Metrics for 2cos (problem 3.3.5)

analyze89.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-cos: 39.0ms (60.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (10.8% of total)

ival-<: 4.0ms (6.2% of total)

ival-mult: 3.0ms (4.6% of total)

ival-<=: 3.0ms (4.6% of total)

ival-add: 2.0ms (3.1% of total)

ival-fabs: 2.0ms (3.1% of total)

ival-sub: 2.0ms (3.1% of total)

ival-and: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

sample9.2s (52.8%)

Results

3.5s	5696×	2	valid
3.3s	26063×	0	precondition
696.0ms	2487×	1	valid
11.0ms	73×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.0s

ival-cos: 2.5s (42.2% of total)

...c/correct-round.rkt:119:19: 815.0ms (13.7% of total)

ival-add: 412.0ms (6.9% of total)

ival-<=: 375.0ms (6.3% of total)

ival-mult: 369.0ms (6.2% of total)

ival-<: 349.0ms (5.9% of total)

ival-fabs: 336.0ms (5.6% of total)

ival-sub: 308.0ms (5.2% of total)

backward-pass: 286.0ms (4.8% of total)

ival-and: 142.0ms (2.4% of total)

const: 49.0ms (0.8% of total)

Bogosity

preprocess50.0ms (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))

explain248.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	-	1	(-411.77420046997986 4.1044657515569926e-13)	`(cos.f64 (+.f64 x eps))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`eps`

Results

189.0ms	372×	2	valid
25.0ms	134×	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: 148.0ms

ival-cos: 115.0ms (77.5% of total)

backward-pass: 14.0ms (9.4% of total)

ival-sub: 10.0ms (6.7% of total)

ival-add: 9.0ms (6.1% of total)

const: 1.0ms (0.7% 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
▶	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(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)

localize119.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	55.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

96.0ms	186×	2	valid
12.0ms	67×	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: 84.0ms

ival-cos: 67.0ms (80% of total)

backward-pass: 7.0ms (8.4% of total)

ival-add: 6.0ms (7.2% of total)

ival-sub: 4.0ms (4.8% of total)

const: 0.0ms (0% of total)

series8.0ms (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
5.0ms	eps	@	-inf	(- (cos (+ x eps)) (cos x))
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))

rewrite297.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 195

Calls

Call 1

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

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

simplify175.0ms (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	464
2	776	463
3	2952	463
0	8504	463

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval30.0ms (0.2%)

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

prune33.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	272	7	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	272	8	280

Accuracy

99.8%

Counts

280 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
▶	53.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	53.5%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
▶	79.9%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
	99.6%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
▶	99.8%	(.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)))))

Compiler

Compiled 193 to 140 computations (27.5% saved)

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3268×	`sum4-define`
1564×	`-lowering-.f32`
1564×	`-lowering-.f64`
1462×	`fma-lowering-fma.f32`
1462×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	156
1	80	154
2	209	153
3	484	151
4	953	151
5	1938	151
6	4548	151
7	7273	151
0	8013	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize412.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(*.f64 x (sin.f64 eps))
✓	accuracy	99.8%	(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
✓	accuracy	55.0%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	56.5%	(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) eps)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	55.0%	(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.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))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.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)))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))

Results

300.0ms	186×	2	valid
53.0ms	70×	1	valid

Compiler

Compiled 167 to 31 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-cos: 96.0ms (38.7% of total)

ival-mult: 76.0ms (30.6% of total)

backward-pass: 29.0ms (11.7% of total)

ival-add: 17.0ms (6.9% of total)

ival-sub: 11.0ms (4.4% of total)

...c/correct-round.rkt:119:19: 9.0ms (3.6% of total)

ival-sin: 8.0ms (3.2% of total)

const: 2.0ms (0.8% of total)

series145.0ms (0.8%)

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
121.0ms	x	@	0	(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
2.0ms	eps	@	inf	(- (+ (cos eps) -1) (* x (sin eps)))
2.0ms	x	@	-inf	(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
2.0ms	x	@	inf	(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
1.0ms	eps	@	0	(* eps (+ (* eps (* -1/2 (cos x))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))

rewrite449.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3768×	`-lowering-.f32`
3768×	`-lowering-.f64`
2904×	`+-lowering-+.f64`
2904×	`+-lowering-+.f32`
2860×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	112
1	174	110
2	1666	109
0	9684	109

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 385

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) (.f64 (.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))))
(fma.f64 eps (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps eps) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) eps (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 (sin.f64 x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) eps) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 (.f64 eps (sin.f64 x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(fma.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (sin.f64 x) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))))
(/.f64 (.f64 eps (+.f64 (.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))) (-.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) eps) (-.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (.f64 eps (+.f64 (.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 eps (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps)) (neg.f64 (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) eps)) (neg.f64 (-.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(.f64 eps (+.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))))
(.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)))) eps)
(+.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 (.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (sin.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (sin.f64 x) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 2 binary64))) (-.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))))) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))) (.f64 (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) (.f64 (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 eps) (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x)))) (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (.f64 #s(literal -1 binary64) (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps))) (cos.f64 eps)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))))) (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps)))) (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 x (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (+.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))))))))
(*.f64 x (sin.f64 eps))
(*.f64 (sin.f64 eps) x)
(*.f64 eps #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) eps)
(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/6 binary64)) eps)
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))

simplify325.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4924×	`-lowering-.f32`
4924×	`-lowering-.f64`
3588×	`+-lowering-+.f64`
3588×	`+-lowering-+.f32`
1478×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2583
1	1037	2487
2	3326	2434
0	8069	2434

