Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze78.0ms (0.6%)

Memory

-5.9MiB live, 71.5MiB allocated

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)

sample6.7s (52.2%)

Memory

-83.5MiB live, 6 960.2MiB allocated

Samples

3.4s	26 075×	0	invalid
784.0ms	2 831×	1	valid
719.0ms	5 425×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-tan: 694.0ms (19.3% of total)

const: 658.0ms (18.3% of total)

ival-<=: 391.0ms (10.9% of total)

adjust: 353.0ms (9.8% of total)

ival-mult: 299.0ms (8.3% of total)

ival-fabs: 291.0ms (8.1% of total)

ival-<: 273.0ms (7.6% of total)

ival-sub: 241.0ms (6.7% of total)

ival-add: 236.0ms (6.6% of total)

ival-and: 104.0ms (2.9% of total)

exact: 47.0ms (1.3% of total)

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

Bogosity

explain154.0ms (1.2%)

Memory

26.9MiB live, 119.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
225	1	(-6.321304583461574e-165 1.9562173474536463e-167)	5	(-7.17803971071384e-89 1.426738632169062e-90)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
4	0	-	1	(25.372984330158864 7.931164963240239e-11)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	221	14
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	221	5
-	1	29

Precision

0.9954954954954955

Recall

0.9778761061946902

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	5	0
-	1	9	20

Precision?

0.9576271186440678

Recall?

1.0

Freqs

test

number	freq
0	34
1	220
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	350×	0	valid
17.0ms	158×	1	valid
1.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-sub: 22.0ms (54.3% of total)

ival-tan: 11.0ms (27.1% of total)

adjust: 4.0ms (9.9% of total)

ival-add: 3.0ms (7.4% of total)

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

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

preprocess34.0ms (0.3%)

Memory

-32.6MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.15045309489009046	(tan.f64 (+.f64 x eps))
accuracy	23.46837559755935	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

8.0ms	175×	0	valid
8.0ms	79×	1	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-tan: 5.0ms (50.3% of total)

adjust: 2.0ms (20.1% of total)

ival-add: 2.0ms (20.1% of total)

ival-sub: 1.0ms (10.1% of total)

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

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

series17.0ms (0.1%)

Memory

-15.1MiB live, 22.2MiB allocated

Counts

4 → 31

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin x) (cos x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
3.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify157.0ms (1.2%)

Memory

-2.3MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	950
1	464	884
2	1539	873
3	6077	710
0	8335	686

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(/ (sin x) (cos x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (/ x eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (/.f64 x (cos.f64 eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) x (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (cos.f64 eps)) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps) #s(literal 1 binary64)) #s(literal -1/3 binary64))) x) x (.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 eps) x) (cos.f64 eps)) #s(literal 1 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps)
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps)
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)

rewrite191.0ms (1.5%)

Memory

-3.8MiB live, 212.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6137	16
0	8166	16

Stop Event

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

Counts

4 → 255

Calls

Call 1

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

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

eval46.0ms (0.4%)

Memory: -9.9MiB live, 76.9MiB allocated
Compiler: Compiled 7 565 to 1 005 computations (86.7% saved)

prune16.0ms (0.1%)

Memory

-3.2MiB live, 35.4MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	262	14	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	262	15	277

Accuracy

100.0%

Counts

277 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.0%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
▶	63.3%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	63.0%	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
	62.1%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	63.1%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	63.0%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	31.9%	(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	63.1%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
▶	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
▶	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Compiler

Compiled 855 to 422 computations (50.6% saved)

simplify160.0ms (1.2%)

Memory

-3.8MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
cost-diff	256	(neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) x))
cost-diff	384	(-.f64 (+.f64 eps x) x)
cost-diff	704	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(sin.f64 x)
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
cost-diff	192	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	128	(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
cost-diff	128	(neg.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
cost-diff	6720	(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
cost-diff	34240	(fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1130
0	117	1122
1	218	1111
2	534	1107
3	1939	1070
4	5015	968
0	8275	949

