Metrics for 2sin (example 3.3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze48.0ms (0.5%)

Memory

-23.4MiB live, 69.2MiB allocated; 14ms collecting garbage

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%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.8s (65.1%)

Memory

-128.7MiB live, 7 399.8MiB allocated; 2.9s collecting garbage

Samples

3.3s	26 412×	0	invalid
1.0s	5 156×	1	valid
298.0ms	3 100×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-sin: 642.0ms (19.9% of total)

const: 638.0ms (19.8% of total)

ival-<=: 346.0ms (10.8% of total)

ival-add: 289.0ms (9% of total)

ival-fabs: 256.0ms (8% of total)

ival-<: 250.0ms (7.8% of total)

ival-mult: 249.0ms (7.7% of total)

ival-sub: 200.0ms (6.2% of total)

adjust: 190.0ms (5.9% of total)

ival-and: 102.0ms (3.2% of total)

exact: 43.0ms (1.3% of total)

ival-assert: 13.0ms (0.4% of total)

Bogosity

explain110.0ms (1.1%)

Memory

23.9MiB live, 256.7MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
226	-	3	(-1.0580856753629592e-52 2.176309150121788e-54)	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
3	-	0	-	`(sin.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`	cancellation	223	8
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	3	1

Confusion

	Predicted +	Predicted -
+	223	3
-	0	30

Precision

1.0

Recall

0.9867256637168141

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	223	3	0
-	0	5	25

Precision?

0.9783549783549783

Recall?

1.0

Freqs

test

number	freq
0	33
1	220
2	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

46.0ms	332×	1	valid
9.0ms	174×	0	valid
6.0ms	4×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 17.0ms (41.6% of total)

adjust: 15.0ms (36.7% of total)

ival-add: 4.0ms (9.8% of total)

ival-sub: 4.0ms (9.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess90.0ms (0.9%)

Memory

-16.2MiB live, 29.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	22	43
2	29	43
3	37	43
4	50	43
5	78	43
6	137	43
7	382	43
8	1447	43
9	5227	43
0	6	7
0	10	7
1	11	7
0	11	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (1.5%)

Memory

13.2MiB live, 241.4MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	303
1	366	303
2	1254	296
3	4271	296
0	8150	267

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite206.0ms (2%)

Memory

-28.8MiB live, 272.0MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	51	18
2	365	18
3	4478	18
0	8242	18

Stop Event

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

Counts

6 → 160

Calls

Call 1

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

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

eval24.0ms (0.2%)

Memory: 29.2MiB live, 76.1MiB allocated; 1ms collecting garbage
Compiler: Compiled 5 661 to 740 computations (86.9% saved)

prune9.0ms (0.1%)

Memory

-16.0MiB live, 29.9MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	178	6	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	7	185

Accuracy

100.0%

Counts

185 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.9%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
▶	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 225 to 162 computations (28% saved)

series37.0ms (0.4%)

Memory

-7.8MiB live, 92.3MiB allocated; 6ms collecting garbage

Counts

33 → 134

Calls

Call 1

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

Outputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* 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)))))))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ eps (* 2 x))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* eps (sin x))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (+ eps (* 2 x))))
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(* 2 x)
(* x (+ 2 (/ eps x)))
(- (sin (- eps (* -1 x))) (sin x))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- eps (* -2 x))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(pow eps 2)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (+ 1 (* 2 (/ x eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (sin x) x (+ (* (* eps eps) 1/24) -1/2) (* eps eps) eps 1/24 -1/2 (* (* (cos x) eps) -1/6) (* (cos x) eps) (cos x) -1/6 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (/ (+ 0 eps) 2) (+ 0 eps) 0 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
7.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (sin x) x (+ (* (* eps eps) 1/24) -1/2) (* eps eps) eps 1/24 -1/2 (* (* (cos x) eps) -1/6) (* (cos x) eps) (cos x) -1/6 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (/ (+ 0 eps) 2) (+ 0 eps) 0 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
7.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (sin x) x (+ (* (* eps eps) 1/24) -1/2) (* eps eps) eps 1/24 -1/2 (* (* (cos x) eps) -1/6) (* (cos x) eps) (cos x) -1/6 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (/ (+ 0 eps) 2) (+ 0 eps) 0 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
6.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (sin x) x (+ (* (* eps eps) 1/24) -1/2) (* eps eps) eps 1/24 -1/2 (* (* (cos x) eps) -1/6) (* (cos x) eps) (cos x) -1/6 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (/ (+ 0 eps) 2) (+ 0 eps) 0 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
4.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (sin x) x (+ (* (* eps eps) 1/24) -1/2) (* eps eps) eps 1/24 -1/2 (* (* (cos x) eps) -1/6) (* (cos x) eps) (cos x) -1/6 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (/ (+ 0 eps) 2) (+ 0 eps) 0 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)

simplify217.0ms (2.1%)