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval87.0ms (0.5%)

Compiler: Compiled 19407 to 1575 computations (91.9% saved)

prune122.0ms (0.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	755	29	784
Fresh	0	2	2
Picked	4	1	5
Done	0	1	1
Total	759	33	792

Accuracy

100.0%

Counts

792 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	53.5%	(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
	99.8%	(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))
	96.8%	(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
▶	53.4%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	78.9%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) eps))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	29.7%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))
	11.4%	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
	79.5%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	79.9%	(*.f64 (sin.f64 x) (neg.f64 eps))
▶	78.9%	(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
	78.7%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
	78.3%	(*.f64 x (-.f64 #s(literal 0 binary64) eps))
	78.7%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
▶	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
	99.6%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	96.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	96.8%	(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
	98.2%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	98.1%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
▶	98.4%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	99.8%	(.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)))))
	98.7%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.3%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
	96.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
	47.6%	(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))))
	55.0%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	53.2%	(.f64 #s(literal 1/2 binary64) (.f64 x x))

Compiler

Compiled 1202 to 805 computations (33% saved)

simplify198.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 1/4 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	cost-diff	128	(+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
✓	cost-diff	128	(.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
✓	cost-diff	128	(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps)
✓	cost-diff	128	(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))
✓	cost-diff	0	(-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) x)
✓	cost-diff	0	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))
✓	cost-diff	6400	(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))

Rules

2422×	`fma-lowering-fma.f32`
2422×	`fma-lowering-fma.f64`
2202×	`-lowering-.f32`
2202×	`-lowering-.f64`
1836×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	338
1	149	322
2	471	317
3	1378	313
4	3787	312
5	7273	311
0	8414	311

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (sin x) (+ (* 1/6 (* eps eps)) -1)) eps) (* (* eps (* eps -1/2)) (cos x)))
(* (sin x) (+ (* 1/6 (* eps eps)) -1))
(sin x)
x
(+ (* 1/6 (* eps eps)) -1)
(* 1/6 (* eps eps))
1/6
(* eps eps)
eps
-1
(* (* eps (* eps -1/2)) (cos x))
(* eps (* eps -1/2))
(* eps -1/2)
-1/2
(cos x)
(+ 1 -1)
1
-1
(* eps (- (* eps (+ -1/2 (* 1/6 (* eps x)))) x))
eps
(- (* eps (+ -1/2 (* 1/6 (* eps x)))) x)
(* eps (+ -1/2 (* 1/6 (* eps x))))
(+ -1/2 (* 1/6 (* eps x)))
-1/2
(* 1/6 (* eps x))
1/6
(* eps x)
x
(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
x
(- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps)
(* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))))
(* x x)
(+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))
(* eps 1/6)
eps
1/6
(* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))
(* eps (+ -1/120 (* (* x x) 1/5040)))
(+ -1/120 (* (* x x) 1/5040))
-1/120
(* (* x x) 1/5040)
1/5040
(* eps (+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
eps
(+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(* eps (+ -1/2 (* x (* x 1/4))))
(+ -1/2 (* x (* x 1/4)))
-1/2
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* (sin x) (+ (* eps (* eps 1/6)) -1))
(sin x)
(+ (* eps (* eps 1/6)) -1)
(* eps (* eps 1/6))
(* eps 1/6)
1/6
-1

Outputs
(+ (* (* (sin x) (+ (* 1/6 (* eps eps)) -1)) eps) (* (* eps (* eps -1/2)) (cos x)))
(.f64 eps (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))))
(* (sin x) (+ (* 1/6 (* eps eps)) -1))
(.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))
(sin x)
(sin.f64 x)
x
(+ (* 1/6 (* eps eps)) -1)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
(* 1/6 (* eps eps))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
1/6
#s(literal 1/6 binary64)
(* eps eps)
(*.f64 eps eps)
eps
-1
#s(literal -1 binary64)
(* (* eps (* eps -1/2)) (cos x))
(.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(* eps (* eps -1/2))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(* eps -1/2)
(*.f64 eps #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(cos x)
(cos.f64 x)
(+ 1 -1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(* eps (- (* eps (+ -1/2 (* 1/6 (* eps x)))) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) eps)))) x))
eps
(- (* eps (+ -1/2 (* 1/6 (* eps x)))) x)
(-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 #s(literal 1/6 binary64) eps)))) x)
(* eps (+ -1/2 (* 1/6 (* eps x))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 #s(literal 1/6 binary64) eps))))
(+ -1/2 (* 1/6 (* eps x)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) eps)))
-1/2
#s(literal -1/2 binary64)
(* 1/6 (* eps x))
(.f64 x (.f64 #s(literal 1/6 binary64) eps))
1/6
#s(literal 1/6 binary64)
(* eps x)
(*.f64 x eps)
x
(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
(.f64 x (.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) #s(literal -1 binary64))))
x
(- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps)
(.f64 eps (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal -1 binary64)))
(* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))))
(.f64 (.f64 x (.f64 x eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(* x x)
(*.f64 x x)
(+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(* eps 1/6)
(*.f64 #s(literal 1/6 binary64) eps)
eps
1/6
#s(literal 1/6 binary64)
(* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x (*.f64 x eps)))
(* eps (+ -1/120 (* (* x x) 1/5040)))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(+ -1/120 (* (* x x) 1/5040))
(+.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))
-1/120
#s(literal -1/120 binary64)
(* (* x x) 1/5040)
(.f64 x (.f64 x #s(literal 1/5040 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* eps (+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))
eps
(+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))
(* eps (+ -1/2 (* x (* x 1/4))))
(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(+ -1/2 (* x (* x 1/4)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x (* x 1/4))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (sin x) (+ (* eps (* eps 1/6)) -1))
(.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))
(sin x)
(sin.f64 x)
(+ (* eps (* eps 1/6)) -1)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
(* eps (* eps 1/6))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* eps 1/6)
(*.f64 #s(literal 1/6 binary64) eps)
1/6
#s(literal 1/6 binary64)
-1
#s(literal -1 binary64)