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
(.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps)
(fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)
(neg.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(sin.f64 x)
x
(fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))
(/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
eps
(.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x))
(*.f64 (sin.f64 x) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
eps
(cos.f64 eps)
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(sin.f64 x)
x
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(tan.f64 (+.f64 eps x))
(+.f64 eps x)
eps
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(sin.f64 (-.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(tan.f64 eps)
eps
(tan.f64 x)
x
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))
(neg.f64 (tan.f64 eps))
(neg.f64 (tan.f64 x))

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

localize278.0ms (2.2%)

Memory

27.5MiB live, 310.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (tan.f64 eps))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
accuracy	0.015625	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	23.467444213084544	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
accuracy	0.015625	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
accuracy	0.0234375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.11988939792293074	(cos.f64 (+.f64 eps x))
accuracy	23.651505640506645	(-.f64 (+.f64 eps x) x)
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
accuracy	0.15045309489009046	(tan.f64 (+.f64 eps x))
accuracy	23.49990987952135	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	0.00390625	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	1.5885665398290625	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.03972626953688403	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
accuracy	0.16569841887904943	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
accuracy	0.31640625	(.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)
accuracy	0.34765625	(*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))

Samples

118.0ms	84×	1	valid
89.0ms	170×	0	valid
5.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 2 213 to 128 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add: 38.0ms (23.8% of total)

ival-mult: 33.0ms (20.7% of total)

ival-div: 20.0ms (12.5% of total)

ival-tan: 13.0ms (8.2% of total)

adjust: 12.0ms (7.5% of total)

ival-neg: 11.0ms (6.9% of total)

ival-cos: 6.0ms (3.8% of total)

ival-sin: 6.0ms (3.8% of total)

ival-pow2: 6.0ms (3.8% of total)

const: 5.0ms (3.1% of total)

ival-pow: 5.0ms (3.1% of total)

ival-sub: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.8%)

Memory

-14.8MiB live, 99.3MiB allocated

Counts

30 → 181

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(neg.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
(cos.f64 eps)
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (+.f64 eps x) x)
(sin.f64 (-.f64 (+.f64 eps x) x))
(+.f64 eps x)
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(tan.f64 (+.f64 eps x))
(cos.f64 x)
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(neg.f64 (tan.f64 eps))

Outputs
-2/3
(- (* -2 (pow x 2)) 2/3)
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
-1/3
(- (* -2/3 (* eps x)) 1/3)
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(sin eps)
(+ eps x)
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (* x (sin eps)) (cos eps)) 1)
(- (* x (- (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) 1)
(- (* x (- (* (pow x 2) (- (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (* -1 (/ (sin eps) (cos eps))))) 1)
(* -1 (/ (sin eps) (cos eps)))
(- (* -1 x) (/ (sin eps) (cos eps)))
(- (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))
(- (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* -2/3 x)
(* x (- (* -17/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (* -1 (/ (* x (sin eps)) (cos eps))) 1)
(- (* x (- (* -1 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))) 1)
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(/ -1 (cos x))
(sin x)
(* -1 (cos x))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* x (+ 1 (/ eps x)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))
(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))))
(pow (sin x) 4)
(/ (sin (+ eps x)) (cos (+ eps x)))
(cos x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (* eps (sin x)) (cos x)) 1)
(- (* eps (- (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1 (/ (sin x) (cos x))))) 1)
(- (* eps (- (* (pow eps 2) (- (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1/3 (/ (sin x) (cos x))))) (* -1 (/ (sin x) (cos x))))) 1)
(* -1 (/ (sin x) (cos x)))
(- (* -1 eps) (/ (sin x) (cos x)))
(- (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (sin x) (cos x)))
(- (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (+ (* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))) (* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (* -1 (/ (* eps (sin x)) (cos x))) 1)
(- (* eps (- (* -1 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x)))) 1)
(- (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin x) (cos x))) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))) 1)
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))
(* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
(* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(* eps (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 2) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(* (pow eps 2) (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))))
(* -1 (* eps (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (- (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (/ 1 (neg (cos x))) (sin x) (neg (cos x)) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (- (+ eps x) x) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (- (tan (+ x eps)) (tan x)) (pow (sin x) 4) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
28.0ms	x	@	-inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (/ 1 (neg (cos x))) (sin x) (neg (cos x)) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (- (+ eps x) x) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (- (tan (+ x eps)) (tan x)) (pow (sin x) 4) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
10.0ms	eps	@	-inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (/ 1 (neg (cos x))) (sin x) (neg (cos x)) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (- (+ eps x) x) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (- (tan (+ x eps)) (tan x)) (pow (sin x) 4) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
10.0ms	eps	@	0	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (/ 1 (neg (cos x))) (sin x) (neg (cos x)) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (- (+ eps x) x) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (- (tan (+ x eps)) (tan x)) (pow (sin x) 4) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
9.0ms	eps	@	inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (/ 1 (neg (cos x))) (sin x) (neg (cos x)) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (- (+ eps x) x) (sin (- (+ eps x) x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (- (tan (+ x eps)) (tan x)) (pow (sin x) 4) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))

