos (* 2 eps))))) (* x (+ (* 1/2 (sin (* 2 eps))) (* x (+ (* -1/3 (* x (sin (* 2 eps)))) (* 1/2 (- (cos (* 2 eps)) 1)))))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (* eps (sin (* 2 x))))
(* eps (+ (* 1/2 (sin (* 2 x))) (* 1/2 (* eps (cos (* 2 x))))))
(* eps (+ (* 1/2 (sin (* 2 x))) (* eps (+ (* -1/3 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x)))))))
(* eps (+ (* 1/2 (sin (* 2 x))) (* eps (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1/3 (sin (* 2 x))) (* -1/6 (* eps (cos (* 2 x))))))))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))))
(* 1/2 (- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x)))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (sin (* 2 eps)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (- (cos (* 2 eps)) 1))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (- (+ (cos (* 2 eps)) (* -2/3 (* x (sin (* 2 eps))))) 1))))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- eps (* -1 x))))) (* -1/2 (cos (* 2 x))))
(* eps (sin (* 2 x)))
(* eps (+ (sin (* 2 x)) (* eps (cos (* 2 x)))))
(* eps (+ (sin (* 2 x)) (* eps (+ (cos (* 2 x)) (* -2/3 (* eps (sin (* 2 x))))))))
(* eps (+ (sin (* 2 x)) (* eps (+ (cos (* 2 x)) (* eps (+ (* -2/3 (sin (* 2 x))) (* -1/3 (* eps (cos (* 2 x))))))))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (+ eps x)))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x))))
(- (* -1/2 (cos (* 2 (- x (* -1 eps))))) (* -1/2 (cos (* 2 x))))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 eps)))
(+ (* x (pow (cos (* 1/2 eps)) 2)) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (cos (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* x (+ (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* -1/6 (* x (pow (cos (* 1/2 eps)) 2))))) (pow (cos (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (cos (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(cos x)
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(cos (* 1/2 (- eps (* -2 x))))
(* -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))
(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))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (sin (* 2 eps)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (cos (* 2 eps)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (+ (cos (* 2 eps)) (* -2/3 (* x (sin (* 2 eps))))))))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (sin (* 2 x)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (cos (* 2 x)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (+ (cos (* 2 x)) (* -2/3 (* eps (sin (* 2 x))))))))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+ 1/2 (* -1/2 (cos (* 2 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 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 eps (.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 #s(literal -2 binary64) (.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 x (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
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(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 eps))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(-.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(+.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal 1/6 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (+ eps (* 2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(cos (* 1/2 (- eps (* -2 x))))
(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(+ (cos x) (* -1/6 (* (pow eps 2) (cos x))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* -1/6 (* (pow eps 2) (cos x)))
(.f64 eps (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.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) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps))))
(* (pow eps 2) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (/.f64 (cos.f64 x) (.f64 eps eps))))
(+ 1 (* -1/6 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2))))) (* -1/6 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/6 (pow eps 2)))) (* 1/24 (* (pow x 2) (+ 1 (* -1/6 (pow eps 2)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(+ 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))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* (cos x) (+ 1 (* -1/6 (pow eps 2))))
(.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(+ 1/2 (* -1/2 (cos (* 2 eps))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (sin (* 2 eps)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (.f64 x (sin.f64 (.f64 eps #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (cos (* 2 eps)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (.f64 x (+.f64 (sin.f64 (.f64 eps #s(literal 2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 2 binary64)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 eps))) (* x (+ (sin (* 2 eps)) (* x (+ (cos (* 2 eps)) (* -2/3 (* x (sin (* 2 eps))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (.f64 x (+.f64 (sin.f64 (.f64 eps #s(literal 2 binary64))) (.f64 x (+.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 eps #s(literal 2 binary64))) (*.f64 x #s(literal -2/3 binary64))))))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- eps (* -1 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (sin (* 2 x)))))
(+.f64 (.f64 eps (sin.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (cos (* 2 x)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (.f64 eps (cos.f64 (.f64 x #s(literal 2 binary64))))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 x))) (* eps (+ (sin (* 2 x)) (* eps (+ (cos (* 2 x)) (* -2/3 (* eps (sin (* 2 x))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))) (.f64 eps (+.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (.f64 eps (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sin.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -2/3 binary64) eps))))))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (+ eps x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(+ 1/2 (* -1/2 (cos (* 2 (- x (* -1 eps))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64))))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 x x) #s(literal -1/315 binary64)))))))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))
(+ 1/2 (* -1/2 (cos (* 2 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 x #s(literal 2 binary64)))))

eval182.0ms (1.2%)

Compiler: Compiled 27359 to 2149 computations (92.1% saved)

prune102.0ms (0.7%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	906	19	925
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	910	24	934