localize308.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
✓	accuracy	99.8%	(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps x))))
✓	accuracy	99.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 eps x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(.f64 (.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))
✓	accuracy	100.0%	(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 eps eps))

Results

200.0ms

256×

valid

Compiler

Compiled 360 to 46 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 51.0ms (55.5% of total)

ival-add: 14.0ms (15.2% of total)

...c/correct-round.rkt:119:19: 14.0ms (15.2% of total)

ival-sin: 3.0ms (3.3% of total)

ival-sub: 3.0ms (3.3% of total)

compiled-spec: 3.0ms (3.3% of total)

ival-cos: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

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

series46.0ms (0.3%)

Counts

27 → 528

Calls

Call 1

Inputs
#<alt (+ (* (* (sin x) (+ (* 1/6 (* eps eps)) -1)) eps) (* (* eps (* eps -1/2)) (cos x)))>
#<alt (* (sin x) (+ (* 1/6 (* eps eps)) -1))>
#<alt (sin x)>
#<alt (+ (* 1/6 (* eps eps)) -1)>
#<alt (+ 1 -1)>
#<alt (* eps (- (* eps (+ -1/2 (* 1/6 (* eps x)))) x))>
#<alt (- (* eps (+ -1/2 (* 1/6 (* eps x)))) x)>
#<alt (* eps (+ -1/2 (* 1/6 (* eps x))))>
#<alt (+ -1/2 (* 1/6 (* eps x)))>
#<alt (* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))>
#<alt (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps)>
#<alt (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))))>
#<alt (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))>
#<alt (* eps (+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))>
#<alt (+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))>
#<alt (* eps (+ -1/2 (* x (* x 1/4))))>
#<alt (+ -1/2 (* x (* x 1/4)))>
#<alt (* 1/6 (* eps eps))>
#<alt (* (* eps (* eps -1/2)) (cos x))>
#<alt (cos x)>
#<alt (* 1/6 (* eps x))>
#<alt (* eps x)>
#<alt (* eps 1/6)>
#<alt (* (* x x) 1/5040)>
#<alt (* eps (+ -1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))>
#<alt (* eps (* eps 1/6))>

Outputs
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* x (- (* 1/6 (pow eps 2)) 1))>
#<alt (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt -1>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))>
#<alt (* -1 x)>
#<alt (- (* -1/2 eps) x)>
#<alt (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)>
#<alt (- (* eps (- (* 1/6 (* eps x)) 1/2)) x)>
#<alt (* 1/6 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
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#<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)))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* 1/6 (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* eps (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* -1/120 eps)>
#<alt (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))>
#<alt (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))>
#<alt (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))>
#<alt (* 1/5040 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* 1/5040 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* -1/120 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))>
#<alt (* 1/5040 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* 1/5040 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>

Calls

132 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(* (* eps (* eps -1/2)) (cos x))
6.0ms	eps	@	inf	(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
2.0ms	eps	@	0	(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
1.0ms	eps	@	-inf	(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
1.0ms	x	@	inf	(+ (* (* (sin x) (+ (* 1/6 (* eps eps)) -1)) eps) (* (* eps (* eps -1/2)) (cos x)))

rewrite490.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4462×	`-lowering-.f32`
4462×	`-lowering-.f64`
2626×	`/-lowering-/.f32`
2626×	`/-lowering-/.f64`
2094×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	267
1	273	252
2	2351	252
0	9033	252

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 525

Calls

Call 1

Inputs
(+ (* (* (sin x) (+ (* 1/6 (* eps eps)) -1)) eps) (* (* eps (* eps -1/2)) (cos x)))
(* (sin x) (+ (* 1/6 (* eps eps)) -1))
(sin x)
(+ (* 1/6 (* eps eps)) -1)
(+ 1 -1)
(* eps (- (* eps (+ -1/2 (* 1/6 (* eps x)))) x))
(- (* eps (+ -1/2 (* 1/6 (* eps x)))) x)
(* eps (+ -1/2 (* 1/6 (* eps x))))
(+ -1/2 (* 1/6 (* eps x)))
(* x (- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps))
(- (* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))) eps)
(* (* x x) (+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))))
(+ (* eps 1/6) (* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040)))))
(* eps (+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
(+ (* eps (+ -1/2 (* x (* x 1/4)))) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(* eps (+ -1/2 (* x (* x 1/4))))
(+ -1/2 (* x (* x 1/4)))
(* 1/6 (* eps eps))
(* (* eps (* eps -1/2)) (cos x))
(cos x)
(* 1/6 (* eps x))
(* eps x)
(* eps 1/6)
(* (* x x) 1/5040)
(* eps (+ -1/120 (* (* x x) 1/5040)))
(* (* x x) (* eps (+ -1/120 (* (* x x) 1/5040))))
(* eps (* eps 1/6))