Memory

18.0MiB live, 199.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	1928
1	1787	1858
2	7009	1849
0	8438	1667

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 132

Calls

Call 1

Inputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* 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)))))))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ eps (* 2 x))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* eps (sin x))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (+ eps (* 2 x))))
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(* 2 x)
(* x (+ 2 (/ eps x)))
(- (sin (- eps (* -1 x))) (sin x))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- eps (* -2 x))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(pow eps 2)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (+ 1 (* 2 (/ x eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))

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

rewrite94.0ms (0.9%)

Memory

29.1MiB live, 119.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	234
0	63	224
1	237	224
0	2188	224

Stop Event

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

Counts

33 → 351

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) eps)
(.f64 eps (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64))) eps) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps (cos.f64 x))) (neg.f64 eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x))) (*.f64 eps eps))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) (*.f64 eps (neg.f64 eps))) (neg.f64 eps))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) (cos.f64 x)))
(/.f64 (.f64 eps (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 eps (neg.f64 eps))) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) (cos.f64 x)) (neg.f64 eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) (cos.f64 x)) (*.f64 eps eps)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64))) (.f64 eps (neg.f64 eps))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64))) (neg.f64 eps)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64))) (*.f64 eps eps)))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) (cos.f64 x))))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64)))) (.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 eps eps) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps))) eps) (cos.f64 x))))
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(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64))
(/.f64 (neg.f64 eps) #s(literal -2 binary64))
(/.f64 (.f64 eps (neg.f64 eps)) (.f64 (neg.f64 eps) #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (.f64 eps eps) #s(literal 2 binary64)))
(/.f64 eps #s(literal 2 binary64))
(neg.f64 (/.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 eps #s(literal 2 binary64)))
eps
#s(literal 0 binary64)
#s(literal 2 binary64)
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64)))
(-.f64 (.f64 (cos.f64 (.f64 x #s(literal -1 binary64))) (cos.f64 (/.f64 eps #s(literal -2 binary64)))) (.f64 (sin.f64 (.f64 x #s(literal -1 binary64))) (sin.f64 (/.f64 eps #s(literal -2 binary64)))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (/.f64 eps #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64)))) (-.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 eps #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64))) (.f64 (.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) eps)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64)))
(fma.f64 x #s(literal -1 binary64) (/.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x)) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) eps)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (+.f64 eps x) x)
(+.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
#s(literal -2 binary64)

eval163.0ms (1.6%)

Memory: -52.8MiB live, 228.5MiB allocated; 43ms collecting garbage
Compiler: Compiled 17 592 to 2 359 computations (86.6% saved)

prune28.0ms (0.3%)

Memory

-10.4MiB live, 82.9MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	531	19	550
Fresh	0	1	1
Picked	2	3	5
Done	1	0	1
Total	534	23	557

Accuracy

100.0%

Counts

557 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
	99.9%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
	99.7%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
▶	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
	31.8%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
	31.5%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
▶	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 159 to 785 computations (32.3% saved)

series89.0ms (0.9%)