Accuracy

100.0%

Counts

934 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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)))))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
	59.5%	(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
	51.1%	(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)) eps)
▶	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	96.6%	(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
	96.6%	(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.6%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	51.0%	(.f64 (.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
✓	99.7%	(.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))))
	98.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
▶	96.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
	96.5%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
	96.8%	(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
	96.6%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
▶	98.4%	(*.f64 eps (cos.f64 x))
▶	96.5%	eps

Compiler

Compiled 825 to 544 computations (34.1% saved)

simplify212.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(*.f64 eps (cos.f64 x))
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	cost-diff	128	(+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64)))))
✓	cost-diff	128	(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

Rules

3888×	`+-lowering-+.f64`
3888×	`+-lowering-+.f32`
3030×	`distribute-lft-in`
2790×	`-lowering-.f32`
2790×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	277
1	109	252
2	321	247
3	1040	246
4	2845	246
5	4891	246
6	5591	246
7	6094	246
8	6181	246
9	6271	246
0	8081	246

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2))) 2)
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))))
eps
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
1/2
(* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))
(* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))
-1/48
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(* eps eps)
(+ 1/3840 (* eps (* eps -1/645120)))
1/3840
(* eps (* eps -1/645120))
(* eps -1/645120)
-1/645120
(cos (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
eps
(* eps (+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2)))))
eps
(+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2))))
1
(+ (* (* eps eps) -1/6) (* eps (* x -1/2)))
(* (* eps eps) -1/6)
(* eps eps)
-1/6
(* eps (* x -1/2))
(* x -1/2)
x
-1/2
(* eps (cos x))
eps
(cos x)
x
(/ 1 (/ 1 (- (sin (+ x eps)) (sin x))))
1
(/ 1 (- (sin (+ x eps)) (sin x)))
(- (sin (+ x eps)) (sin x))
(sin (+ x eps))
(+ x eps)
x
eps
(sin x)

Outputs
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2))) 2)
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 eps #s(literal 2 binary64))))
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2)))
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
eps
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))
1/2
#s(literal 1/2 binary64)
(* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))
(* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))
(+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))
(+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))
-1/48
#s(literal -1/48 binary64)
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))
(* eps eps)
(*.f64 eps eps)
(+ 1/3840 (* eps (* eps -1/645120)))
(+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))
1/3840
#s(literal 1/3840 binary64)
(* eps (* eps -1/645120))
(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
(* eps -1/645120)
(*.f64 eps #s(literal -1/645120 binary64))
-1/645120
#s(literal -1/645120 binary64)
(cos (/ (+ eps (* x 2)) 2))
(cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
eps
(* eps (+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/6 binary64))))))
eps
(+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2))))
(+.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(+ (* (* eps eps) -1/6) (* eps (* x -1/2)))
(.f64 eps (+.f64 (.f64 x #s(literal -1/2 binary64)) (*.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)
(* 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 (cos x))
(*.f64 eps (cos.f64 x))
eps
(cos x)
(cos.f64 x)
x
(/ 1 (/ 1 (- (sin (+ x eps)) (sin x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
1
#s(literal 1 binary64)
(/ 1 (- (sin (+ x eps)) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(- (sin (+ x eps)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin (+ x eps))
(sin.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(sin x)
(sin.f64 x)

localize282.0ms (1.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓	accuracy	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 eps (cos.f64 x))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
✓	accuracy	99.8%	(+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
✓	accuracy	99.5%	(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))))

Results

140.0ms	107×	1	valid
60.0ms	149×	0	valid

Compiler

Compiled 317 to 41 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 62.0ms (50.2% of total)

...c/correct-round.rkt:119:19: 20.0ms (16.2% of total)

ival-add: 12.0ms (9.7% of total)

backward-pass: 8.0ms (6.5% of total)

ival-div: 7.0ms (5.7% of total)

ival-cos: 7.0ms (5.7% of total)

ival-sin: 5.0ms (4% of total)

ival-sub: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

series24.0ms (0.2%)

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2))) 2)>
#<alt (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))))>
#<alt (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))>
#<alt (* eps (+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2)))))>
#<alt (+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2))))>
#<alt (+ (* (* eps eps) -1/6) (* eps (* x -1/2)))>
#<alt (* (* eps eps) -1/6)>
#<alt (* eps (cos x))>
#<alt (cos x)>
#<alt (/ 1 (/ 1 (- (sin (+ x eps)) (sin x))))>
#<alt (/ 1 (- (sin (+ x eps)) (sin x)))>
#<alt (- (sin (+ x eps)) (sin x))>
#<alt (sin (+ x eps))>
#<alt (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))>
#<alt (* eps (* eps -1/645120))>
#<alt (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))>
#<alt (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))>
#<alt (* eps eps)>