simplify186.0ms (1.4%)

Memory

2.8MiB live, 158.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	742	4424
1	2235	4220
2	6750	4168
0	8106	3929

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 179

Calls

Call 1

Inputs
-2/3
(- (* -2 (pow x 2)) 2/3)
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
-1/3
(- (* -2/3 (* eps x)) 1/3)
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(sin eps)
(+ eps x)
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (* x (sin eps)) (cos eps)) 1)
(- (* x (- (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) 1)
(- (* x (- (* (pow x 2) (- (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (* -1 (/ (sin eps) (cos eps))))) 1)
(* -1 (/ (sin eps) (cos eps)))
(- (* -1 x) (/ (sin eps) (cos eps)))
(- (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))
(- (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* -2/3 x)
(* x (- (* -17/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(- (* -1 (/ (* x (sin eps)) (cos eps))) 1)
(- (* x (- (* -1 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))) 1)
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(/ -1 (cos x))
(sin x)
(* -1 (cos x))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* x (+ 1 (/ eps x)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))
(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))))
(pow (sin x) 4)
(/ (sin (+ eps x)) (cos (+ eps x)))
(cos x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(/ -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(/ eps (pow (cos x) 2))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (* eps (sin x)) (cos x)) 1)
(- (* eps (- (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1 (/ (sin x) (cos x))))) 1)
(- (* eps (- (* (pow eps 2) (- (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1/3 (/ (sin x) (cos x))))) (* -1 (/ (sin x) (cos x))))) 1)
(* -1 (/ (sin x) (cos x)))
(- (* -1 eps) (/ (sin x) (cos x)))
(- (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (sin x) (cos x)))
(- (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
(* eps (+ (* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))) (* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(- (* -1 (/ (* eps (sin x)) (cos x))) 1)
(- (* eps (- (* -1 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x)))) 1)
(- (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin x) (cos x))) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))) 1)
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))
(* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
(* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(* eps (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(* eps (+ 1 (/ x eps)))
(* -1 (* (pow eps 2) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(* (pow eps 2) (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))))
(* -1 (* eps (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (- (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))

