Metrics for 2cos (problem 3.3.5)

analyze69.0ms (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: 37.0ms

ival-cos: 9.0ms (24.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (19.1% of total)

ival-<=: 6.0ms (16.4% of total)

ival-mult: 3.0ms (8.2% of total)

ival-fabs: 3.0ms (8.2% of total)

ival-<: 3.0ms (8.2% of total)

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

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

ival-and: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

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

sample9.7s (55%)

Results

3.8s	25841×	0	precondition
3.5s	5771×	2	valid
734.0ms	2403×	1	valid
15.0ms	82×	0	valid

Precisions

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

ival-cos: 2.3s (38.5% of total)

...c/correct-round.rkt:119:19: 858.0ms (14.6% of total)

backward-pass: 404.0ms (6.9% of total)

ival-add: 390.0ms (6.6% of total)

ival-mult: 383.0ms (6.5% of total)

ival-<: 383.0ms (6.5% of total)

ival-<=: 367.0ms (6.3% of total)

ival-fabs: 339.0ms (5.8% of total)

ival-sub: 297.0ms (5.1% of total)

ival-and: 143.0ms (2.4% of total)

const: 48.0ms (0.8% of total)

Bogosity

preprocess47.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain311.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
2	-	1	(888.9703340256146 2.110954337905374e-12)	`(cos.f64 (+.f64 x eps))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`eps`

Results

245.0ms	362×	2	valid
32.0ms	144×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-cos: 97.0ms (59.8% of total)

backward-pass: 46.0ms (28.4% of total)

ival-add: 11.0ms (6.8% of total)

ival-sub: 8.0ms (4.9% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize136.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	57.7%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

106.0ms	181×	2	valid
19.0ms	72×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-cos: 50.0ms (58.4% of total)

ival-sub: 21.0ms (24.5% of total)

backward-pass: 10.0ms (11.7% of total)

ival-add: 5.0ms (5.8% of total)

const: 0.0ms (0% of total)

series5.0ms (0%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite327.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
2148×	`/-lowering-/.f32`
2148×	`/-lowering-/.f64`
1850×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	50	16
2	412	16
3	5247	16
0	8061	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	481
1	304	458
2	777	457
3	2938	457
0	8476	457

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval37.0ms (0.2%)

Compiler: Compiled 6681 to 740 computations (88.9% saved)

prune33.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	248	9	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	248	10	258

Accuracy

99.8%

Counts

258 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
▶	56.6%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
	56.3%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	57.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	56.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	56.1%	(-.f64 (cos.f64 eps) (cos.f64 x))
	79.9%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
▶	56.0%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
▶	99.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.2%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))

Compiler

Compiled 243 to 168 computations (30.9% saved)

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1664×	`-lowering-.f32`
1664×	`-lowering-.f64`
1414×	`+-lowering-+.f64`
1414×	`+-lowering-+.f32`
1378×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	219
1	88	202
2	282	202
3	920	202
4	3017	202
5	6437	202
6	7981	202
0	8014	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ eps 0) 2))
(/ (+ eps 0) 2)
(+ eps 0)
eps
0
2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
-2
(+ (cos eps) -1)
(cos eps)
eps
-1
(- (cos (+ x eps)) 1)
(cos (+ x eps))
(+ x eps)
x
eps
1
(- (cos (+ x eps)) (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))
(cos (+ x eps))
(+ x eps)
x
eps
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))
1
(* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))
(* x x)
(+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))
-1/2
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(+ 1/24 (* (* x x) -1/720))
1/24
(* (* x x) -1/720)
-1/720
(* eps (- (* eps (* -1/2 (cos x))) (sin x)))
eps
(- (* eps (* -1/2 (cos x))) (sin x))
(* eps (* -1/2 (cos x)))
(* -1/2 (cos x))
-1/2
(cos x)
x
(sin x)

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

localize656.0ms (3.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
✓	accuracy	99.8%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/720 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
✓	accuracy	58.1%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	58.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	58.3%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))

Results

498.0ms	181×	2	valid
84.0ms	73×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 250 to 39 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-cos: 94.0ms (30.3% of total)

ival-mult: 71.0ms (22.9% of total)

backward-pass: 48.0ms (15.4% of total)

...c/correct-round.rkt:119:19: 29.0ms (9.3% of total)

ival-add: 27.0ms (8.7% of total)

ival-sin: 18.0ms (5.8% of total)

ival-sub: 10.0ms (3.2% of total)

ival-div: 9.0ms (2.9% of total)

const: 3.0ms (1% of total)

series26.0ms (0.1%)