Outputs
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))>
#<alt (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/2 (* eps x))))>
#<alt (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))>
#<alt (* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))>
#<alt (* -1/6 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 1/6 (* 1/2 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))>
#<alt (* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))>
#<alt (* -1/2 (* (pow eps 2) x))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* eps x)))>
#<alt (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))>
#<alt (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (* -1/6 eps)))>
#<alt (* eps (+ (* -1/2 x) (* -1/6 eps)))>
#<alt (* eps (+ (* -1/2 x) (* -1/6 eps)))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))>
#<alt (* -1/6 (pow eps 2))>
#<alt (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))>
#<alt (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))>
#<alt (* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))>
#<alt (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))>
#<alt (* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 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 (* 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 (- (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 (/ 1 (sin eps))>
#<alt (+ (* x (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))>
#<alt (+ (* x (- (+ (* x (- (* 1/2 (/ 1 (sin eps))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (/ 1 (pow (sin eps) 2))) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))>
#<alt (+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (+ (* -1/6 (/ (cos eps) (pow (sin eps) 2))) (+ (* 1/6 (/ 1 (pow (sin eps) 2))) (/ (* (- (cos eps) 1) (- (* 1/2 (/ 1 (sin eps))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (sin eps))))))) (* 1/2 (/ 1 (sin eps)))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (/ 1 (pow (sin eps) 2))) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (- eps (* -1 x))) (sin x)))>
#<alt (/ 1 (- (sin (- eps (* -1 x))) (sin x)))>
#<alt (/ 1 (- (sin (- eps (* -1 x))) (sin x)))>
#<alt (/ 1 (- (sin (- eps (* -1 x))) (sin x)))>
#<alt (/ 1 (* eps (cos x)))>
#<alt (/ (+ (* 1/2 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x))) eps)>
#<alt (/ (+ (* eps (- (* eps (- (* 1/6 (/ 1 (cos x))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1/2 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))) eps)>
#<alt (/ (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- (* 1/6 (/ 1 (cos x))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/12 (/ (sin x) (pow (cos x) 2))) (* 1/24 (/ (sin x) (pow (cos x) 2))))))) (* 1/6 (/ 1 (cos x)))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1/2 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))) eps)>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (+ eps x)) (sin x)))>
#<alt (/ 1 (- (sin (- x (* -1 eps))) (sin x)))>
#<alt (/ 1 (- (sin (- x (* -1 eps))) (sin x)))>
#<alt (/ 1 (- (sin (- x (* -1 eps))) (sin x)))>
#<alt (/ 1 (- (sin (- x (* -1 eps))) (sin x)))>
#<alt (sin eps)>
#<alt (+ (sin eps) (* x (- (cos eps) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))>
#<alt (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))>
#<alt (- (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 (* -1/48 eps)>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* -1/645120 (pow eps 2))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>

Calls

87 calls:

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

rewrite365.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3322×	`-lowering-.f32`
3322×	`-lowering-.f64`
2802×	`fma-lowering-fma.f32`
2802×	`fma-lowering-fma.f64`
2294×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	201
1	245	182
2	2085	177
0	8279	177

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 401

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2))) 2)
(* (* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))) (cos (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))))
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))))
(* eps (+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2)))))
(+ 1 (+ (* (* eps eps) -1/6) (* eps (* x -1/2))))
(+ (* (* eps eps) -1/6) (* eps (* x -1/2)))
(* (* eps eps) -1/6)
(* eps (cos x))
(cos x)
(/ 1 (/ 1 (- (sin (+ x eps)) (sin x))))
(/ 1 (- (sin (+ x eps)) (sin x)))
(- (sin (+ x eps)) (sin x))
(sin (+ x eps))
(* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))))
(* eps (* eps -1/645120))
(* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120))))
(* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* eps (* eps -1/645120)))))))
(* eps eps)

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

simplify287.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

5054×	`-lowering-.f32`
5054×	`-lowering-.f64`
2266×	`+-lowering-+.f64`
2266×	`+-lowering-+.f32`
1512×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	4585
1	1614	3916
2	5896	3904
0	8051	3904