Outputs
-2/3
#s(literal -2/3 binary64)
(- (* -2 (pow x 2)) 2/3)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2/3 binary64))
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(fma.f64 (fma.f64 #s(literal -37/12 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal -2/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -154/45 binary64) (.f64 x x) #s(literal -37/12 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -2/3 (* eps x)) 1/3)
(fma.f64 (*.f64 #s(literal -2/3 binary64) x) eps #s(literal -1/3 binary64))
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x (*.f64 #s(literal -2/3 binary64) eps)) x #s(literal -1/3 binary64))
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/9 binary64) (.f64 eps x) #s(literal -4/3 binary64)) x (.f64 #s(literal -2/3 binary64) eps)) x #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/3 (* eps x)))
(fma.f64 (*.f64 eps x) #s(literal 2/3 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) eps (*.f64 #s(literal 4/3 binary64) x)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) eps (.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 eps x) #s(literal 4/3 binary64)) x)) x #s(literal 1/3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 eps x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) eps) x) x eps) x #s(literal 1 binary64))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) eps) (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal -1/6 binary64) eps))) (.f64 x x) (.f64 #s(literal 1/3 binary64) eps)) (*.f64 x x) eps) x #s(literal 1 binary64))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow x 2)) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (.f64 x x) #s(literal -5/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
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)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(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))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 x (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(sin eps)
(sin.f64 eps)
(+ eps x)
(+.f64 eps x)
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (/ (* x (sin eps)) (cos eps)) 1)
(fma.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)) #s(literal -1 binary64))
(- (* x (- (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) 1)
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x #s(literal -1 binary64))
(- (* x (- (* (pow x 2) (- (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (* -1 (/ (sin eps) (cos eps))))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/3 binary64)) (cos.f64 eps))) (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))) x #s(literal -1 binary64))
(* -1 (/ (sin eps) (cos eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(- (* -1 x) (/ (sin eps) (cos eps)))
(-.f64 (neg.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))
(-.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (/ (sin eps) (cos eps)))
(-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ x (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -17/9 (pow x 2)) 2/3))
(.f64 (fma.f64 #s(literal -17/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))
(.f64 (fma.f64 (fma.f64 #s(literal -124/45 binary64) (.f64 x x) #s(literal -17/9 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2764/945 binary64) (.f64 x x) #s(literal -124/45 binary64)) (.f64 x x) #s(literal -17/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) x)
(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) x (*.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) (.f64 (.f64 #s(literal 4/3 binary64) x) eps)) x (.f64 #s(literal 1/3 binary64) eps))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 17/9 binary64) (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) x (.f64 #s(literal 1/3 binary64) eps))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -34/945 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (/.f64 x (cos.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (neg.f64 x) (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #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))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(- (* -1 (/ (* x (sin eps)) (cos eps))) 1)
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1 binary64))
(- (* x (- (* -1 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps)))) 1)
(fma.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))) 1)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/3 binary64) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) x #s(literal -1 binary64))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
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(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
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(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(- (/ (* eps (sin x)) (cos x)) 1)
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(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(- (* -1 eps) (/ (sin x) (cos x)))
(-.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (sin x) (cos x)))
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(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
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(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
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(* eps (+ (* -1 (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))) (* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))
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(pow (cos x) 2)
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(* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (+ (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
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(.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(* eps (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps))
(/ (* eps (sin x)) (cos x))
(*.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)))
(* eps (+ (/ 1 eps) (/ (sin x) (cos x))))
(fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* (pow eps 2) (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))
(.f64 (.f64 eps (neg.f64 eps)) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x)))
(* (pow eps 2) (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))))
(.f64 (.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps)) eps)
(* -1 (* eps (+ (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) eps)
(* -1 (* eps (- (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (* eps (pow (cos x) 2)))) (* -1/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) (* -1 (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -2/3 binary64) #s(literal -2/3 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)) (neg.f64 eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

rewrite325.0ms (2.5%)

Memory

9.2MiB live, 202.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	663
0	117	642
1	499	532
2	4625	512
0	9368	498

Stop Event

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

Counts

30 → 753

Calls

Call 1

Inputs
(fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(neg.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
(cos.f64 eps)
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(sin.f64 x)
(neg.f64 (cos.f64 x))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (+.f64 eps x) x)
(sin.f64 (-.f64 (+.f64 eps x) x))
(+.f64 eps x)
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps)
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(tan.f64 (+.f64 eps x))
(cos.f64 x)
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(neg.f64 (tan.f64 eps))

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

eval271.0ms (2.1%)

Memory: 36.3MiB live, 304.6MiB allocated
Compiler: Compiled 102 263 to 7 298 computations (92.9% saved)

prune28.0ms (0.2%)

Memory

-7.9MiB live, 68.5MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 243	13	1 256
Fresh	8	1	9
Picked	5	0	5
Done	0	1	1
Total	1 256	15	1 271