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (sin (/ (+ eps 0) 2))>
#<alt (/ (+ eps 0) 2)>
#<alt (+ (cos eps) -1)>
#<alt (cos eps)>
#<alt (- (cos (+ x eps)) 1)>
#<alt (cos (+ x eps))>
#<alt (+ x eps)>
#<alt (- (cos (+ x eps)) (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))>
#<alt (* eps (- (* eps (* -1/2 (cos x))) (sin x)))>
#<alt (- (* eps (* -1/2 (cos x))) (sin x))>
#<alt (* eps (* -1/2 (cos x)))>
#<alt (* -1/2 (cos x))>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (* (* x x) (+ 1/24 (* (* x x) -1/720)))>
#<alt (* (* x x) -1/720)>
#<alt (cos x)>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* -2 (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))>
#<alt (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin x)))>
#<alt (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))>
#<alt (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))>
#<alt (pow (sin (* 1/2 eps)) 2)>
#<alt (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/48 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (sin (* 1/2 eps))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* -1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos x) 1)>
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (+ (/ 1/2 (pow x 4)) (/ (cos (+ eps x)) (pow x 6)))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (+ (/ 1/2 (pow x 4)) (/ (cos (- eps (* -1 x))) (pow x 6)))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (- (cos x) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1/720 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* -1 (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1 x) (* -1/2 eps))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* eps (- (* eps (* -1/2 (cos x))) (sin x)))
2.0ms	x	@	-inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	inf	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	0	(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	inf	(- (cos (+ x eps)) (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))

rewrite410.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5480×	`-lowering-.f32`
5480×	`-lowering-.f64`
3148×	`+-lowering-+.f64`
3148×	`+-lowering-+.f32`
2704×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	142
1	231	132
2	2329	132
0	10595	132

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 356

Calls

Call 1

Inputs
(* (* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (sin (/ (+ eps 0) 2)) (sin (/ (+ eps (* x 2)) 2)))
(sin (/ (+ eps 0) 2))
(/ (+ eps 0) 2)
(+ (cos eps) -1)
(cos eps)
(- (cos (+ x eps)) 1)
(cos (+ x eps))
(+ x eps)
(- (cos (+ x eps)) (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720)))))))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 1/24 (* (* x x) -1/720))))))
(* eps (- (* eps (* -1/2 (cos x))) (sin x)))
(- (* eps (* -1/2 (cos x))) (sin x))
(* eps (* -1/2 (cos x)))
(* -1/2 (cos x))
(sin (/ (+ eps (* x 2)) 2))
(* (* x x) (+ 1/24 (* (* x x) -1/720)))
(* (* x x) -1/720)
(cos x)

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

simplify252.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
3980×	`+-lowering-+.f64`
3980×	`+-lowering-+.f32`
1264×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	3280
1	1200	2878
2	3699	2829
0	8081	2829

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(* -2 (pow (sin (* 1/2 eps)) 2))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(* 1/2 (* eps (sin x)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(pow (sin (* 1/2 eps)) 2)
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(sin (* 1/2 eps))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos x) 1)
(- (+ (cos x) (* -1 (* eps (sin x)))) 1)
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (+ (/ 1/2 (pow x 4)) (/ (cos (+ eps x)) (pow x 6)))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (+ (/ 1/2 (pow x 4)) (/ (cos (- eps (* -1 x))) (pow x 6)))) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(- (cos x) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1/720 (pow x 6))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* -1 (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* -1/2 (* eps (cos x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(- (* -1/2 (* eps (cos x))) (sin x))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(sin x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin (* 1/2 eps))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(sin (* 1/2 (- eps (* -2 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 4))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
(* -1/720 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal 1/6 binary64)) (.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps #s(literal 1/24 binary64))))))) (sin.f64 x)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (pow (sin (* 1/2 eps)) 2))
(.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal -2 binary64)) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))))
(+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))
(+.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (.f64 x (+.f64 (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 x (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(* 1/2 (* eps (sin x)))
(.f64 eps (.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(pow (sin (* 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 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))))))
(+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))
(+.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 eps eps))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))))))) #s(literal 1 binary64))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (*.f64 x (sin.f64 eps)))
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (.f64 x (-.f64 (.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 eps))))
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (.f64 x (+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (.f64 (sin.f64 eps) (+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos x) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(- (+ (cos x) (* -1 (* eps (sin x)))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)
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(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* -1 (sin x))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(+ (* -1 x) (* -1/2 eps))
(-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))
(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(- (* -1/2 (* eps (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 x x) #s(literal 1/1440 binary64))))))))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* -1/2 (* eps (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 x x))))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))) x) x)))))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(sin x)
(sin.f64 x)
(+ (sin x) (* 1/2 (* eps (cos x))))
(+.f64 (sin.f64 x) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))
(+.f64 (.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/8 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (.f64 eps (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))
(+.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 (.f64 eps (sin.f64 x)) #s(literal -1/8 binary64)) (.f64 (cos.f64 x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- (* 2 x) (* -1 eps))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))
(+.f64 (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (sin.f64 (.f64 eps #s(literal 1/2 binary64)))))
(+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))
(+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (+ eps (* 2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(sin (* 1/2 (- eps (* -2 x))))
(sin.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64))))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/720 (pow x 4))
(.f64 x (.f64 x (.f64 #s(literal -1/720 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(.f64 (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval92.0ms (0.5%)

Compiler: Compiled 21601 to 1640 computations (92.4% saved)

prune86.0ms (0.5%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	777	22	799
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	782	27	809

Accuracy

100.0%

Counts

809 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.6%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps (.f64 eps eps))) (.f64 eps eps))
▶	85.6%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
	57.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
✓	57.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	56.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
	56.1%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.9%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	99.2%	(+.f64 (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
	98.0%	(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
▶	55.9%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
▶	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	99.1%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	33.8%	(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	98.0%	(.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
	57.2%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	98.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	97.3%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	97.3%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
▶	98.0%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
	33.5%	(.f64 eps (.f64 (-.f64 (pow.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))))))
	99.1%	(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
	57.2%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))

Compiler

Compiled 918 to 607 computations (33.9% saved)