Memory

-6.6MiB live, 90.8MiB allocated; 11ms collecting garbage

Counts

45 → 198

Calls

Call 1

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

Outputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ eps (* -1/6 (pow eps 3)))
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/6 (pow eps 2))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ eps x)
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))
(- (* 1/12 (pow eps 2)) 1/2)
(- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)
(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* x (- (* 1/24 (pow eps 2)) 1/2))
(* eps (sin (* 1/2 (PI))))
(+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 x) (* 1/2 (PI)))
(* -1 x)
(- (sin (+ eps x)) (sin x))
(+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* x (- (* -1/2 (/ eps x)) 1/2))
(* x (+ 1 (/ eps x)))
(* eps (+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 (/ (pow eps 2) x)) (+ (/ 1 (pow x 3)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* eps (sin (- (* 1/2 (PI)) x)))
(sin (- (* 1/2 (PI)) x))
(* x (- (* 1/2 (/ (PI) x)) 1))
(- (sin (- eps (* -1 x))) (sin x))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (sin (+ (* -1 x) (* 1/2 (PI)))))
(sin (+ (* -1 x) (* 1/2 (PI))))
(* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(pow eps 2)
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (+ (* 1/12 (pow x 2)) (* eps (* x (+ 1/24 (* -1/144 (pow x 2)))))) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2))))))) 1/2)))
(- (* 1/12 (* eps x)) 1/2)
(- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)
(- (* eps (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))) 1/2)
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x))))
(+ (* -1/2 x) (* 1/24 (* (pow eps 2) x)))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (- (* -1/2 (/ x eps)) 1/2))
(* eps (+ 1 (/ x eps)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* (pow eps 3) (* x (+ 1/24 (* -1/144 (pow x 2)))))
(* (pow eps 3) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (+ (/ 1 (pow eps 3)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (+ 1/24 (* -1/144 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))
(* -1/144 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))
(* (pow eps 3) (- (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/24 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))
(* 1/24 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))
(* 1/12 (pow eps 2))
(* (pow eps 2) (- 1/12 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (* x (- (* 1/144 (pow x 2)) 1/24))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (- (* 1/144 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1/12 (/ x eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/12 (pow x 2))) eps)) (* 1/12 x)) eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)) eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/144 x) (* 1/12 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* 1/12 (/ x eps))) eps)) (* 1/144 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/144 x))))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/2 (/ x (pow eps 2))))))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) 1/24 (* eps eps) eps -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (+ eps x) -1/2) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) x) (+ (* (* eps eps) -1/6) 1)) (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) (* (+ (* 1/24 (* eps eps)) -1/2) x) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* 1/24 (* eps eps)) -1/2) eps) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2)
20.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) 1/24 (* eps eps) eps -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (+ eps x) -1/2) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) x) (+ (* (* eps eps) -1/6) 1)) (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) (* (+ (* 1/24 (* eps eps)) -1/2) x) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* 1/24 (* eps eps)) -1/2) eps) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2)
6.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) 1/24 (* eps eps) eps -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (+ eps x) -1/2) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) x) (+ (* (* eps eps) -1/6) 1)) (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) (* (+ (* 1/24 (* eps eps)) -1/2) x) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* 1/24 (* eps eps)) -1/2) eps) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2)
6.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) 1/24 (* eps eps) eps -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (+ eps x) -1/2) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) x) (+ (* (* eps eps) -1/6) 1)) (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) (* (+ (* 1/24 (* eps eps)) -1/2) x) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* 1/24 (* eps eps)) -1/2) eps) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2)
5.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) 1/24 (* eps eps) eps -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (+ eps x) -1/2) (+ eps x) (- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) eps) (+ (* (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (+ (* (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) x) (+ (* (* eps eps) -1/6) 1)) (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) (* (+ (* 1/24 (* eps eps)) -1/2) x) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* 1/24 (* eps eps)) -1/2) eps) (+ (* (* eps eps) -1/6) 1) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2)

simplify210.0ms (2%)

Memory

18.8MiB live, 149.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	3362
1	2476	3311
0	8960	2972