Outputs
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) (.f64 eps (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 eps (.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 eps (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 eps (.f64 eps #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)))))
(fma.f64 (sin.f64 x) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 eps (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)))
(fma.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)))
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) (.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps))))) (+.f64 (pow.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 eps (-.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))))) (.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 eps (.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)))))))))
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(+.f64 (.f64 (.f64 x x) (.f64 eps #s(literal -1/120 binary64))) (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)))
(+.f64 (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x x)) (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))))
(/.f64 (.f64 (.f64 x (.f64 x eps)) (+.f64 #s(literal -1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x eps)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x eps)) (+.f64 #s(literal -1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x eps)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 eps #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 eps #s(literal -1/120 binary64))) (.f64 (.f64 x x) (.f64 eps #s(literal -1/120 binary64)))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 eps #s(literal -1/120 binary64))) (.f64 (.f64 x x) (.f64 eps (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) (.f64 (.f64 x (.f64 x eps)) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64)) (.f64 (.f64 x (.f64 x eps)) #s(literal -1/120 binary64))) (.f64 (.f64 (.f64 x (.f64 x eps)) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (.f64 x (*.f64 x eps)) #s(literal -1/120 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x x)) (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x x)) (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x x))) (.f64 (.f64 (.f64 eps #s(literal -1/120 binary64)) (.f64 x x)) (.f64 (.f64 eps (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps)))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps)))) (.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (*.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps)))) (-.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps))) (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x eps)))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x eps))) (.f64 #s(literal -1/120 binary64) (.f64 x (*.f64 x eps)))))))
(.f64 x (.f64 (.f64 x eps) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (*.f64 x x)))
(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (*.f64 x eps)))
(.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x x))
(.f64 (.f64 x (.f64 x eps)) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 (.f64 (.f64 x eps) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) x)
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) eps)
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 1/6 binary64) eps))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)

simplify369.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5436×	`-lowering-.f32`
5436×	`-lowering-.f64`
2980×	`+-lowering-+.f64`
2980×	`+-lowering-+.f32`
1370×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	5975
1	1410	5693
2	5072	5444
0	8614	5444

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

Outputs
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(+.f64 (.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x)) (.f64 x (.f64 x (.f64 eps (+.f64 (.f64 x (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (.f64 eps #s(literal 1/4 binary64)))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(* -1 (* eps (sin x)))
(*.f64 eps (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 eps (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x)))))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (.f64 eps eps) (.f64 eps (.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (.f64 eps eps) (.f64 eps (.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))))
(* x (- (* 1/6 (pow eps 2)) 1))
(.f64 x (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))
(.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))) #s(literal -1 binary64))))
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))
(.f64 x (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* -1 (sin x))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(.f64 (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(* 1/6 (* (pow eps 2) (sin x)))
(.f64 eps (.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
(* 1/6 (* (pow eps 2) (sin x)))
(.f64 eps (.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 (.f64 eps eps) (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow eps 2)) 1)
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow eps 2)) 1)
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* 1/6 (pow eps 2)) 1)
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(* 1/6 (* (pow eps 3) x))
(.f64 eps (.f64 eps (.f64 x (.f64 eps #s(literal 1/6 binary64)))))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(* 1/6 (* (pow eps 3) x))
(.f64 eps (.f64 eps (.f64 x (.f64 eps #s(literal 1/6 binary64)))))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(.f64 (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(.f64 (+.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps)) (-.f64 #s(literal 0 binary64) (.f64 eps (.f64 eps eps))))
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 eps #s(literal 1/6 binary64))))) x))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))
(.f64 eps (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(* -1 x)
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(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
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(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64)))) (.f64 (.f64 x x) (.f64 x x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.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)
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
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(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* 1/6 (* eps x))
(.f64 x (.f64 eps #s(literal 1/6 binary64)))
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
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(* eps x)
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(* eps x)
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(* eps x)
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(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
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(* eps x)
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(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
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(* eps x)
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(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* eps (- (* 1/5040 (pow x 2)) 1/120))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* -1/120 eps)
(*.f64 eps #s(literal -1/120 binary64))
(+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (* eps (pow x 2)))
(.f64 eps (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* 1/5040 (* eps (pow x 2)))
(.f64 eps (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))
(* -1/120 (* eps (pow x 2)))
(.f64 (.f64 eps (*.f64 x x)) #s(literal -1/120 binary64))
(* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (* eps (pow x 4)))
(.f64 (.f64 x x) (.f64 eps (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* 1/5040 (* eps (pow x 4)))
(.f64 (.f64 x x) (.f64 eps (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (.f64 x x)))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* eps (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))
(.f64 x (.f64 x (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))

eval143.0ms (0.8%)

Compiler: Compiled 42842 to 2724 computations (93.6% saved)

prune158.0ms (0.9%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1059	21	1080
Fresh	6	20	26
Picked	4	1	5
Done	0	2	2
Total	1069	44	1113