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	cost-diff	0	(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
✓	cost-diff	0	(.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps))
✓	cost-diff	256	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
✓	cost-diff	0	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))
✓	cost-diff	0	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64))))))))
✓	cost-diff	0	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2048×	`+-lowering-+.f64`
2048×	`+-lowering-+.f32`
1448×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	48	361
1	135	329
2	452	326
3	1293	320
4	3735	320
5	5500	319
0	8145	319

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))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
eps
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
1/2
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(* eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))
-1/48
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(+ 1/3840 (* (* eps eps) -1/645120))
1/3840
(* (* eps eps) -1/645120)
-1/645120
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
(+ 1 -1)
1
-1
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))))
eps
(+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4))))))
(* eps -1/2)
-1/2
(* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))
x
(+ -1 (* x (+ (* x 1/6) (* eps 1/4))))
-1
(* x (+ (* x 1/6) (* eps 1/4)))
(+ (* x 1/6) (* eps 1/4))
(* x 1/6)
1/6
(* eps 1/4)
1/4
(* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))
(* eps 1/2)
eps
1/2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
(/ (* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps)) eps)
(* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps))
(- (* eps (* -1/2 (cos x))) (sin x))
(* eps (* -1/2 (cos x)))
eps
(* -1/2 (cos x))
-1/2
(cos x)
x
(sin x)
(* eps eps)

Outputs
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(.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 (sin.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))))))) (sin (/ (+ eps (* x 2)) 2)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (/.f64 (+.f64 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 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
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
(+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))
1/2
#s(literal 1/2 binary64)
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
(* eps eps)
(*.f64 eps eps)
(+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))
(+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 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 eps (.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))
-1/645120
#s(literal -1/645120 binary64)
(sin (/ (+ eps (* x 2)) 2))
(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(+ 1 -1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
eps
(+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4))))))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))))
(* eps -1/2)
(*.f64 eps #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))
x
(+ -1 (* x (+ (* x 1/6) (* eps 1/4))))
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ (* x 1/6) (* eps 1/4)))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
(+ (* x 1/6) (* eps 1/4))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* eps 1/4)
(*.f64 eps #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2 binary64)))
(* eps 1/2)
(*.f64 eps #s(literal 1/2 binary64))
eps
1/2
#s(literal 1/2 binary64)
(sin (/ (+ eps (* x 2)) 2))
(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(/ (* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps)) eps)
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps))
(.f64 (.f64 eps eps) (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(- (* eps (* -1/2 (cos x))) (sin x))
(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
(* eps (* -1/2 (cos x)))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
-1/2
#s(literal -1/2 binary64)
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)
(* eps eps)
(*.f64 eps eps)

localize225.0ms (1.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps))
✓	accuracy	86.7%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	accuracy	99.9%	(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
✓	accuracy	99.6%	(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	99.8%	(.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	99.8%	(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.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))))))

Results

157.0ms	253×	0	valid
10.0ms	3×	5	exit

Compiler

Compiled 402 to 48 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 33.0ms (46.1% of total)

...c/correct-round.rkt:119:19: 14.0ms (19.6% of total)

ival-add: 11.0ms (15.4% of total)

ival-div: 4.0ms (5.6% of total)

ival-sin: 4.0ms (5.6% of total)

ival-cos: 2.0ms (2.8% of total)

backward-pass: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

series36.0ms (0.2%)

Counts

23 → 432

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ 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 (+ 1 -1)>
#<alt (* eps (+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))))>
#<alt (+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4))))))>
#<alt (* eps -1/2)>
#<alt (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))>
#<alt (* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps 1/2)>
#<alt (sin (/ (+ eps (* x 2)) 2))>
#<alt (/ (* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps)) eps)>
#<alt (* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps))>
#<alt (- (* eps (* -1/2 (cos x))) (sin x))>
#<alt (* eps (* -1/2 (cos x)))>
#<alt (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))>
#<alt (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))>
#<alt (* (* eps eps) -1/645120)>
#<alt (* x 1/6)>
#<alt (+ (* x 1/6) (* eps 1/4))>
#<alt (* x (+ (* x 1/6) (* eps 1/4)))>