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))
(* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/48 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
(* -1/645120 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* -1/645120 (pow eps 7))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
eps
(* eps (+ 1 (* -1/2 (* eps x))))
(* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
(* eps (+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps)))))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))
(* -1/6 (pow eps 3))
(* -1 (* (pow eps 3) (+ 1/6 (* 1/2 (/ x eps)))))
(* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))
(* -1 (* (pow eps 3) (+ 1/6 (* -1 (/ (+ (* -1/2 x) (/ 1 eps)) eps)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(* -1/2 (* (pow eps 2) x))
(* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))
(* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))
(* x (+ (* -1/2 (pow eps 2)) (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)))
(* -1/2 (* (pow eps 2) x))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2)))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))
(+ 1 (* eps (+ (* -1/2 x) (* -1/6 eps))))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ x eps)) (/ 1 (pow eps 2))) 1/6))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) 1/6))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))
(* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))
(* x (+ (* -1/2 eps) (+ (* -1/6 (/ (pow eps 2) x)) (/ 1 x))))
(* -1/2 (* eps x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps))))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* -1/6 eps)))
(* eps (+ (* -1/2 x) (* -1/6 eps)))
(* eps (+ (* -1/2 x) (* -1/6 eps)))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* -1/6 (pow eps 2))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* (pow eps 2) (- (* -1/2 (/ x eps)) 1/6))
(* -1/6 (pow eps 2))
(+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))
(+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))
(+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2)))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))
(* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))
(* x (+ (* -1/2 eps) (* -1/6 (/ (pow eps 2) x))))
(* -1/2 (* eps x))
(* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))
(* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 eps))))
(* -1 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/2 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))
(* 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)))
(- (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))
(/ 1 (sin eps))
(+ (* x (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))
(+ (* x (- (+ (* x (- (* 1/2 (/ 1 (sin eps))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (/ 1 (pow (sin eps) 2))) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))
(+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (+ (* -1/6 (/ (cos eps) (pow (sin eps) 2))) (+ (* 1/6 (/ 1 (pow (sin eps) 2))) (/ (* (- (cos eps) 1) (- (* 1/2 (/ 1 (sin eps))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (sin eps))))))) (* 1/2 (/ 1 (sin eps)))) (/ (* (- (cos eps) 1) (- (/ 1 (pow (sin eps) 2)) (/ (cos eps) (pow (sin eps) 2)))) (sin eps)))) (/ 1 (pow (sin eps) 2))) (/ (cos eps) (pow (sin eps) 2)))) (/ 1 (sin eps)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (- eps (* -1 x))) (sin x)))
(/ 1 (- (sin (- eps (* -1 x))) (sin x)))
(/ 1 (- (sin (- eps (* -1 x))) (sin x)))
(/ 1 (- (sin (- eps (* -1 x))) (sin x)))
(/ 1 (* eps (cos x)))
(/ (+ (* 1/2 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x))) eps)
(/ (+ (* eps (- (* eps (- (* 1/6 (/ 1 (cos x))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1/2 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))) eps)
(/ (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- (* 1/6 (/ 1 (cos x))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/12 (/ (sin x) (pow (cos x) 2))) (* 1/24 (/ (sin x) (pow (cos x) 2))))))) (* 1/6 (/ 1 (cos x)))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1/2 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))) eps)
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(- (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)))
(* -1/48 eps)
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 5))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 5))
(* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* -1/645120 (pow eps 2))
(* 1/3840 (pow eps 2))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/645120 (pow eps 4))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)

Outputs
(* 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)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(.f64 #s(literal -1/322560 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
(* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
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(* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
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1/2
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eps
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(* -1/6 (pow eps 3))
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1
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
(/ (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- (* 1/6 (/ 1 (cos x))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/12 (/ (sin x) (pow (cos x) 2))) (* 1/24 (/ (sin x) (pow (cos x) 2))))))) (* 1/6 (/ 1 (cos x)))) (* -1/4 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1/2 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 eps (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -1/24 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)
(/ 1 (- (sin (+ eps x)) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (+ eps x)) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/ 1 (- (sin (- x (* -1 eps))) (sin x)))
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps)))))) #s(literal -1 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 (- 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 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64))))))
(* 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 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 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 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+.f64 (sin.f64 eps) (.f64 x (+.f64 (cos.f64 eps) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (.f64 x (*.f64 #s(literal -1/6 binary64) (cos.f64 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 (- 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 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64)))))))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))
(* -1/645120 (pow eps 5))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* -1/645120 (pow eps 5))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* -1/645120 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(* 1/3840 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3840 binary64))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* -1/48 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)

eval89.0ms (0.6%)

Compiler: Compiled 20322 to 2106 computations (89.6% saved)

prune87.0ms (0.6%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	752	17	769
Fresh	4	12	16
Picked	2	3	5
Done	0	3	3
Total	758	35	793

Accuracy

100.0%

Counts

793 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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)))))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
	96.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
	59.5%	(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
	51.1%	(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)) eps)
✓	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	96.6%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
	96.6%	(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
	96.9%	(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
	96.8%	(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
	96.6%	(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
▶	99.8%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
	99.7%	(.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) eps) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.6%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	99.7%	(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
	51.0%	(.f64 (.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
▶	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
✓	99.7%	(.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))))
	98.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	21.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
▶	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
	96.8%	(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
	96.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
	5.5%	(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
▶	5.9%	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
	45.0%	(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
✓	98.4%	(*.f64 eps (cos.f64 x))
✓	96.5%	eps