Accuracy

100.0%

Counts

1 271 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (tan.f64 (+.f64 eps x)))
	99.8%	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.8%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	39.8%	(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	55.4%	(.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 eps x) x) (.f64 (+.f64 (+.f64 eps x) x) (+.f64 #s(literal 0 binary64) eps))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
▶	99.8%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 eps eps) (neg.f64 (fma.f64 (.f64 eps (sin.f64 x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))))) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶	5.3%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	99.7%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	99.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Compiler

Compiled 863 to 484 computations (43.9% saved)

simplify157.0ms (1.2%)

Memory

-7.1MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 eps)
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	0	(sin.f64 (+.f64 #s(literal 0 binary64) eps))
cost-diff	0	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x))))
cost-diff	0	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
cost-diff	192	(+.f64 #s(literal 0 binary64) eps)
cost-diff	0	(cos.f64 x)
cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
cost-diff	0	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
cost-diff	0	(sin.f64 eps)
cost-diff	0	#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
cost-diff	320	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	237
0	74	221
1	119	203
2	210	202
3	387	202
4	775	202
5	1831	202
6	3553	202
7	6344	202
0	8054	197

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.3%)

Memory

-5.5MiB live, 242.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (tan.f64 eps))
accuracy	0.015625	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
accuracy	0.015625	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	23.46837559755935	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
accuracy	0.01953125	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x))))
accuracy	0.04085715476030194	(+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))
accuracy	0.12091704569205397	(cos.f64 (+.f64 (+.f64 eps x) x))
accuracy	0.28125	(+.f64 (+.f64 eps x) x)
accuracy	0.0	(cos.f64 x)
accuracy	0.02734375	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.02734375	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.6953420360519826	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
accuracy	60.62669814529613	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.015625	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
accuracy	0.0234375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.11988939792293074	(cos.f64 (+.f64 eps x))

Samples

74.0ms	84×	1	valid
60.0ms	170×	0	valid
4.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 464 to 87 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-cos: 18.0ms (21.1% of total)

ival-tan: 13.0ms (15.3% of total)

ival-div: 11.0ms (12.9% of total)

ival-mult: 10.0ms (11.7% of total)

ival-add: 9.0ms (10.6% of total)

adjust: 8.0ms (9.4% of total)

ival-sin: 7.0ms (8.2% of total)

ival-neg: 3.0ms (3.5% of total)

ival-sub: 3.0ms (3.5% of total)

ival-pow2: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.6%)

Memory

0.8MiB live, 39.1MiB allocated

Counts

23 → 143

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ 1 (cos eps))
(+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ eps (* 2 x))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* (cos x) (cos (+ eps x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(/ eps (pow (cos x) 2))
(pow (cos x) 2)
(cos x)
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(cos (+ eps x))
(/ 1 (* (cos x) (cos (+ eps x))))
(* 2 x)
(* x (+ 2 (/ eps x)))
(cos (+ eps (* 2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(cos (- eps (* -1 x)))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(cos (- eps (* -2 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ 1 (pow (cos x) 2))
(+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(cos (* 2 x))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(+ 1 (cos (* 2 x)))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (+ 1 (* 2 (/ x eps))))
(* -1 (/ (sin eps) (cos eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(cos (- x (* -1 eps)))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	eps	@	0	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (+ 0 eps) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (sin (+ 0 eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (+ (tan eps) (tan x)) (tan eps) (cos (+ eps x)) (/ 1 (* (cos (+ eps x)) (cos x))) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (neg (tan eps)))
6.0ms	eps	@	-inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (+ 0 eps) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (sin (+ 0 eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (+ (tan eps) (tan x)) (tan eps) (cos (+ eps x)) (/ 1 (* (cos (+ eps x)) (cos x))) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (neg (tan eps)))
6.0ms	eps	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (+ 0 eps) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (sin (+ 0 eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (+ (tan eps) (tan x)) (tan eps) (cos (+ eps x)) (/ 1 (* (cos (+ eps x)) (cos x))) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (neg (tan eps)))
6.0ms	x	@	-inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (+ 0 eps) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (sin (+ 0 eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (+ (tan eps) (tan x)) (tan eps) (cos (+ eps x)) (/ 1 (* (cos (+ eps x)) (cos x))) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (neg (tan eps)))
6.0ms	x	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (cos x) (+ 0 eps) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (sin (+ 0 eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan eps)) (tan x)) 1)) (+ (tan eps) (tan x)) (tan eps) (cos (+ eps x)) (/ 1 (* (cos (+ eps x)) (cos x))) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (neg (tan eps)))