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))>
#<alt (* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))>
#<alt (* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))>
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#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- (* 2 x) (* -1 eps))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 eps))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* 1/2 (* eps (* x (cos (* 1/2 eps))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (* x (sin (* 1/2 eps))))) (* 1/2 (* eps (cos (* 1/2 eps)))))))>
#<alt (+ (* 1/2 (* eps (sin (* 1/2 eps)))) (* x (+ (* 1/2 (* eps (cos (* 1/2 eps)))) (* x (+ (* -1/4 (* eps (sin (* 1/2 eps)))) (* -1/12 (* eps (* x (cos (* 1/2 eps))))))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (+ eps (* 2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 (* eps (sin (* 1/2 (- eps (* -2 x))))))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (sin x)>
#<alt (+ (sin x) (* 1/2 (* eps (cos x))))>
#<alt (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))>
#<alt (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 (- (* 2 x) (* -1 eps))))>
#<alt (sin (* 1/2 eps))>
#<alt (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))>
#<alt (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (+ eps (* 2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (sin (* 1/2 (- eps (* -2 x))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* -1 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* (pow eps 2) (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* -1/2 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1/2 (pow eps 3))>
#<alt (+ (* -1 (* (pow eps 2) x)) (* -1/2 (pow eps 3)))>
#<alt (+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* 1/4 (* (pow eps 3) x)))))>
#<alt (+ (* -1/2 (pow eps 3)) (* x (+ (* -1 (pow eps 2)) (* x (+ (* 1/6 (* (pow eps 2) x)) (* 1/4 (pow eps 3)))))))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* (pow eps 2) (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* -1 (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1 x) (* -1/2 eps))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (- (* -1/2 (* eps (cos x))) (sin x))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))>
#<alt (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* -1/2 (* eps (cos x)))>
#<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 (* 1/3840 (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 (* -1/645120 (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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/4 eps)>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* x (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* 1/6 x)>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))>
#<alt (* 1/6 x)>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (+ (* 1/6 x) (* 1/4 eps))>
#<alt (* 1/4 eps)>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* eps (+ 1/4 (* 1/6 (/ x eps))))>
#<alt (* 1/4 eps)>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))>
#<alt (* 1/4 (* eps x))>
#<alt (* x (+ (* 1/6 x) (* 1/4 eps)))>
#<alt (* x (+ (* 1/6 x) (* 1/4 eps)))>
#<alt (* x (+ (* 1/6 x) (* 1/4 eps)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))>
#<alt (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))>
#<alt (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))>
#<alt (* 1/4 (* eps x))>
#<alt (* eps (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)))>
#<alt (* eps (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)))>
#<alt (* eps (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)))>
#<alt (* 1/4 (* eps x))>
#<alt (* -1 (* eps (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps)))))>

Calls

108 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))
4.0ms	eps	@	inf	(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
2.0ms	x	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
2.0ms	x	@	0	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	inf	(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)

rewrite283.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3076×	`fma-lowering-fma.f32`
3076×	`fma-lowering-fma.f64`
2712×	`-lowering-.f32`
2712×	`-lowering-.f64`
1896×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	257
1	251	234
2	2260	231
0	8180	231

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 413

Calls

Call 1

Inputs
(* (* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))))
(+ 1/2 (* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120))))))
(+ 1 -1)
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))))
(+ (* eps -1/2) (* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4))))))
(* eps -1/2)
(* x (+ -1 (* x (+ (* x 1/6) (* eps 1/4)))))
(* (* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps 1/2) (sin (/ (+ eps (* x 2)) 2)))
(* eps 1/2)
(sin (/ (+ eps (* x 2)) 2))
(/ (* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps)) eps)
(* (- (* eps (* -1/2 (cos x))) (sin x)) (* eps eps))
(- (* eps (* -1/2 (cos x))) (sin x))
(* eps (* -1/2 (cos x)))
(* (* eps eps) (+ -1/48 (* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))))
(* (* eps eps) (+ 1/3840 (* (* eps eps) -1/645120)))
(* (* eps eps) -1/645120)
(* x 1/6)
(+ (* x 1/6) (* eps 1/4))
(* x (+ (* x 1/6) (* eps 1/4)))

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 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 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))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 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 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 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 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 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 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))) (.f64 eps (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps eps) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/4 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps #s(literal 1/4 binary64)) (-.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x #s(literal 1/6 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/4 binary64) eps)) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps eps) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps #s(literal 1/4 binary64)) (-.f64 (.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps eps) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/4 binary64) eps))))
(+.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x eps) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x eps) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) (.f64 (.f64 x eps) #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x eps) #s(literal 1/4 binary64)))))
(fma.f64 eps (.f64 #s(literal 1/4 binary64) x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (*.f64 x eps) #s(literal 1/4 binary64)))
(fma.f64 x (.f64 eps #s(literal 1/4 binary64)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (*.f64 x eps) #s(literal 1/4 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (*.f64 x eps) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 eps x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 eps #s(literal 1/4 binary64)) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (*.f64 x eps) #s(literal 1/4 binary64)))
(fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/4 binary64)) eps (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/64 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) (.f64 (.f64 x eps) #s(literal 1/4 binary64))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (*.f64 x eps) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) (.f64 (.f64 x eps) #s(literal 1/4 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x eps) #s(literal 1/4 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/64 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps #s(literal 1/4 binary64)) (-.f64 (.f64 eps #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 eps eps) #s(literal 1/16 binary64))) x)) (neg.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -1/4 binary64) eps))))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))
(.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) x)

simplify266.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

5798×	`-lowering-.f32`
5798×	`-lowering-.f64`
3038×	`+-lowering-+.f64`
3038×	`+-lowering-+.f32`
1652×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	5731
1	1987	5011
2	7147	5008
0	8061	5008