Compiler

Compiled 1453 to 869 computations (40.2% saved)

simplify226.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))
✓	cost-diff	0	(.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
✓	cost-diff	512	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))
✓	cost-diff	512	(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))))))
✓	cost-diff	512	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))))))))
✓	cost-diff	512	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
✓	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 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))
✓	cost-diff	0	(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))

Rules

3628×	`sum3-define`
3126×	`-lowering-.f32`
3126×	`-lowering-.f64`
2430×	`sum5-define`
2400×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	549
1	200	487
2	672	481
3	2238	481
4	6682	465
5	6757	465
6	6775	465
7	6776	465
8	6776	465
0	9342	465

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ 1/2 (* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))))) (* eps (* 2 (cos (/ (+ eps (* x 2)) 2)))))
(+ 1/2 (* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))))))
1/2
(* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))))
eps
(* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))))
(+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))
-1/48
(* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))
(* eps (+ 1/3840 (* (* eps eps) -1/645120)))
(+ 1/3840 (* (* eps eps) -1/645120))
1/3840
(* (* eps eps) -1/645120)
(* eps eps)
-1/645120
(* eps (* 2 (cos (/ (+ eps (* x 2)) 2))))
(* 2 (cos (/ (+ eps (* x 2)) 2)))
2
(cos (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
(* eps (* eps (* x -1/2)))
eps
(* eps (* x -1/2))
(* x -1/2)
x
-1/2
(* eps (+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x))))))
eps
(+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x)))))
1
(* (* x x) (+ -1/2 (* 1/24 (* x x))))
(* x x)
x
(+ -1/2 (* 1/24 (* x x)))
-1/2
(* 1/24 (* x x))
1/24
(* eps (+ (+ 1 (* (* eps eps) -1/6)) (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12))))))))
eps
(+ (+ 1 (* (* eps eps) -1/6)) (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12)))))))
(+ 1 (* (* eps eps) -1/6))
1
(* (* eps eps) -1/6)
(* eps eps)
-1/6
(* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12))))))
x
(+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12)))))
(* eps -1/2)
-1/2
(* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12))))
(+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12)))
(* (* eps x) 1/12)
(* eps x)
1/12
(+ -1/2 (* (* eps eps) 1/12))
(* (* eps eps) 1/12)
(* (* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))) 2)
(* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))))
eps
(* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))
(cos (+ x (* eps 1/2)))
(+ x (* eps 1/2))
x
(* eps 1/2)
1/2
(+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
(* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
(* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))
-1/48
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(* eps eps)
(+ 1/3840 (* (* eps eps) -1/645120))
1/3840
(* (* eps eps) -1/645120)
-1/645120
2

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

localize278.0ms (1.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
✓	accuracy	99.5%	(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 eps x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	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	99.9%	(.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))
✓	accuracy	99.5%	(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))

Results

180.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 630 to 62 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 66.0ms (57.6% of total)

...c/correct-round.rkt:119:19: 23.0ms (20.1% of total)

ival-add: 18.0ms (15.7% of total)

ival-cos: 5.0ms (4.4% of total)

ival-div: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

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

series65.0ms (0.4%)