simplify160.0ms (1.2%)

Memory

0.6MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	3619
1	2054	3434
2	6697	3350
0	8383	3174

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 142

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(/ 1 (cos eps))
(+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ eps (* 2 x))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(* (cos x) (cos (+ eps x)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))
(/ eps (pow (cos x) 2))
(pow (cos x) 2)
(cos x)
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(cos (+ eps x))
(/ 1 (* (cos x) (cos (+ eps x))))
(* 2 x)
(* x (+ 2 (/ eps x)))
(cos (+ eps (* 2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(cos (- eps (* -1 x)))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(cos (- eps (* -2 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ 1 (pow (cos x) 2))
(+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(cos (* 2 x))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(+ 1 (cos (* 2 x)))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (+ 1 (* 2 (/ x eps))))
(* -1 (/ (sin eps) (cos eps)))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(cos (- x (* -1 eps)))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (sin.f64 eps) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 2/3 binary64) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal 2/3 binary64) (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps)))) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 x x) eps eps)
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #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 #s(literal 1/24 binary64) (.f64 x x) #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))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
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(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(/ 1 (pow (cos x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))
(fma.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 eps) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (cos.f64 (.f64 #s(literal -2 binary64) x)))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 (.f64 #s(literal -2 binary64) x))) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal -2 binary64) x)))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (cos.f64 (.f64 #s(literal -2 binary64) x)))
(+ 1 (cos (* 2 x)))
(+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/3 binary64) #s(literal -1 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal -1 binary64)) eps)
(* eps (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(* -1 (/ (sin eps) (cos eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 (*.f64 (/.f64 x eps) #s(literal -2 binary64)) (neg.f64 eps) eps)
(cos (- (* 2 x) (* -1 eps)))
(cos.f64 (fma.f64 #s(literal 2 binary64) x eps))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))
(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))

rewrite255.0ms (2%)

Memory

25.5MiB live, 213.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	202
0	74	182
1	299	144
2	2486	144
0	9653	140

Stop Event

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

Counts

23 → 858

Calls

Call 1

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

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

eval230.0ms (1.8%)

Memory: -40.6MiB live, 229.4MiB allocated
Compiler: Compiled 31 017 to 4 274 computations (86.2% saved)

prune42.0ms (0.3%)

Memory

-7.7MiB live, 117.7MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 033	22	1 055
Fresh	5	4	9
Picked	1	4	5
Done	0	1	1
Total	1 039	31	1 070

Accuracy

100.0%

Counts

1 070 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
	99.8%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.8%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (fma.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	99.8%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
▶	100.0%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
	99.7%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	99.7%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	99.5%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	39.8%	(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.9%	(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	99.8%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.1%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
	98.2%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
▶	97.9%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
	99.5%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x))))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
▶	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	5.3%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	99.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
	53.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
✓	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	97.7%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
	97.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
▶	97.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))

Compiler

Compiled 1 552 to 1 043 computations (32.8% saved)

simplify247.0ms (1.9%)

Memory

13.5MiB live, 170.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
cost-diff	128	(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) eps)
cost-diff	0	(.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 eps)
cost-diff	0	#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
cost-diff	704	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) eps eps)
cost-diff	0	#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps))
cost-diff	0	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
cost-diff	0	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 eps)))))
cost-diff	0	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
cost-diff	128	(+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))
cost-diff	192	(+.f64 #s(literal 0 binary64) eps)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	429
0	95	399
1	165	380
2	327	380
3	681	380
4	2260	380
5	6358	380
0	8407	373