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

Outputs
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))))) (sin.f64 x)))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/322560 (sin (* 1/2 (+ eps (* 2 x)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))))))
(* (pow eps 7) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 7) (+ (* -1 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6))) (+ (* -1/1920 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (+ (* 1/322560 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/24 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 #s(literal 1/322560 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1/24 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (pow.f64 eps #s(literal 6 binary64)))))
(* 1/322560 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/322560 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/322560 binary64)) (/.f64 (.f64 #s(literal 1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/322560 binary64)) (/.f64 (.f64 #s(literal -1/24 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (+ (* -1/24 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))) (+ (* -1/322560 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (+ (* 1/1920 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6)))))))
(.f64 (+.f64 (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/322560 binary64)) (/.f64 (.f64 #s(literal 1/1920 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps))) (+.f64 (/.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (pow.f64 eps #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -2 (* eps (* (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 eps (sin.f64 (.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 (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))
(+ (* -2 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))
(.f64 #s(literal -2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))) (.f64 x (.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps x)) (+.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))))))))))))
(+ (* -2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* -2 (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* x (+ (* 1/3 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (.f64 eps #s(literal 1/2 binary64)))))))) (.f64 x (.f64 x (+.f64 (.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x (cos.f64 (.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 (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))))))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* -2 (* eps (* (sin (* 1/2 (- eps (* -2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
(.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (*.f64 eps #s(literal -2 binary64)))
(* 1/2 (* eps (sin x)))
(.f64 (sin.f64 x) (.f64 eps #s(literal 1/2 binary64)))
(* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 eps (.f64 (sin.f64 x) #s(literal -1/12 binary64))) (.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x))))))))))
(.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal 1/2 binary64)) (.f64 eps (+.f64 (.f64 (cos.f64 x) #s(literal 1/4 binary64)) (.f64 eps (+.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) (.f64 eps (.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (+ eps (* 2 x))))))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
(* (pow eps 7) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/645120 binary64)) (/.f64 (.f64 #s(literal 1/3840 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (.f64 #s(literal 1/3840 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/645120 binary64)) (/.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))))))
(* (pow eps 7) (+ (* -1/48 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 4))) (+ (* -1/645120 (sin (* 1/2 (+ eps (* 2 x))))) (+ (* 1/3840 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 2))) (* 1/2 (/ (sin (* 1/2 (+ eps (* 2 x)))) (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/48 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/3840 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal -1/645120 binary64)) (/.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 6 binary64)))))))
(* -1/645120 (* (pow eps 7) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (neg.f64 (+.f64 (/.f64 (.f64 #s(literal -1/3840 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal 1/645120 binary64)))))
(* -1 (* (pow eps 7) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4)))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/3840 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x)))) (.f64 eps eps)) (+.f64 (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) #s(literal 1/645120 binary64)) (/.f64 (.f64 #s(literal 1/48 binary64) (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1 (* (pow eps 7) (+ (* -1/2 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 6))) (+ (* -1/3840 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 2))) (+ (* 1/645120 (sin (* 1/2 (- (* 2 x) (* -1 eps))))) (* 1/48 (/ (sin (* 1/2 (- (* 2 x) (* -1 eps)))) (pow eps 4))))))))
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(* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.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 (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
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(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* x (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))) (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))
(+.f64 (.f64 x (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (sin.f64 (.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 (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))))) (.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (+.f64 (sin.f64 (.f64 eps #s(literal 1/2 binary64))) (.f64 x (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(+ (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* eps (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))) (* x (+ (* -1/2 (* eps (* (sin (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) (* -1/6 (* eps (* x (* (cos (* 1/2 eps)) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))))))))
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(* eps (* (sin (* 1/2 (+ eps (* 2 x)))) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
(.f64 eps (.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.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 (* (sin (* 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 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))))
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (*.f64 eps #s(literal -1/48 binary64)))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))))))
(* -1/645120 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (.f64 eps eps))))
(* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 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 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (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 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64))
(* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/645120 binary64) (/.f64 #s(literal -1/3840 binary64) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (/.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)))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))
(.f64 (-.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 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (pow.f64 eps #s(literal 7 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 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps 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 (.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)))))))))
(* -1/645120 (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 1/2 binary64) (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))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (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)))))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* -1 (* (pow eps 2) (+ 1/2 (* -1/4 (pow x 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* -1/2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x (.f64 eps #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))) eps)))
(* 1/6 (* eps (pow x 3)))
(.f64 eps (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))
(* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))
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(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))
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eval99.0ms (0.6%)

Compiler: Compiled 27452 to 2492 computations (90.9% saved)

prune89.0ms (0.5%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	852	19	871
Fresh	9	10	19
Picked	2	3	5
Done	0	3	3
Total	863	35	898

Accuracy

100.0%

Counts

898 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
	83.7%	(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
	85.2%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
✓	85.6%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
	85.1%	(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
	83.7%	(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
	57.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	97.3%	(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
✓	57.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	56.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
▶	56.1%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.9%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	97.3%	(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
	79.4%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
▶	99.4%	(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	96.8%	(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
	57.2%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
	99.1%	(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	98.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	97.3%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	98.0%	(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
▶	98.0%	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
	97.3%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
	32.5%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
✓	98.0%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
▶	97.9%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
	20.0%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
	57.2%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
▶	55.9%	#s(literal 0 binary64)

Compiler

Compiled 1178 to 753 computations (36.1% saved)

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 eps x))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
✓	cost-diff	256	(cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
✓	cost-diff	256	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	cost-diff	128	(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
✓	cost-diff	128	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))
✓	cost-diff	256	(.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (*.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64))))
✓	cost-diff	256	(.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	cost-diff	256	(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Rules