Accuracy

100.0%

Counts

1113 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	78.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	53.5%	(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
	98.3%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
▶	99.8%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
	96.8%	(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	51.0%	(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x)))))
	29.7%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))
	28.3%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))) eps)))
	75.5%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
	53.5%	(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
	11.4%	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
	79.5%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	79.9%	(*.f64 (sin.f64 x) (neg.f64 eps))
	29.3%	(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
	78.7%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
▶	78.9%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
	78.7%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
	96.8%	(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
	78.9%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
	78.7%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
	98.4%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
✓	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
	99.6%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	96.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	98.2%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	98.1%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.7%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.4%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.3%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	99.8%	(.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)))))
▶	98.7%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.3%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
	96.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
	93.9%	(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
▶	96.7%	(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
	55.0%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	53.2%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
▶	53.4%	#s(literal 0 binary64)

Compiler

Compiled 1813 to 1133 computations (37.5% saved)

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps)
✓	cost-diff	0	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
✓	cost-diff	0	(.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	cost-diff	128	(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
2754×	`+-lowering-+.f64`
2754×	`+-lowering-+.f32`
1980×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	310
1	128	295
2	434	294
3	1356	292
4	3923	286
5	6633	285
0	8660	285

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* 1/6 (* eps eps)) -1) (* (sin x) eps)) (* (* eps eps) (* -1/2 (cos x))))
(* (+ (* 1/6 (* eps eps)) -1) (* (sin x) eps))
(+ (* 1/6 (* eps eps)) -1)
(* 1/6 (* eps eps))
1/6
(* eps eps)
eps
-1
(* (sin x) eps)
(sin x)
x
(* (* eps eps) (* -1/2 (cos x)))
(* -1/2 (cos x))
-1/2
(cos x)
0
(* eps (* x (+ -1 (* eps (+ (* eps 1/6) (/ -1/2 x))))))
eps
(* x (+ -1 (* eps (+ (* eps 1/6) (/ -1/2 x)))))
x
(+ -1 (* eps (+ (* eps 1/6) (/ -1/2 x))))
-1
(* eps (+ (* eps 1/6) (/ -1/2 x)))
(+ (* eps 1/6) (/ -1/2 x))
(* eps 1/6)
1/6
(/ -1/2 x)
-1/2
(* x (- (* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) eps))
x
(- (* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) eps)
(* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))
(* x x)
(* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))
eps
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(+ -1/120 (* (* x x) 1/5040))
-1/120
(* (* x x) 1/5040)
1/5040
(* eps (+ (* eps -1/2) (* (sin x) (+ (* eps (* eps 1/6)) -1))))
eps
(+ (* eps -1/2) (* (sin x) (+ (* eps (* eps 1/6)) -1)))
(* eps -1/2)
-1/2
(* (sin x) (+ (* eps (* eps 1/6)) -1))
(sin x)
x
(+ (* eps (* eps 1/6)) -1)
(* eps (* eps 1/6))
(* eps 1/6)
1/6
-1

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

localize182.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	accuracy	99.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.6%	(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
✓	accuracy	99.8%	(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
✓	accuracy	99.6%	(.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
✓	accuracy	100.0%	(*.f64 (sin.f64 x) eps)
✓	accuracy	99.8%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 eps eps))

Results

116.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 330 to 41 computations (87.6% saved)

Precisions

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

ival-mult: 38.0ms (56.3% of total)

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

ival-add: 10.0ms (14.8% of total)

ival-sin: 3.0ms (4.4% of total)

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

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

const: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

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

series23.0ms (0.1%)

Counts

23 → 456

Calls

Call 1

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

Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))))))))>
#<alt (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* (pow x 2) (+ (* -1/5040 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* 1/120 (* eps (- (* 1/6 (pow eps 2)) 1)))))))))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt -1>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1/2 eps)))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* x (- (* 1/6 (pow eps 2)) 1))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (* 1/6 (pow eps 2)) 1))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1/2 eps))>
#<alt (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))>
#<alt (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))>
#<alt (* 1/6 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))>
#<alt -1>
#<alt (- (* -1/2 (/ eps x)) 1)>
#<alt (- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)>
#<alt (- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))>
#<alt (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))>
#<alt (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))>
#<alt (* -1/2 (/ eps x))>
#<alt (/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)>
#<alt (/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)>
#<alt (/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)>
#<alt (* -1/2 (/ eps x))>
#<alt (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))>
#<alt (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))>
#<alt (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))>
#<alt (* -1/2 (/ eps x))>
#<alt (/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)>
#<alt (/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)>
#<alt (/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)>
#<alt (* 1/6 (pow eps 2))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (* 1/6 (pow eps 2))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))>
#<alt (* 1/5040 (* eps (pow x 7)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 7) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))>
#<alt (* 1/5040 (* eps (pow x 7)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (+ (* 1/120 (/ eps (pow x 2))) (/ eps (pow x 6)))))))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))>
#<alt (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))>
#<alt (* -1 eps)>
#<alt (- (* 1/6 (* eps (pow x 2))) eps)>
#<alt (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)>
#<alt (- (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))) eps)>
#<alt (* 1/5040 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))>
#<alt (* 1/5040 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))>
#<alt (* 1/6 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))>
#<alt (* 1/5040 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* 1/5040 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 eps)))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 3) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (sin x) eps)) 1/2) eps)) (* -1/6 (sin x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (sin x) eps)) 1/2) eps)) (* -1/6 (sin x)))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* eps (- (* 1/6 (pow eps 2)) 1)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* -1/2 eps))>
#<alt (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2)))>
#<alt (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2)))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ (sin x) eps)) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ (sin x) eps)) eps)) (* 1/6 (sin x))))>
#<alt (* -1/2 eps)>
#<alt (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1)))>
#<alt (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<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 (* x (- (* 1/6 (pow eps 2)) 1))>
#<alt (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))>
#<alt (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (sin x) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* 1/6 (* (pow eps 2) (sin x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))>
#<alt (* eps x)>
#<alt (* x (+ eps (* -1/6 (* eps (pow x 2)))))>
#<alt (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))>
#<alt (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* eps (sin x))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (pow eps 2))>
#<alt (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))>
#<alt (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* -1/2 (* (pow eps 2) (cos x)))>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* 1/6 eps)>
#<alt (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))>
#<alt (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))>
#<alt (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))>
#<alt (* 1/5040 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* 1/5040 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(* x (- (* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) eps))
1.0ms	x	@	-inf	(* eps (* x (+ -1 (* eps (+ (* eps 1/6) (/ -1/2 x))))))
1.0ms	eps	@	0	(* x (- (* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) eps))
1.0ms	eps	@	-inf	(* x (- (* (* x x) (* eps (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))) eps))
1.0ms	x	@	0	(* eps (* x (+ -1 (* eps (+ (* eps 1/6) (/ -1/2 x))))))