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (1.2%)

Memory

-12.0MiB live, 181.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
accuracy	0.01953125	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
accuracy	0.04079274803065909	(+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
accuracy	0.32425998354913255	#s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
accuracy	0.015625	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
accuracy	0.0234375	(.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	0.11988939792293074	(cos.f64 (+.f64 eps x))
accuracy	1.3151660622915786	#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0	(tan.f64 eps)
accuracy	1.5885665398290625	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (*.f64 x x) eps eps)
accuracy	0.6953420360519826	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
accuracy	1.2478929215850194	#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps))
accuracy	0.00390625	(-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 eps)))
accuracy	0.0078125	(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps))
accuracy	0.01953125	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 eps)))))
accuracy	0.04085715476030194	(+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))

Samples

68.0ms	177×	0	valid
55.0ms	79×	1	valid

Compiler

Compiled 763 to 119 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 24.0ms (25% of total)

ival-cos: 15.0ms (15.6% of total)

ival-add: 14.0ms (14.6% of total)

ival-div: 12.0ms (12.5% of total)

adjust: 9.0ms (9.4% of total)

ival-sin: 7.0ms (7.3% of total)

ival-tan: 6.0ms (6.2% of total)

ival-sub: 4.0ms (4.2% of total)

ival-pow2: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series50.0ms (0.4%)

Memory

16.4MiB live, 53.9MiB allocated

Counts

23 → 125

Calls

Call 1

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

Outputs
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(pow x 2)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
2
(+ 2 (* -2 (* eps x)))
(+ 2 (* x (+ (* -2 eps) (* -2 x))))
(+ 2 (* x (+ (* -2 eps) (* x (- (* 4/3 (* eps x)) 2)))))
(+ (cos eps) (* -2 (* (pow x 2) (cos eps))))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* 2/3 (* (pow x 2) (cos eps))))))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* (pow x 2) (+ (* -4/45 (* (pow x 2) (cos eps))) (* 2/3 (cos eps)))))))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin 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)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))
(* 2 (/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))))
(/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ eps (pow (cos x) 2))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* (cos x) (cos (+ eps x)))
(+ 1 (+ (cos (* -2 x)) (* -1 (* eps (sin (* 2 x))))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(* (cos eps) (cos (* 2 x)))
(- (* (cos eps) (cos (* 2 x))) (* (sin eps) (sin (* 2 x))))
(cos x)
(cos (+ eps x))
(+ (cos eps) (cos (+ eps (* 2 x))))
(+ 1 (cos (* -2 x)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* (cos x) (cos (- eps (* -1 x))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(cos (- eps (* -1 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(+ 1 (cos (* 2 x)))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ 1 (pow x 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(cos (* 2 x))
(+ (cos (* 2 x)) (* -1/2 (* (pow eps 2) (cos (* 2 x)))))
(+ (cos (* 2 x)) (* (pow eps 2) (+ (* -1/2 (cos (* 2 x))) (* 1/24 (* (pow eps 2) (cos (* 2 x)))))))
(+ (cos (* 2 x)) (* (pow eps 2) (+ (* -1/2 (cos (* 2 x))) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos (* 2 x)))) (* 1/24 (cos (* 2 x))))))))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* -1 (* eps (sin (* 2 x))))
(* eps (+ (* -1 (sin (* 2 x))) (+ (/ 1 eps) (/ (cos (* -2 x)) eps))))
(- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))
(* 2 (/ (sin (neg (* -1 eps))) (- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))))
(/ (sin (neg (* -1 eps))) (- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* eps (+ (sin (* 2 x)) (* -1 (/ (+ 1 (cos (* -2 x))) eps)))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(cos (- x (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((+ 0 eps) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (* (cos (* 2 x)) (cos eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))) (cos x) (cos (+ eps x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+ (cos (* -2 x)) 1))
9.0ms	eps	@	inf	((+ 0 eps) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (* (cos (* 2 x)) (cos eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))) (cos x) (cos (+ eps x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+ (cos (* -2 x)) 1))
6.0ms	eps	@	-inf	((+ 0 eps) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (* (cos (* 2 x)) (cos eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))) (cos x) (cos (+ eps x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+ (cos (* -2 x)) 1))
5.0ms	x	@	inf	((+ 0 eps) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (* (cos (* 2 x)) (cos eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))) (cos x) (cos (+ eps x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+ (cos (* -2 x)) 1))
4.0ms	eps	@	0	((+ 0 eps) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (sin eps) (* (cos (+ eps x)) (cos x)) (+ (* (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (* (cos (* 2 x)) (cos eps)) (- (* (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))) (cos x) (cos (+ eps x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+ (cos (* -2 x)) 1))