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 196

Calls

Call 1

Inputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ eps (* -1/6 (pow eps 3)))
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/6 (pow eps 2))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ eps x)
(* eps (+ 1 (* -1/6 (pow eps 2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)))
(- (* 1/12 (pow eps 2)) 1/2)
(- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2)
(* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))
(* x (- (* 1/24 (pow eps 2)) 1/2))
(* eps (sin (* 1/2 (PI))))
(+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 x) (* 1/2 (PI)))
(* -1 x)
(- (sin (+ eps x)) (sin x))
(+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* x (- (* -1/2 (/ eps x)) 1/2))
(* x (+ 1 (/ eps x)))
(* eps (+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ (cos x) (* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1/6 (* eps (* (pow x 3) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* -1/6 (/ (pow eps 2) (pow x 3))) (+ (* 1/12 (/ (pow eps 2) x)) (+ (/ 1 (pow x 3)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (* 1/12 (/ (pow eps 2) x)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (- (+ (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 (/ (pow eps 2) x))) (* 1/2 (/ 1 x))))
(* eps (sin (- (* 1/2 (PI)) x)))
(sin (- (* 1/2 (PI)) x))
(* x (- (* 1/2 (/ (PI) x)) 1))
(- (sin (- eps (* -1 x))) (sin x))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* x (+ (* -1 (/ (- (* 1/12 (pow eps 2)) 1/2) x)) (* 1/6 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (sin (+ (* -1 x) (* 1/2 (PI)))))
(sin (+ (* -1 x) (* 1/2 (PI))))
(* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
-1/2
(- (* 1/24 (pow eps 2)) 1/2)
(pow eps 2)
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* eps (- (+ (* 1/12 (pow x 2)) (* eps (* x (+ 1/24 (* -1/144 (pow x 2)))))) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2))))))
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
(+ (* -1/2 x) (* eps (- (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2))))))) 1/2)))
(- (* 1/12 (* eps x)) 1/2)
(- (* eps (+ (* 1/12 eps) (* 1/12 x))) 1/2)
(- (* eps (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))) 1/2)
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (* 1/24 (* (pow eps 2) x))))
(+ (* -1/2 x) (* 1/24 (* (pow eps 2) x)))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (- (* -1/2 (/ x eps)) 1/2))
(* eps (+ 1 (/ x eps)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* (pow eps 3) (* x (+ 1/24 (* -1/144 (pow x 2)))))
(* (pow eps 3) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1/2 (/ (pow x 2) (pow eps 3))) (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (+ (/ 1 (pow eps 3)) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))))) (* 1/6 (/ 1 eps))))
(* (pow eps 3) (+ 1/24 (* -1/144 (pow x 2))))
(* (pow eps 3) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))
(* (pow eps 3) (- (+ 1/24 (+ (* -1/2 (/ x (pow eps 3))) (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))
(* -1/144 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))
(* (pow eps 3) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))
(* (pow eps 3) (- (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/24 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))
(* 1/24 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/24 x)))
(* 1/12 (pow eps 2))
(* (pow eps 2) (- 1/12 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 3))
(* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* -1 (* (pow eps 3) (* x (- (* 1/144 (pow x 2)) 1/24))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/12 (pow x 2)))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2))))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* x (- (* 1/144 (pow x 2)) 1/24)))))
(* -1 (* (pow eps 3) (- (* 1/144 (pow x 2)) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1/12 (/ x eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/12 (pow x 2))) eps)) (* 1/12 x)) eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps)))) eps)) (* 1/12 x)) eps)) (* 1/144 (pow x 2))) 1/24)))
(* -1 (* (pow eps 3) (- (* 1/144 x) (* 1/12 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* 1/12 (/ x eps))) eps)) (* 1/144 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/144 x))))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/2 (/ x (pow eps 2))))))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))

Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ eps (* -1/6 (pow eps 3)))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x) eps (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) eps)) x)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) eps))) x)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x)
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) eps (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/12 binary64) eps)) x) x (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/144 binary64) eps)) x) x (.f64 #s(literal 1/12 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/6 binary64) eps))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ eps (* -1/2 (* (pow eps 2) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps eps) eps)
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 eps x)) eps)
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps x)) (.f64 (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/12 binary64)) x)) x eps)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1/2 eps) (* -1/2 x))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+ eps x)
(+.f64 eps x)
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x) eps (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x) eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/12 (pow eps 2)) 1/2)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ 1 (* -1/6 (pow eps 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (fma.f64 (.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2))) 1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)) eps (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) eps #s(literal 1 binary64)))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
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(* -1 (* (pow eps 3) (- (* 1/144 x) (* 1/12 (/ 1 eps)))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/144 binary64) x) (/.f64 #s(literal 1/12 binary64) eps)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* 1/12 (/ x eps))) eps)) (* 1/144 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) #s(literal 1/12 binary64)) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/12 (* -1 (/ (+ (* -1/12 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/144 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) x (/.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)) eps)) (neg.f64 eps)))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1/24 x) (* 1/2 (/ x (pow eps 2))))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/24 binary64) x (.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))) (pow.f64 eps #s(literal 3 binary64)))

rewrite196.0ms (1.9%)

Memory

-25.8MiB live, 229.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	577
0	101	554
1	444	554
0	3372	546

Stop Event

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

Counts

45 → 464

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps (cos.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) (neg.f64 (cos.f64 x))))
(.f64 eps (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps (cos.f64 x)))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) (cos.f64 x)))
(/.f64 (.f64 eps (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) (*.f64 (neg.f64 eps) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) (-.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (*.f64 eps eps)) (cos.f64 x)) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (-.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps))) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (neg.f64 eps)) (neg.f64 eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (fabs.f64 eps)) (fabs.f64 eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) eps) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (*.f64 eps eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (.f64 eps eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) eps))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))) (*.f64 (cos.f64 x) eps))
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(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(-.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 x x)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (.f64 x x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(PI.f64)
#s(literal 2 binary64)

eval168.0ms (1.6%)