Counts

29 → 504

Calls

Call 1

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

Outputs
#<alt (* eps (cos x))>
#<alt (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))>
#<alt (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))>
#<alt (* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/48 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))>
#<alt (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/48 eps)>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (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))>
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#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
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#<alt (* 2 (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 2 (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (* 1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))>
#<alt (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))>
#<alt (* -1/645120 (* (pow eps 7) (cos (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 7) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 7) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (+ x (* 1/2 eps))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 7) (cos (- x (* -1/2 eps)))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/645120 (cos (- x (* -1/2 eps)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (cos (- x (* -1/2 eps)))) (* 1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4)))))))>
#<alt (* -1 (* (pow eps 7) (+ (* -1/2 (/ (cos (- x (* -1/2 eps))) (pow eps 6))) (+ (* -1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (+ (* 1/645120 (cos (- x (* -1/2 eps)))) (* 1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))))))))>
#<alt (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* -1 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))>
#<alt (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1/2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/6 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))>
#<alt (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* eps (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (+ (* -1 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* -1/2 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* 1/6 (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))) (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (+ x (* 1/2 eps))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* (cos (- (* 1/2 eps) (* -1 x))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (* 1/2 (cos x))>
#<alt (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x)))>
#<alt (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))>
#<alt (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x)))))))))>
#<alt (* -1/645120 (* (pow eps 6) (cos (+ x (* 1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (+ x (* 1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (+ x (* 1/2 eps)))) (+ (* 1/3840 (/ (cos (+ x (* 1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (+ x (* 1/2 eps))) (pow eps 6)))))))>
#<alt (* -1/645120 (* (pow eps 6) (cos (- x (* -1/2 eps)))))>
#<alt (* (pow eps 6) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))))))>
#<alt (* (pow eps 6) (+ (* -1/48 (/ (cos (- x (* -1/2 eps))) (pow eps 4))) (+ (* -1/645120 (cos (- x (* -1/2 eps)))) (+ (* 1/3840 (/ (cos (- x (* -1/2 eps))) (pow eps 2))) (* 1/2 (/ (cos (- x (* -1/2 eps))) (pow eps 6)))))))>
#<alt (cos (* 1/2 eps))>
#<alt (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))>
#<alt (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos (- (* 1/2 eps) (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1/2 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (+ x (* 1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (cos (- x (* -1/2 eps)))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* 1/3840 eps)>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* eps (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 3) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (- (* 1/24 (pow x 2)) 1/2)>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<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 (* -1/6 (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 (* -1/48 eps)>
#<alt (* eps (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))>
#<alt (* 1/3840 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/645120 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* -1/48 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* -1/645120 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))>

Calls

126 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	-inf	(* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))
2.0ms	x	@	inf	(* eps (+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x))))))
1.0ms	eps	@	0	(* eps (+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x))))))
1.0ms	x	@	inf	(* (* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))) 2)
1.0ms	x	@	-inf	(* (* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))) 2)

rewrite344.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4428×	`-lowering-.f32`
4428×	`-lowering-.f64`
1814×	`/-lowering-/.f32`
1814×	`/-lowering-/.f64`
1776×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	362
1	389	319
2	3352	319
0	8464	319

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 456

Calls

Call 1

Inputs
(* (+ 1/2 (* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))))) (* eps (* 2 (cos (/ (+ eps (* x 2)) 2)))))
(+ 1/2 (* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))))))
(* eps (* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))))
(* eps (+ -1/48 (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))))
(* eps (* eps (* x -1/2)))
(* eps (* x -1/2))
(* x -1/2)
(* eps (+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x))))))
(+ 1 (* (* x x) (+ -1/2 (* 1/24 (* x x)))))
(* (* x x) (+ -1/2 (* 1/24 (* x x))))
(* x x)
(* eps (+ (+ 1 (* (* eps eps) -1/6)) (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12))))))))
(+ (+ 1 (* (* eps eps) -1/6)) (* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12)))))))
(* x (+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12))))))
(+ (* eps -1/2) (* x (+ (* (* eps x) 1/12) (+ -1/2 (* (* eps eps) 1/12)))))
(* (* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))) 2)
(* eps (* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))))
(* (cos (+ x (* eps 1/2))) (+ 1/2 (* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))))
(cos (+ x (* eps 1/2)))
(* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))
(* eps (+ 1/3840 (* (* eps eps) -1/645120)))
(* 1/24 (* x x))
(+ -1/2 (* 1/24 (* x x)))
(* (* eps x) 1/12)
(* (* eps eps) -1/6)
(* (* eps eps) 1/12)
(* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(* eps (* eps (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))

Outputs
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 2 binary64))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))
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(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 2 binary64)))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))) (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 2 binary64)))))
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(fma.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))) #s(literal 1/2 binary64))
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simplify342.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

5998×	`-lowering-.f32`
5998×	`-lowering-.f64`
3646×	`+-lowering-+.f64`
3646×	`+-lowering-+.f32`
1600×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	7768
1	2252	6499
0	8420	6499