3216×	`-lowering-.f32`
3216×	`-lowering-.f64`
2118×	`+-lowering-+.f64`
2118×	`+-lowering-+.f32`
1840×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	351
1	157	321
2	467	310
3	1412	291
4	3893	291
5	7502	291
0	8694	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)))
eps
(+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))
(* (* eps eps) -1/48)
(* eps eps)
-1/48
(+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)
(* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))
(* 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)
-1/645120
1/2
(sin (/ (+ eps (* x 2)) 2))
(/ (+ eps (* x 2)) 2)
(+ eps (* x 2))
(* x 2)
x
2
-2
0
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6))))))
eps
(+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6)))))
(* eps -1/2)
-1/2
(* x (+ -1 (* x (* x 1/6))))
x
(+ -1 (* x (* x 1/6)))
-1
(* x (* x 1/6))
(* x 1/6)
1/6
(* eps (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x))))))
eps
(+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x)))))
(* x (+ -1 (* 1/6 (* x x))))
x
(+ -1 (* 1/6 (* x x)))
-1
(* 1/6 (* x x))
1/6
(* x x)
(* eps (+ -1/2 (* 1/4 (* x x))))
(+ -1/2 (* 1/4 (* x x)))
-1/2
(* 1/4 (* x x))
1/4
(- (cos (* x (+ 1 (/ eps x)))) 1)
(cos (* x (+ 1 (/ eps x))))
(* x (+ 1 (/ eps x)))
x
(+ 1 (/ eps x))
1
(/ eps x)
eps

Outputs
(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ 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 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 eps #s(literal -2 binary64))))
(* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ 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 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)))
(.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 (*.f64 eps eps) #s(literal -1/645120 binary64)))))))))
eps
(+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))
(+.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 (.f64 eps eps) #s(literal -1/645120 binary64))))))))
(* (* eps eps) -1/48)
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(* eps eps)
(*.f64 eps eps)
-1/48
#s(literal -1/48 binary64)
(+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64))
(* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120)))))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))
(* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))
(.f64 eps (.f64 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))
-1/645120
#s(literal -1/645120 binary64)
1/2
#s(literal 1/2 binary64)
(sin (/ (+ eps (* x 2)) 2))
(sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/ (+ eps (* x 2)) 2)
(/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+ eps (* x 2))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
0
#s(literal 0 binary64)
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
eps
(+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6)))))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(* eps -1/2)
(*.f64 eps #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (+ -1 (* x (* x 1/6))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x
(+ -1 (* x (* x 1/6)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
-1
#s(literal -1 binary64)
(* x (* x 1/6))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* eps (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64)))))
eps
(+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x)))))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 1 binary64))))
(* x (+ -1 (* 1/6 (* x x))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x
(+ -1 (* 1/6 (* x x)))
(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
-1
#s(literal -1 binary64)
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
(* eps (+ -1/2 (* 1/4 (* x x))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(+ -1/2 (* 1/4 (* x x)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))
-1/2
#s(literal -1/2 binary64)
(* 1/4 (* x x))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(- (cos (* x (+ 1 (/ eps x)))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(cos (* x (+ 1 (/ eps x))))
(cos.f64 (+.f64 eps x))
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(+ 1 (/ eps x))
(+.f64 #s(literal 1 binary64) (/.f64 eps x))
1
#s(literal 1 binary64)
(/ eps x)
(/.f64 eps x)
eps

localize434.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1 binary64) (/.f64 eps x))
✓	accuracy	99.9%	(cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
✓	accuracy	99.6%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
✓	accuracy	59.4%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.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	99.8%	(.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/48 binary64))

Results

339.0ms	244×	1	valid
15.0ms	5×	5	exit
4.0ms	7×	0	valid

Compiler

Compiled 412 to 52 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 87.0ms (45.2% of total)

backward-pass: 31.0ms (16.1% of total)

...c/correct-round.rkt:119:19: 26.0ms (13.5% of total)

ival-add: 22.0ms (11.4% of total)

ival-cos: 9.0ms (4.7% of total)

ival-div: 8.0ms (4.2% of total)

ival-sin: 4.0ms (2.1% of total)

ival-sub: 3.0ms (1.6% of total)

const: 2.0ms (1% of total)

series21.0ms (0.1%)

Counts

23 → 408

Calls

Call 1

Inputs
#<alt (* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)>
#<alt (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2)))>
#<alt (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)))>
#<alt (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))>
#<alt (* eps (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6))))))>
#<alt (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6)))))>
#<alt (* eps -1/2)>
#<alt (* x (+ -1 (* x (* x 1/6))))>
#<alt (* eps (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x))))))>
#<alt (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x)))))>
#<alt (* x (+ -1 (* 1/6 (* x x))))>
#<alt (+ -1 (* 1/6 (* x x)))>
#<alt (- (cos (* x (+ 1 (/ eps x)))) 1)>
#<alt (cos (* x (+ 1 (/ eps x))))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (+ 1 (/ eps x))>
#<alt (* (* eps eps) -1/48)>
#<alt (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))>
#<alt (* (* eps eps) -1/645120)>
#<alt (* x 1/6)>
#<alt (* x (* x 1/6))>
#<alt (* 1/6 (* x x))>
#<alt (* eps (+ -1/2 (* 1/4 (* x x))))>

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

Calls

102 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	-inf	(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	x	@	0	(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)
1.0ms	eps	@	-inf	(* eps (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x))))))
0.0ms	eps	@	0	(* eps (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6))))))

rewrite298.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4018×	`-lowering-.f32`
4018×	`-lowering-.f64`
2356×	`fma-lowering-fma.f32`
2356×	`fma-lowering-fma.f64`
2184×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	243
1	313	222
2	2608	209
0	8415	209