Memory: 23.3MiB live, 208.7MiB allocated; 28ms collecting garbage
Compiler: Compiled 47 681 to 4 575 computations (90.4% saved)

prune68.0ms (0.6%)

Memory

-1.6MiB live, 92.3MiB allocated; 7ms collecting garbage

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	807	9	816
Fresh	2	13	15
Picked	3	2	5
Done	0	3	3
Total	812	27	839

Accuracy

100.0%

Counts

839 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
	99.9%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
▶	99.7%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
▶	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (.f64 #s(literal -1/6 binary64) eps)) eps) eps (.f64 (cos.f64 x) eps)))
	31.8%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
	31.5%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x))) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x)) (.f64 x x))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) eps) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* (+ eps x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
▶	5.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
✓	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 715 to 1 097 computations (36% saved)

series44.0ms (0.4%)

Memory

15.1MiB live, 62.0MiB allocated; 2ms collecting garbage

Counts

46 → 180

Calls

Call 1

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

Outputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ eps (* -1/6 (pow eps 3)))
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/6 (pow eps 2))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 (pow x 2))
(pow x 2)
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
-1/2
(- (* 1/12 (* eps x)) 1/2)
(* eps (sin (* 1/2 (PI))))
(+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 x) (* 1/2 (PI)))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(+ (* -1 x) (* -1/2 eps))
(+ eps (* 2 x))
(- (sin (+ eps x)) (sin x))
(+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* 1/12 (* eps x))
(* x (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* eps (sin (- (* 1/2 (PI)) x)))
(sin (- (* 1/2 (PI)) x))
(* -1 x)
(* x (- (* 1/2 (/ (PI) x)) 1))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (+ eps (* 2 x))))
(* x (- (* -1/2 (/ eps x)) 1))
(* 2 x)
(* x (+ 2 (/ eps x)))
(- (sin (- eps (* -1 x))) (sin x))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* -1 (* x (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* eps (sin (+ (* -1 x) (* 1/2 (PI)))))
(sin (+ (* -1 x) (* 1/2 (PI))))
(* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- eps (* -2 x))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
(- (* 1/24 (pow eps 2)) 1/2)
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(* 1/12 eps)
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (- (* 1/12 (pow x 2)) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (* 1/12 x) (* 1/2 (/ 1 eps))))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (+ 1 (* 2 (/ x eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (* x (+ 1/2 (* -1/12 (pow x 2))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(* -1 (* eps (+ 1/2 (* -1/12 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(* -1 (* eps (+ (* -1/12 x) (* 1/2 (/ 1 eps)))))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) eps (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) x) 1) (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (+ (* (* 1/12 eps) x) -1/2) (* 1/12 eps) 1/12 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) 1/2 (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (* 1/2 eps) 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
6.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) eps (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) x) 1) (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (+ (* (* 1/12 eps) x) -1/2) (* 1/12 eps) 1/12 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) 1/2 (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (* 1/2 eps) 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
5.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) eps (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) x) 1) (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (+ (* (* 1/12 eps) x) -1/2) (* 1/12 eps) 1/12 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) 1/2 (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (* 1/2 eps) 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) eps (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) x) 1) (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (+ (* (* 1/12 eps) x) -1/2) (* 1/12 eps) 1/12 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) 1/2 (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (* 1/2 eps) 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)
4.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) eps) (* (cos x) eps)) (* (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) eps) (+ (* (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (+ (* 1/24 (* eps eps)) -1/2) -1/2 (sin x) x (* -1/6 (* (cos x) eps)) -1/6 (* (cos x) eps) (cos x) eps (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* (+ eps x) -1/2) x) 1) (* (* x x) -1/2) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) x) 1) (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (+ (* (* 1/12 eps) x) -1/2) (* 1/12 eps) 1/12 (* -1/2 eps) 1 (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (- (* (PI) 1/2) x) (* (PI) 1/2) (PI) 1/2 (* (* (sin (/ (+ 0 eps) 2)) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (/ (+ 0 eps) 2)) 2) (sin (/ (+ 0 eps) 2)) (* 1/2 eps) 2 (cos (/ (+ (* 2 x) eps) -2)) (/ (+ (* 2 x) eps) -2) (+ (* 2 x) eps) -2)

simplify180.0ms (1.7%)

Memory

6.1MiB live, 193.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	2450
1	2164	2374
0	8414	2158