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
1/2
(+ 1/2 (* -1/48 (pow eps 2)))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/48 (pow eps 2))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 6))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/48 eps)
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(* -1/645120 (pow eps 5))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* -1/645120 (pow eps 5))
(* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (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))
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(* -1/2 (* (pow eps 2) x))
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(* -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 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (* 1/24 (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) (* 1/24 (* eps (pow x 2))))))
(* 1/24 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))
(* 1/24 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (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)
(pow x 2)
(* eps (+ 1 (* -1/2 (pow x 2))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))))
(* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))))
(* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 3) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))
(* (pow eps 3) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))
(* (pow eps 3) (- (* 1/12 (pow x 2)) 1/6))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (* 1/12 (pow x 2)) 1/6)) (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1/12 (pow x 2))))) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))
(* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x))))
(* (pow x 3) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (+ (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) (pow x 3)) (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)))))
(* 1/12 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ (* eps (- (* 1/12 (pow eps 2)) 1/2)) x)) (* -1/12 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))) x)) (* -1/12 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* -1/6 (pow eps 2)))) x)) (* 1/2 (pow eps 2))) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2))) x)) (* -1/12 (pow eps 2)))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 2) (- (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))
(* (pow eps 2) (- (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))) 1/6))
(* (pow eps 2) (- (* 1/12 (pow x 2)) 1/6))
(* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))
(* (pow eps 2) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 eps) (+ (* 1/12 (/ (pow eps 2) x)) (/ 1 (pow x 3)))))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x)) (* 1/2 eps)) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))
(* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))
(* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1/2 (/ eps x)) (* 1/12 (pow eps 2))) 1/2) x)) (* -1/12 eps))))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2))))
(+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ (* -1/2 (pow x 2)) (* eps (+ (* 1/12 (* eps (pow x 2))) (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* 1/12 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/12 (pow x 2)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps))))
(* 1/12 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (/ (pow x 2) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
(* 1/12 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/12 x) (* 1/12 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))
(* 1/12 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/12 (pow x 2))) eps)) (* 1/12 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))
(+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2)))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (+ (* 1/12 eps) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
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(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))

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)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 x)) (.f64 eps (+.f64 (.f64 eps (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (+ eps (* 2 x))))))
(.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* (pow eps 7) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 #s(literal -1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) (.f64 #s(literal 1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps)))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) (.f64 #s(literal 1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps)))) (.f64 #s(literal -1/24 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 7) (+ (* -1/24 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/322560 (cos (* 1/2 (+ eps (* 2 x))))) (+ (* 1/1920 (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (/ (cos (* 1/2 (+ eps (* 2 x)))) (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) (.f64 #s(literal 1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps)))) (+.f64 (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 (cos.f64 (-.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1/322560 (* (pow eps 7) (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))))
(.f64 (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps))) (.f64 #s(literal 1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(.f64 (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/1920 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/322560 (cos (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/24 (/ (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (neg.f64 (-.f64 (+.f64 (.f64 #s(literal -1/1920 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps eps))) (+.f64 (.f64 #s(literal 1/322560 binary64) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) (.f64 #s(literal 1/24 binary64) (/.f64 (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 (cos.f64 (-.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (pow.f64 eps #s(literal 6 binary64))))))
(* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) eps)))
(+ (* -2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) eps))) (.f64 (.f64 x (.f64 #s(literal -2 binary64) eps)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) eps))) (.f64 x (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps #s(literal -2 binary64))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) eps))))))
(+ (* 2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -1 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* 1/3 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) eps))) (.f64 x (+.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 eps #s(literal -2 binary64))) (.f64 x (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (.f64 eps #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) eps)))))))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(* 2 (* eps (* (cos (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (cos.f64 (-.f64 x (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/48 (pow eps 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))
(+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))
(+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1/48 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/48 eps)
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(* 1/12 (* (pow eps 2) x))
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(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(- (* 1/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 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))
(* 1/12 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/12 binary64))
(* -1/48 eps)
(*.f64 eps #s(literal -1/48 binary64))
(* eps (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (*.f64 eps #s(literal 1/3840 binary64)))))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))
(* eps (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))
(* -1/645120 (pow eps 5))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 5 binary64)))
(* -1/645120 (pow eps 5))
(*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 5 binary64))))
(* 1/3840 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3840 binary64)))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* -1/645120 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* -1/48 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/645120 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))

eval125.0ms (0.8%)

Compiler: Compiled 46838 to 2722 computations (94.2% saved)

prune116.0ms (0.8%)

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	967	11	978
Fresh	5	19	24
Picked	2	3	5
Done	0	6	6
Total	974	39	1013

Accuracy

100.0%

Counts

1013 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.9%	(/.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)))))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
	96.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
	59.5%	(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
	51.1%	(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)) eps)
✓	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
✓	61.1%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	96.6%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
	96.6%	(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
	96.9%	(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
	96.8%	(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
	96.6%	(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
	99.6%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
	99.4%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
	99.7%	(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
✓	99.7%	(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
	99.6%	(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
	51.0%	(.f64 (.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
	6.0%	(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
	96.8%	(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
	96.8%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
	96.5%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
	96.5%	(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
✓	99.7%	(.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))))
	98.2%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓	99.3%	(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
	21.2%	(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
✓	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
	96.8%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
	96.8%	(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
	96.9%	(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
	5.5%	(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
✓	5.9%	(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
	45.0%	(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
✓	98.4%	(*.f64 eps (cos.f64 x))
✓	96.5%	eps

Compiler

Compiled 2106 to 833 computations (60.4% saved)

regimes54.0ms (0.4%)