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 424

Calls

Call 1

Inputs
(* (* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2))) -2)
(* (* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))) (sin (/ (+ eps (* x 2)) 2)))
(* eps (+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2)))
(+ (* (* eps eps) -1/48) (+ (* (* eps eps) (* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))) 1/2))
(* eps (+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6))))))
(+ (* eps -1/2) (* x (+ -1 (* x (* x 1/6)))))
(* eps -1/2)
(* x (+ -1 (* x (* x 1/6))))
(* eps (+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x))))))
(+ (* x (+ -1 (* 1/6 (* x x)))) (* eps (+ -1/2 (* 1/4 (* x x)))))
(* x (+ -1 (* 1/6 (* x x))))
(+ -1 (* 1/6 (* x x)))
(- (cos (* x (+ 1 (/ eps x)))) 1)
(cos (* x (+ 1 (/ eps x))))
(* x (+ 1 (/ eps x)))
(+ 1 (/ eps x))
(* (* eps eps) -1/48)
(* eps (* eps (+ 1/3840 (* (* eps eps) -1/645120))))
(* (* eps eps) -1/645120)
(* x 1/6)
(* x (* x 1/6))
(* 1/6 (* x x))
(* eps (+ -1/2 (* 1/4 (* x x))))

Outputs
(.f64 eps (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 eps (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))))) (.f64 eps (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.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 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) #s(literal -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 (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))))))))
(.f64 (.f64 #s(literal -2 binary64) 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))))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
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(fma.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) eps #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 1 binary64)) (/.f64 x eps))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 1 binary64)) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 eps eps) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 eps x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 eps x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 1 binary64)) (/.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x))))
(/.f64 (-.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps x))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x)) (/.f64 (.f64 eps eps) (.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 eps x))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 1 binary64)) (/.f64 x eps))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 eps eps)) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 1 binary64)) (/.f64 x eps)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 eps x))))
(.f64 eps (.f64 eps #s(literal -1/48 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/48 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -1/48 binary64)) eps)
(+.f64 (.f64 eps (.f64 eps #s(literal 1/3840 binary64))) (.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))
(+.f64 (.f64 (.f64 eps #s(literal 1/3840 binary64)) eps) (.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))) eps))
(+.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (.f64 eps eps)) (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)))
(fma.f64 eps (.f64 eps #s(literal 1/3840 binary64)) (.f64 eps (.f64 eps (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))
(fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))))
(fma.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))
(fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) (.f64 (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (*.f64 eps eps)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (.f64 eps eps) (.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)))
(fma.f64 (.f64 eps #s(literal 1/3840 binary64)) eps (.f64 (.f64 eps (.f64 eps (*.f64 eps #s(literal -1/645120 binary64)))) eps))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/56623104000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/268485921865728000 binary64))))) (+.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 eps (.f64 eps #s(literal -1/645120 binary64))) (-.f64 (.f64 eps (*.f64 eps #s(literal -1/645120 binary64))) #s(literal 1/3840 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 1/14745600 binary64) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/416179814400 binary64)))) (-.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))))
(.f64 (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64)))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))) eps)
(.f64 eps (.f64 eps #s(literal -1/645120 binary64)))
(.f64 (.f64 eps eps) #s(literal -1/645120 binary64))
(.f64 #s(literal -1/645120 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -1/645120 binary64)) eps)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)) (.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (.f64 x x) (*.f64 #s(literal 1/4 binary64) eps)))
(fma.f64 eps (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (.f64 x x) (*.f64 #s(literal 1/4 binary64) eps)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) eps) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) eps (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 x eps) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 x x)) #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps #s(literal 1/4 binary64)) (.f64 x x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 x #s(literal 1/4 binary64))) x (*.f64 eps #s(literal -1/2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps))))))
(/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)) (.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)))) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x x) (*.f64 #s(literal 1/4 binary64) eps))))
(/.f64 (.f64 eps (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 eps (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) eps) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64)))) eps)

simplify275.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

5596×	`-lowering-.f32`
5596×	`-lowering-.f64`
2260×	`+-lowering-+.f64`
2260×	`+-lowering-+.f32`
1500×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	4993
1	1617	4246
2	5896	4227
0	8367	4227

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval94.0ms (0.5%)

Compiler: Compiled 28972 to 2238 computations (92.3% saved)

prune94.0ms (0.5%)

Pruning

42 alts after pruning (31 fresh and 11 done)

	Pruned	Kept	Total
New	818	14	832
Fresh	7	17	24
Picked	0	5	5
Done	0	6	6
Total	825	42	867

Accuracy

100.0%

Counts

867 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
	83.7%	(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
✓	85.6%	(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
	85.1%	(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
	83.7%	(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
	26.7%	(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
	57.7%	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	97.3%	(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
✓	57.6%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	56.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
✓	56.1%	(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
	79.9%	(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
	97.3%	(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
	79.4%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
	99.4%	(.f64 (.f64 (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	99.4%	(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
✓	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.4%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	99.3%	(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	96.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
	57.2%	(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
	99.1%	(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
	31.6%	(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
	98.0%	(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
✓	99.2%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	98.6%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	97.3%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	97.3%	(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
	97.9%	(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
✓	98.0%	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
	79.4%	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
	32.4%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
✓	98.0%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
✓	97.9%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
	31.1%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
	20.0%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
	97.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
	57.2%	(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
	57.2%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
✓	55.9%	#s(literal 0 binary64)