rewrite349.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

4192×	`-lowering-.f32`
4192×	`-lowering-.f64`
2630×	`/-lowering-/.f32`
2630×	`/-lowering-/.f64`
2364×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	238
1	250	226
2	2257	226
0	9249	226

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 542

Calls

Call 1

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

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

simplify257.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

5824×	`-lowering-.f32`
5824×	`-lowering-.f64`
2822×	`+-lowering-+.f64`
2822×	`+-lowering-+.f32`
1928×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	5389
1	1332	5212
2	4900	4948
0	8563	4948

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* -1/2 (pow eps 2))
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(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
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(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* 1/6 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))))))))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* (pow x 2) (+ (* -1/5040 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* 1/120 (* eps (- (* 1/6 (pow eps 2)) 1)))))))))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
-1
(- (* 1/6 (pow eps 2)) 1)
(- (* 1/6 (pow eps 2)) 1)
(- (* 1/6 (pow eps 2)) 1)
(* 1/6 (pow eps 2))
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(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))
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(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* 1/6 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1/2 (pow eps 2))
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(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))
(* -1/2 eps)
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(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (* 1/6 (pow eps 2)) 1))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(* -1 x)
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
-1
(- (* -1/2 (/ eps x)) 1)
(- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)
(- (* eps (- (* 1/6 eps) (* 1/2 (/ 1 x)))) 1)
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* 1/2 (/ 1 x)) (/ 1 eps)) eps))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))
(* (pow eps 2) (+ 1/6 (* -1 (/ (+ (/ 1 eps) (* 1/2 (/ 1 x))) eps))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(/ (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1))) x)
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1)
(* -1/2 (/ eps x))
(* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* eps (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* (pow eps 2) (- 1/6 (* 1/2 (/ 1 (* eps x)))))
(* -1/2 (/ eps x))
(/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)
(/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)
(/ (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x))) x)
(* 1/6 (pow eps 2))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(* 1/6 (pow eps 2))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2)))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* 1/5040 (* eps (pow x 7)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 7) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 7) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))
(* 1/5040 (* eps (pow x 7)))
(* -1 (* (pow x 7) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (* 1/120 (/ eps (pow x 2)))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ eps (pow x 4))) (+ (* -1/5040 eps) (+ (* 1/120 (/ eps (pow x 2))) (/ eps (pow x 6)))))))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* eps (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))
(* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))))))
(* -1 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)
(- (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))) eps)
(* 1/5040 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))
(* 1/5040 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1 (/ eps (pow x 6))) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4)))))))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* eps (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))
(* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))
(* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))
(* 1/5040 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* 1/5040 (* eps (pow x 6)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 eps)))
(* eps (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2))))
(* eps (+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (sin x) eps)) 1/2) eps)) (* -1/6 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ (sin x) eps)) 1/2) eps)) (* -1/6 (sin x)))))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 eps))
(+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2)))
(+ (* -1 (sin x)) (* eps (- (* 1/6 (* eps (sin x))) 1/2)))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (- (* 1/6 (sin x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* -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)
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/120 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))))) 1))
(* x (- (+ (* 1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (- (* 1/6 (pow eps 2)) 1))))))) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* (sin x) (- (* 1/6 (pow eps 2)) 1))
(* -1 (sin x))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(* eps x)
(* x (+ eps (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* eps (sin x))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* -1/2 (* (pow eps 2) (cos x)))
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* 1/6 eps)
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))
(+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))
(+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))
(* 1/5040 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* 1/5040 (* eps (pow x 4)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* 1/5040 (pow x 4))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))