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ eps (* -1/6 (pow eps 3)))
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/6 (pow eps 2))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(* -1/6 eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
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))))
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
1
(+ 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)))
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 (pow x 2))
(pow x 2)
(* -1/2 eps)
(+ (* -1/2 eps) (* -1/2 x))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
-1/2
(- (* 1/12 (* eps x)) 1/2)
(* eps (sin (* 1/2 (PI))))
(+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))
(+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -1 x) (* 1/2 (PI)))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(+ (* -1 x) (* -1/2 eps))
(+ eps (* 2 x))
(- (sin (+ eps x)) (sin x))
(+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))))
(* eps (+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2))))
(+ (* -1/6 (* eps (cos x))) (* (sin x) (- (* 1/24 (pow eps 2)) 1/2)))
(sin x)
(* -1/6 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))
(* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))
(* 1/12 (* eps (pow x 3)))
(* (pow x 3) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/12 eps) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))))
(* 1/12 (* eps (pow x 2)))
(* (pow x 2) (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/12 eps)) (* 1/2 (/ 1 x))))
(* 1/12 (* eps x))
(* x (- (* 1/12 eps) (* 1/2 (/ 1 x))))
(* eps (sin (- (* 1/2 (PI)) x)))
(sin (- (* 1/2 (PI)) x))
(* -1 x)
(* x (- (* 1/2 (/ (PI) x)) 1))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (+ eps (* 2 x))))
(* x (- (* -1/2 (/ eps x)) 1))
(* 2 x)
(* x (+ 2 (/ eps x)))
(- (sin (- eps (* -1 x))) (sin x))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))
(* -1 (* (pow x 3) (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1/2) x)) (* -1/12 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2) x)) (* -1/12 eps))))
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ eps x))) x)) (* 1/12 eps)))
(* -1 (* x (+ (* -1/12 eps) (* 1/2 (/ 1 x)))))
(* eps (sin (+ (* -1 x) (* 1/2 (PI)))))
(sin (+ (* -1 x) (* 1/2 (PI))))
(* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- eps (* -2 x))))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
(* -1/2 (sin x))
(+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))
(+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
(- (* 1/24 (pow eps 2)) 1/2)
(+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))
(+ 1 (+ (* -1/2 (pow x 2)) (* eps (* x (- (* 1/12 (pow x 2)) 1/2)))))
(* -1/2 x)
(+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/2)))
(* 1/12 eps)
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* 1/24 (* (pow eps 4) (sin x)))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(* 1/24 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(* 1/24 (pow eps 2))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps x))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(* eps (- (* 1/12 (pow x 2)) 1/2))
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(* eps (- (* 1/12 x) (* 1/2 (/ 1 eps))))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(* eps (+ 1 (* 2 (/ x eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(* -1 (* eps (* x (+ 1/2 (* -1/12 (pow x 2))))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(* -1 (* eps (+ 1/2 (* -1/12 (pow x 2)))))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(* -1 (* eps (+ (* -1/12 x) (* 1/2 (/ 1 eps)))))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))

Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ eps (* -1/6 (pow eps 3)))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) eps)) x)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* -1/6 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 3))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) eps (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(literal -1/2 binary64) eps))) x)) x (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps))
(* -1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
(+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps))
(+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
(+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* -1/6 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/12 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* -1/6 eps)
(*.f64 #s(literal -1/6 binary64) eps)
(+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
(fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/24 (pow eps 2)) 1/2))) (* 1/12 eps)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/6 binary64) eps))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
(+ (* -1/6 eps) (* 1/12 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) eps (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* (pow x 2) (+ (* -1/144 (* eps (pow x 2))) (* 1/12 eps))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/12 binary64) eps)) x) x (*.f64 #s(literal -1/6 binary64) eps))
(+ (* -1/6 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/4320 (* eps (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/144 binary64) eps)) x) x (.f64 #s(literal 1/12 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/6 binary64) eps))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ eps (* -1/2 (* (pow eps 2) x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps eps) eps)
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 eps (+.f64 eps x)) eps)
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 eps x)) (.f64 (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/12 binary64)) x)) x eps)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1/2 eps) (* -1/2 x))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 1/12 (* eps x)) 1/2)
(fma.f64 (*.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64))
(* eps (sin (* 1/2 (PI))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)
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(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) (neg.f64 (sin.f64 x)) (.f64 #s(literal -1/8 binary64) (cos.f64 x))) eps (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/2 binary64))) eps (cos.f64 x))
(* 1/24 (* (pow eps 4) (sin x)))
(.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/24 binary64)) (sin.f64 x))
(* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))
(.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 4 binary64)))
(* 1/24 (* (pow eps 3) (sin x)))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)) (sin.f64 x))
(* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/24 (* (pow eps 2) (sin x)))
(.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/24 binary64))
(* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))
(.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps) eps)
(* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)) (*.f64 eps eps))
(* 1/24 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps)
(* -1/2 (* (pow eps 2) (sin x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) eps)
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)
(* -1/2 (* eps x))
(.f64 (.f64 eps x) #s(literal -1/2 binary64))
(* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))
(.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps)
(* eps (* x (- (* 1/12 (pow x 2)) 1/2)))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x) eps)
(* eps (+ (* -1/2 (/ (pow x 2) eps)) (+ (* x (- (* 1/12 (pow x 2)) 1/2)) (/ 1 eps))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps)
(* eps (- (* 1/12 (pow x 2)) 1/2))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) eps)
(* eps (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/2))
(.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))) eps)
(* eps (- (* 1/12 x) (* 1/2 (/ 1 eps))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal -1/2 binary64) eps)) eps)
(* 2 (sin (* 1/2 eps)))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* eps (- (* -1 (/ x eps)) 1/2))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (neg.f64 eps))) (neg.f64 eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))
(.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) (sin.f64 x)))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))
(.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)) (*.f64 eps eps))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (neg.f64 eps))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))
(.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 eps))))
(* -1 (* eps (* x (+ 1/2 (* -1/12 (pow x 2))))))
(.f64 (.f64 (neg.f64 eps) x) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* x (+ 1/2 (* -1/12 (pow x 2)))))))
(.f64 (neg.f64 eps) (fma.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 eps))))
(* -1 (* eps (+ 1/2 (* -1/12 (pow x 2)))))
(.f64 (neg.f64 eps) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(* -1 (* eps (+ 1/2 (+ (* -1/12 (pow x 2)) (* 1/2 (/ x eps))))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(* -1 (* eps (+ (* -1/12 x) (* 1/2 (/ 1 eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1/12 binary64) x (/.f64 #s(literal 1/2 binary64) eps)))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(* -1 (* eps (+ 1/2 (/ x eps))))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) #s(literal -1/2 binary64)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)))

rewrite132.0ms (1.3%)

Memory

8.7MiB live, 155.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	495
0	103	487
1	394	487
0	3518	470

Stop Event

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

Counts

46 → 403

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (neg.f64 (cos.f64 x))))
(.f64 eps (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) (fma.f64 (fma.f64 #s(approx (+ (* 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x))) (neg.f64 eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x))) (*.f64 eps eps))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (cos.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 eps eps)) (neg.f64 (.f64 (cos.f64 x) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 (fma.f64 #s(approx (+ (* 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x)))))
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (neg.f64 x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(.f64 (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)))
(.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)))
(neg.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -2 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps))) (.f64 #s(literal 1 binary64) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(+.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
(/.f64 (.f64 (.f64 eps (neg.f64 eps)) #s(literal 1/2 binary64)) (neg.f64 eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (neg.f64 eps))) (neg.f64 eps))
(/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 eps eps))
(neg.f64 (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64))
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 2 binary64)
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 (PI.f64))) #s(literal -2 binary64)))
(-.f64 (.f64 (cos.f64 (.f64 x #s(literal -1 binary64))) (cos.f64 (/.f64 eps #s(literal -2 binary64)))) (.f64 (sin.f64 (.f64 x #s(literal -1 binary64))) (sin.f64 (/.f64 eps #s(literal -2 binary64)))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (/.f64 eps #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64)))) (-.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 eps #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64))) (.f64 (.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) eps)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 eps #s(literal -2 binary64)))
(fma.f64 x #s(literal -1 binary64) (/.f64 eps #s(literal -2 binary64)))
(+.f64 (/.f64 eps #s(literal -2 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 eps #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x)) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 eps (.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) eps)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (+.f64 eps x) x)
(+.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
#s(literal -2 binary64)

eval91.0ms (0.9%)

Memory: -9.7MiB live, 182.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 25 061 to 2 909 computations (88.4% saved)

prune50.0ms (0.5%)

Memory

6.6MiB live, 53.5MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	618	6	624
Fresh	7	10	17
Picked	2	3	5
Done	0	5	5
Total	627	24	651

Accuracy

100.0%

Counts

651 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
	99.9%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
	99.7%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	99.7%	(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
✓	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
	31.5%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
	31.7%	#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x))) (*.f64 eps eps)))
	99.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
✓	100.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
✓	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) eps)) x #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
✓	5.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
	6.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
✓	97.5%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 956 to 743 computations (62% saved)

regimes47.0ms (0.5%)