Compiler

Compiled 2239 to 870 computations (61.1% saved)

regimes54.0ms (0.3%)

Counts

65 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps (.f64 eps eps))) (.f64 eps eps))
(.f64 (.f64 (sin.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(.f64 eps (.f64 (-.f64 (pow.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Counts

60 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 eps (.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))))
(.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) eps))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)) (.f64 eps eps)) eps)

Outputs

(*.f64 (*.f64 (*.f64 eps (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3840 binary64) (*.f64 eps (*.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Calls

3 calls:

17.0ms	x
15.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

52 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

2 calls:

14.0ms	eps
13.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))

Outputs

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

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.2%)

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) eps (.f64 eps (.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))

Outputs

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

Calls

2 calls:

12.0ms	x
12.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))

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

Calls

2 calls:

11.0ms	eps
11.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.1%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(-.f64 (cos.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) #s(literal 1 binary64))

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

Calls

2 calls:

10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

36 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)))))))))
(.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 x x)))) (/.f64 (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (-.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (.f64 x x))) (/.f64 (.f64 eps (*.f64 eps #s(literal 1/4 binary64))) x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64)))))))) eps) (-.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))))))) eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) eps))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))

Outputs
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))

Calls

2 calls:

10.0ms	eps
9.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 eps (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))

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

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps)))
(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (-.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) eps)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (*.f64 eps #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)) x))))

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

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(-.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (*.f64 eps x))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 eps x))
(/.f64 (.f64 (-.f64 (.f64 eps #s(literal -1/2 binary64)) x) (*.f64 eps eps)) eps)
(.f64 eps (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (.f64 eps (*.f64 eps x))) eps)
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal -1/720 binary64)))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))) eps))))

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

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
57.2%	1	`eps`
57.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
55.9%	1	`x`
55.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

150×	`*-commutative_binary64`
76×	`+-commutative_binary64`
36×	`sub-neg_binary64`
30×	`neg-mul-1_binary64`
28×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	339
1	225	339
2	275	339
3	309	339
4	330	339
5	336	339
6	337	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

Outputs
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (/.f64 eps #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) eps) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (/.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 1/2304 binary64))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 eps (.f64 eps #s(literal -1/645120 binary64))))))) #s(literal 1/2 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/48 binary64)))))))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/3840 binary64) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64))))))))))
(.f64 (.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 1/3840 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) #s(literal 1/3840 binary64))))))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))))))))
(.f64 (.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps)))) (sin.f64 (/.f64 (+.f64 eps (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 eps (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))))
(.f64 (sin.f64 (+.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) eps))
(.f64 (sin.f64 (+.f64 x (.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))) (.f64 x x)) (-.f64 (.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 eps #s(literal 1/4 binary64))))))))
(.f64 eps (+.f64 (+.f64 (.f64 eps #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

soundness2.0s (11.6%)

Rules

5798×	`-lowering-.f32`
5798×	`-lowering-.f64`
5596×	`-lowering-.f32`
5596×	`-lowering-.f64`
4482×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	5731
1	1987	5011
2	7147	5008
0	8061	5008
0	105	481
1	304	458
2	777	457
3	2938	457
0	8476	457
0	50	243
1	313	222
2	2608	209
0	8415	209
0	48	257
1	251	234
2	2260	231
0	8180	231
0	471	4993
1	1617	4246
2	5896	4227
0	8367	4227
0	368	3280
1	1200	2878
2	3699	2829
0	8081	2829
0	6	16
1	50	16
2	412	16
3	5247	16
0	8061	16

Stop Event

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

Compiler

Compiled 897 to 502 computations (44% saved)

preprocess73.0ms (0.4%)

Compiler: Compiled 732 to 250 computations (65.8% 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

analyze69.0ms (0.4%)

sample9.7s (55%)

preprocess47.0ms (0.3%)

explain311.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize136.0ms (0.8%)

series5.0ms (0%)

rewrite327.0ms (1.9%)

simplify176.0ms (1%)

eval37.0ms (0.2%)

prune33.0ms (0.2%)

simplify174.0ms (1%)

localize656.0ms (3.7%)

series26.0ms (0.1%)

rewrite410.0ms (2.3%)

simplify252.0ms (1.4%)

eval92.0ms (0.5%)

prune86.0ms (0.5%)

simplify174.0ms (1%)

localize225.0ms (1.3%)

series36.0ms (0.2%)

rewrite283.0ms (1.6%)

simplify266.0ms (1.5%)

eval99.0ms (0.6%)

prune89.0ms (0.5%)

simplify166.0ms (0.9%)

localize434.0ms (2.5%)

series21.0ms (0.1%)

rewrite298.0ms (1.7%)

simplify275.0ms (1.6%)

eval94.0ms (0.5%)

prune94.0ms (0.5%)

regimes54.0ms (0.3%)

regimes50.0ms (0.3%)

regimes32.0ms (0.2%)

regimes32.0ms (0.2%)

regimes31.0ms (0.2%)

regimes31.0ms (0.2%)

regimes29.0ms (0.2%)

regimes27.0ms (0.2%)

regimes24.0ms (0.1%)

regimes22.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify18.0ms (0.1%)

soundness2.0s (11.6%)

preprocess73.0ms (0.4%)

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