Counts

56 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) eps) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)) eps)
(.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 (sin.f64 (/.f64 (-.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps #s(literal 0 binary64)) (+.f64 eps (.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.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)))))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.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 (+.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)))))) #s(literal 2 binary64)) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))))

Outputs
(.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))

Calls

3 calls:

16.0ms	eps
15.0ms	x
15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 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)

regimes48.0ms (0.3%)

Counts

50 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) eps)))) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) eps) (-.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(.f64 (.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (.f64 (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 x) eps))) (.f64 eps eps)) eps)

Outputs

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

Calls

3 calls:

15.0ms	x
14.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts

41 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

Outputs

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

Calls

2 calls:

13.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes60.0ms (0.4%)

Counts

39 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64))))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

Outputs

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

Calls

2 calls:

42.0ms	x
14.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

37 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))

Outputs

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

Calls

2 calls:

15.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

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

Calls

2 calls:

11.0ms	x
10.0ms	eps

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts

33 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))

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

Calls

2 calls:

13.0ms	eps
9.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 (cos.f64 x) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))

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

Calls

2 calls:

10.0ms	eps
9.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts

30 → 1

Calls

Call 1

Inputs
eps
(.f64 eps (.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(+.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps x))))
(+.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 eps x))))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 eps (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))))) eps)
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps x))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) eps) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps))))))
(.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 (.f64 eps x) #s(literal 1/12 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 eps (.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64))))))))
(+.f64 eps (.f64 x (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/720 binary64))) (*.f64 eps #s(literal 1/24 binary64))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)))))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))) eps))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/12 binary64))) x))))))
(.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))))) eps) (-.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/36 binary64)) (.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 eps (.f64 x #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/216 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 eps (.f64 eps eps))) #s(literal -1/8 binary64)))))))
(.f64 eps (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))))
(sin.f64 eps)

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

Calls

2 calls:

9.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
6.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
96.8%	1	`eps`
96.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -58.3b remaining (-2588.6%)

Threshold costs -58.3b (-2588.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	212
1	151	212

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.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 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps #s(literal 1/3840 binary64)))))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))) (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (.f64 eps (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))
(.f64 (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps (.f64 (cos.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64)))))))
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (cos.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps #s(literal 1/2 binary64))))
(*.f64 eps (cos.f64 x))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x 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 x) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.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 #s(literal -1/2 binary64)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
eps

soundness1.9s (12.6%)

Rules

5998×	`-lowering-.f32`
5998×	`-lowering-.f64`
5082×	`-lowering-.f32`
5082×	`-lowering-.f64`
5054×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	201
1	245	182
2	2085	177
0	8279	177
0	635	7768
1	2252	6499
0	8420	6499
0	600	6039
1	2119	5292
2	7452	5285
0	8159	5285
0	483	4585
1	1614	3916
2	5896	3904
0	8051	3904
0	107	488
1	327	459
2	964	455
3	3564	455
0	8263	455
0	6	16
1	49	16
2	406	16
3	5276	16
0	8496	16

Stop Event

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

Compiler

Compiled 598 to 351 computations (41.3% saved)

preprocess83.0ms (0.5%)

Compiler: Compiled 476 to 194 computations (59.2% 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

analyze64.0ms (0.4%)

sample7.3s (48.1%)

preprocess47.0ms (0.3%)

explain96.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize41.0ms (0.3%)

series4.0ms (0%)

rewrite395.0ms (2.6%)

simplify247.0ms (1.6%)

eval30.0ms (0.2%)

prune47.0ms (0.3%)

simplify178.0ms (1.2%)

localize533.0ms (3.5%)

series56.0ms (0.4%)

rewrite305.0ms (2%)

simplify344.0ms (2.3%)

eval182.0ms (1.2%)

prune102.0ms (0.7%)

simplify212.0ms (1.4%)

localize282.0ms (1.9%)

series24.0ms (0.2%)

rewrite365.0ms (2.4%)

simplify287.0ms (1.9%)

eval89.0ms (0.6%)

prune87.0ms (0.6%)

simplify226.0ms (1.5%)

localize278.0ms (1.8%)

series65.0ms (0.4%)

rewrite344.0ms (2.3%)

simplify342.0ms (2.3%)

eval125.0ms (0.8%)

prune116.0ms (0.8%)

regimes54.0ms (0.4%)

regimes48.0ms (0.3%)

regimes28.0ms (0.2%)

regimes60.0ms (0.4%)

regimes29.0ms (0.2%)

regimes25.0ms (0.2%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes19.0ms (0.1%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

simplify11.0ms (0.1%)

soundness1.9s (12.6%)

preprocess83.0ms (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