Outputs
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)))
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 x (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 eps #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(+ (* -1/2 (* (pow eps 2) (cos x))) (* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))))
(* -1 (* eps (sin x)))
(-.f64 #s(literal 0 binary64) (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (* 1/6 (sin x))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (/ (sin x) (pow eps 2)))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (*.f64 eps eps)))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))
(* x (+ (* -1/6 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* eps (- (* 1/6 (pow eps 2)) 1))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/120 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1))))))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow x 2) (+ (* -1/6 (* eps (- (* 1/6 (pow eps 2)) 1))) (* (pow x 2) (+ (* -1/5040 (* eps (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))) (* 1/120 (* eps (- (* 1/6 (pow eps 2)) 1)))))))))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 x (.f64 x (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))) (.f64 x (.f64 x (+.f64 (.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (.f64 x x)) (.f64 eps #s(literal -1/5040 binary64))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))))))))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
(* eps (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(.f64 (.f64 eps (sin.f64 x)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))))
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(* 1/5040 (* eps (pow x 6)))
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(* 1/6 (* eps (pow x 2)))
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(* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))
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(* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))
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(* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))
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(* 1/5040 (* eps (pow x 6)))
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(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
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(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
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(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
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(* 1/5040 (* eps (pow x 6)))
(.f64 eps (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (.f64 eps #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
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(* (pow x 6) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
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(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
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(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
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(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
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(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
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(* eps (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
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(.f64 (.f64 eps eps) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) (.f64 eps eps))))
(* eps x)
(*.f64 eps x)
(* x (+ eps (* -1/6 (* eps (pow x 2)))))
(.f64 x (+.f64 eps (.f64 eps (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(.f64 x (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 eps (*.f64 x x)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(.f64 x (+.f64 eps (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal -1/6 binary64)) (.f64 x (.f64 x (+.f64 (.f64 eps (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 eps #s(literal 1/120 binary64)))))))))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* eps (sin x))
(*.f64 eps (sin.f64 x))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (pow eps 2))
(.f64 #s(literal -1/2 binary64) (.f64 eps eps))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (.f64 x (+.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 (.f64 eps (.f64 eps (.f64 x x))) #s(literal 1/1440 binary64))))))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 eps (cos.f64 x))))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* eps (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))
(+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps (.f64 (.f64 x x) #s(literal -1/120 binary64))))
(+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2))))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (* eps (pow x 4)))
(.f64 x (.f64 x (.f64 (.f64 eps (*.f64 x x)) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (.f64 eps #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/5040 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/5040 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* 1/5040 (* eps (pow x 4)))
(.f64 x (.f64 x (.f64 (.f64 eps (*.f64 x x)) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (* 1/5040 eps)))
(.f64 (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (.f64 eps #s(literal 1/5040 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/5040 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 4) (+ (* -1/120 (/ eps (pow x 2))) (+ (* 1/5040 eps) (* 1/6 (/ eps (pow x 4))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 eps #s(literal 1/5040 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (/.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/120 binary64))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(* 1/6 (pow eps 2))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))

eval111.0ms (0.6%)

Compiler: Compiled 34376 to 2696 computations (92.2% saved)

prune155.0ms (0.9%)

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1041	11	1052
Fresh	6	30	36
Picked	1	4	5
Done	0	3	3
Total	1048	48	1096

Accuracy

100.0%

Counts

1096 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	78.3%	(-.f64 #s(literal 0 binary64) (*.f64 eps x))
	99.6%	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
	53.5%	(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
	98.3%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
✓	99.8%	(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
	96.8%	(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
	97.3%	(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
	96.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
	99.6%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
	78.7%	(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
	96.8%	(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
	29.7%	(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))
	53.5%	(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
	11.4%	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
	79.5%	(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
	79.9%	(*.f64 (sin.f64 x) (neg.f64 eps))
	78.9%	(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
	78.7%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
✓	78.9%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
	78.7%	(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
	96.8%	(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
	78.9%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
	78.7%	(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
	98.4%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
✓	96.8%	(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
	99.6%	(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
	98.7%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
	96.8%	(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
	98.2%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	98.1%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.7%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.4%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.3%	(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
✓	99.8%	(.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)))))
✓	98.7%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
	97.3%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
	97.6%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
	96.8%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
	97.3%	(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
	93.9%	(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
	55.0%	(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
	96.7%	(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
	55.0%	(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
	53.2%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	53.4%	#s(literal 0 binary64)

Compiler

Compiled 2240 to 980 computations (56.3% saved)

regimes57.0ms (0.3%)

Counts

69 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))) eps)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.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 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes53.0ms (0.3%)

Counts

68 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))) eps)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.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 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (.f64 eps (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (sin.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)))))

Outputs
(.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)))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Counts

63 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))) eps)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 eps (sin.f64 x))) (.f64 (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(.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))

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

Calls

3 calls:

16.0ms	x
15.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes48.0ms (0.3%)

Counts

60 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64)) (.f64 (sin.f64 x) eps)) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 eps eps)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 x x))) eps)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 eps #s(literal 1/4 binary64)) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64))))))))) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 x (sin.f64 eps)))

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

Calls

3 calls:

16.0ms	x
15.0ms	eps
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`eps`
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
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(+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (.f64 x (+.f64 (.f64 x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 #s(literal 0 binary64) (.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 x eps)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (sin.f64 x)))

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

Calls

2 calls:

12.0ms	x
12.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))))))) (.f64 x (.f64 x x))) eps) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))))) (.f64 x (+.f64 x (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x eps))))))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) eps))

Outputs

(*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))

Calls

2 calls:

11.0ms	x
11.0ms	eps

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))

Outputs

(*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (*.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))

Calls

2 calls:

11.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`eps`
97.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts

39 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))

Outputs

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

Calls

2 calls:

14.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 eps (+.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)))))))) eps))
(.f64 x (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 eps (*.f64 x x))))) eps))

Outputs

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

Calls

2 calls:

9.0ms	eps
9.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.1%)

Counts

34 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 x (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) eps))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (-.f64 #s(literal 0 binary64) 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))) (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))

Outputs

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

Calls

2 calls:

13.0ms	x
9.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 0 binary64) eps))

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

Calls

2 calls:

8.0ms	x
7.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 eps x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(.f64 eps (.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(.f64 (.f64 eps eps) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(.f64 x (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps #s(literal 1/6 binary64))) eps))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 eps (+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps #s(literal 1/6 binary64))))) (*.f64 eps #s(literal -1/2 binary64))))
(.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x))))) x)
(.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 eps x))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (.f64 (.f64 eps eps) (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 x (-.f64 (.f64 (.f64 x x) (.f64 eps (+.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)))) eps))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x eps)) eps)))
(+.f64 (.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) eps) (*.f64 (-.f64 #s(literal 0 binary64) x) eps))

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

Calls

2 calls:

10.0ms	eps
7.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
78.3%	1	`x`
78.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
55.0%	1	`x`
55.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-3.2%)

Threshold costs -0.9b (-3.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
53.4%	1	`eps`
53.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

126×	`*-commutative_binary64`
70×	`+-commutative_binary64`
18×	`sub-neg_binary64`
8×	`neg-mul-1_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	320
1	213	320
2	225	320
3	234	320
4	238	320
5	239	320

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (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)))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

Outputs
(fma.f64 (.f64 (sin.f64 x) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1 binary64))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) eps (.f64 (.f64 eps (.f64 eps #s(literal -1/2 binary64))) (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)))))
(.f64 eps (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) eps))))))
(.f64 eps (-.f64 (.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 (.f64 eps (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 #s(literal 1/6 binary64) eps))))))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) (sin.f64 x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x))) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps #s(literal 1/6 binary64))))))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 x #s(literal 1/4 binary64)))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) eps))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 (.f64 eps (.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(.f64 eps (+.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 eps (.f64 #s(literal 1/6 binary64) eps))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))))
(.f64 x (+.f64 (.f64 eps (+.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) x)))
(.f64 x (+.f64 (.f64 eps (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (/.f64 (.f64 (.f64 eps 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 eps (+.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 #s(literal 1/4 binary64) x)))))))
(.f64 eps (+.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 x #s(literal 1/4 binary64))))))))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 eps #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/6 binary64)))))) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))) x))
(.f64 eps (-.f64 (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x eps)))) x))
(.f64 eps (-.f64 (.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (-.f64 #s(literal 0 binary64) eps))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(.f64 eps (.f64 eps #s(literal -1/2 binary64)))
#s(literal 0 binary64)

soundness2.0s (11.3%)

Rules

5824×	`-lowering-.f32`
5824×	`-lowering-.f64`
5436×	`-lowering-.f32`
5436×	`-lowering-.f64`
4924×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	5975
1	1410	5693
2	5072	5444
0	8614	5444
0	105	481
1	304	464
2	776	463
3	2952	463
0	8504	463
0	47	267
1	273	252
2	2351	252
0	9033	252
0	375	5389
1	1332	5212
2	4900	4948
0	8563	4948
0	314	2583
1	1037	2487
2	3326	2434
0	8069	2434
0	30	112
1	174	110
2	1666	109
0	9684	109

Stop Event

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

Compiler

Compiled 832 to 473 computations (43.1% saved)

preprocess81.0ms (0.5%)

Compiler: Compiled 694 to 246 computations (64.6% saved)

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

Iter	Nodes	Cost
0	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

analyze89.0ms (0.5%)

sample9.2s (52.8%)

preprocess50.0ms (0.3%)

explain248.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize119.0ms (0.7%)

series8.0ms (0%)

rewrite297.0ms (1.7%)

simplify175.0ms (1%)

eval30.0ms (0.2%)

prune33.0ms (0.2%)

simplify153.0ms (0.9%)

localize412.0ms (2.4%)

series145.0ms (0.8%)

rewrite449.0ms (2.6%)

simplify325.0ms (1.9%)

eval87.0ms (0.5%)

prune122.0ms (0.7%)

simplify198.0ms (1.1%)

localize308.0ms (1.8%)

series46.0ms (0.3%)

rewrite490.0ms (2.8%)

simplify369.0ms (2.1%)

eval143.0ms (0.8%)

prune158.0ms (0.9%)

simplify194.0ms (1.1%)

localize182.0ms (1%)

series23.0ms (0.1%)

rewrite349.0ms (2%)

simplify257.0ms (1.5%)

eval111.0ms (0.6%)

prune155.0ms (0.9%)

regimes57.0ms (0.3%)

regimes53.0ms (0.3%)

regimes50.0ms (0.3%)

regimes48.0ms (0.3%)

regimes30.0ms (0.2%)

regimes27.0ms (0.2%)

regimes25.0ms (0.1%)

regimes27.0ms (0.2%)

regimes22.0ms (0.1%)

regimes24.0ms (0.1%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0%)

regimes5.0ms (0%)

regimes8.0ms (0%)

regimes4.0ms (0%)

simplify15.0ms (0.1%)

soundness2.0s (11.3%)

preprocess81.0ms (0.5%)

end0.0ms (0%)

Profiling

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