Memory

-39.7MiB live, 56.4MiB allocated; 7ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* (+ eps x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x))) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) eps) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x)) (.f64 x x))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (.f64 #s(literal -1/6 binary64) eps)) eps) eps (.f64 (cos.f64 x) eps)))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x))) (*.f64 eps eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))

Outputs

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

Calls

3 calls:

21.0ms	eps
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.3%)

Memory

6.5MiB live, 53.1MiB allocated; 2ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* (+ eps x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x))) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) eps) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x)) (.f64 x x))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (.f64 #s(literal -1/6 binary64) eps)) eps) eps (.f64 (cos.f64 x) eps)))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (/.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps)))

Outputs

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

Calls

3 calls:

10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	x
9.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* (+ eps x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x))) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) eps) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x)) (.f64 x x))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (.f64 #s(literal -1/6 binary64) eps)) eps) eps (.f64 (cos.f64 x) eps)))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))

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

Calls

3 calls:

8.0ms	eps
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes40.0ms (0.4%)

Memory

-17.0MiB live, 30.1MiB allocated; 2ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* (+ eps x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* (+ eps x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* 1/12 eps) x) -1/2) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) x #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x))) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) eps) #s(literal -1/6 binary64))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 #s(approx (+ (* (+ (* (* (* (+ (* 1/24 (* eps eps)) -1/2) x) eps) -1/6) (+ (* 1/12 (* eps eps)) -1/2)) x) (* (+ (* 1/24 (* eps eps)) -1/2) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps (/.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) eps) eps #s(literal -1/2 binary64)) x)) (.f64 x x))) x (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (+ (* (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/24) -1/2)) (* (* (cos x) eps) -1/6)) (*.f64 #s(literal -1/6 binary64) eps)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/24 (* eps eps)) -1/2) (sin x)) (* -1/6 (* (cos x) eps))) (.f64 #s(literal -1/6 binary64) eps)) eps) eps (.f64 (cos.f64 x) eps)))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) (PI.f64)) #s(literal 2 binary64))))

Outputs

(*.f64 (*.f64 #s(approx (sin (/ (+ 0 eps) 2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))

Calls

3 calls:

22.0ms	eps
8.0ms	x
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

-12.7MiB live, 39.3MiB allocated; 3ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

-5.0MiB live, 41.8MiB allocated; 2ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))

Calls

3 calls:

5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.2%)

Memory

-13.5MiB live, 32.8MiB allocated; 2ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	eps
5.0ms	x
5.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

-21.7MiB live, 24.9MiB allocated; 3ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`
97.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

-29.9MiB live, 19.8MiB allocated; 6ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Accuracy

Total -59.1b remaining (-3762.9%)

Threshold costs -59.1b (-3762.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify45.0ms (0.4%)

Memory

2.0MiB live, 48.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	284
1	141	284
2	287	284
3	952	284
4	3236	284

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( 1/24 (* eps eps)) -1/2) #s(literal -1/2 binary64)) (sin.f64 x) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps))) eps) eps (*.f64 (cos.f64 x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (+ 0 eps) 2)) (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ ( 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 eps x) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) eps))

derivations841.0ms (8.1%)

Memory

10.8MiB live, 619.3MiB allocated; 109ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 288 to 108 computations (62.5% saved)

preprocess68.0ms (0.6%)

Memory: 7.6MiB live, 146.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 620 to 254 computations (59% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze48.0ms (0.5%)

sample6.8s (65.1%)

explain110.0ms (1.1%)

preprocess90.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

simplify158.0ms (1.5%)

rewrite206.0ms (2%)

eval24.0ms (0.2%)

prune9.0ms (0.1%)

series37.0ms (0.4%)

simplify217.0ms (2.1%)

rewrite94.0ms (0.9%)

eval163.0ms (1.6%)

prune28.0ms (0.3%)

series89.0ms (0.9%)

simplify210.0ms (2%)

rewrite196.0ms (1.9%)

eval168.0ms (1.6%)

prune68.0ms (0.6%)

series44.0ms (0.4%)

simplify180.0ms (1.7%)

rewrite132.0ms (1.3%)

eval91.0ms (0.9%)

prune50.0ms (0.5%)

regimes47.0ms (0.5%)

regimes29.0ms (0.3%)

regimes26.0ms (0.2%)

regimes40.0ms (0.4%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

simplify45.0ms (0.4%)

derivations841.0ms (8.1%)

preprocess68.0ms (0.6%)

end0.0ms (0%)

Profiling