simplify220.0ms (1.7%)

Memory

-2.4MiB live, 160.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	2987
1	1758	2830
2	5624	2728
0	9016	2576

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 124

Calls

Call 1

Inputs
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(pow x 2)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(sin eps)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
2
(+ 2 (* -2 (* eps x)))
(+ 2 (* x (+ (* -2 eps) (* -2 x))))
(+ 2 (* x (+ (* -2 eps) (* x (- (* 4/3 (* eps x)) 2)))))
(+ (cos eps) (* -2 (* (pow x 2) (cos eps))))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* 2/3 (* (pow x 2) (cos eps))))))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* (pow x 2) (+ (* -4/45 (* (pow x 2) (cos eps))) (* 2/3 (cos eps)))))))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin 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)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))
(* 2 (/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))))
(/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x)))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ eps (pow (cos x) 2))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* (cos x) (cos (+ eps x)))
(+ 1 (+ (cos (* -2 x)) (* -1 (* eps (sin (* 2 x))))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(* (cos eps) (cos (* 2 x)))
(- (* (cos eps) (cos (* 2 x))) (* (sin eps) (sin (* 2 x))))
(cos x)
(cos (+ eps x))
(+ (cos eps) (cos (+ eps (* 2 x))))
(+ 1 (cos (* -2 x)))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* (cos x) (cos (- eps (* -1 x))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(cos (- eps (* -1 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(+ 1 (cos (* 2 x)))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(* eps (+ 1 (pow x 2)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(cos (* 2 x))
(+ (cos (* 2 x)) (* -1/2 (* (pow eps 2) (cos (* 2 x)))))
(+ (cos (* 2 x)) (* (pow eps 2) (+ (* -1/2 (cos (* 2 x))) (* 1/24 (* (pow eps 2) (cos (* 2 x)))))))
(+ (cos (* 2 x)) (* (pow eps 2) (+ (* -1/2 (cos (* 2 x))) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos (* 2 x)))) (* 1/24 (cos (* 2 x))))))))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* -1 (* eps (sin (* 2 x))))
(* eps (+ (* -1 (sin (* 2 x))) (+ (/ 1 eps) (/ (cos (* -2 x)) eps))))
(- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))
(* 2 (/ (sin (neg (* -1 eps))) (- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))))
(/ (sin (neg (* -1 eps))) (- (+ (cos (neg (* -1 eps))) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* eps (+ (sin (* 2 x)) (* -1 (/ (+ 1 (cos (* -2 x))) eps)))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(cos (- x (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Outputs
(* 2 (cos eps))
(*.f64 (cos.f64 eps) #s(literal 2 binary64))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(fma.f64 (.f64 (sin.f64 eps) x) #s(literal -2 binary64) (.f64 (cos.f64 eps) #s(literal 2 binary64)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 eps) x (sin.f64 eps))) x (.f64 (cos.f64 eps) #s(literal 2 binary64)))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (cos.f64 eps) (.f64 (sin.f64 eps) (fma.f64 x (.f64 #s(literal 4/3 binary64) x) #s(literal -2 binary64)))) x (.f64 (cos.f64 eps) #s(literal 2 binary64)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/6 binary64) (.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) x (.f64 (sin.f64 eps) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 1/2 binary64) (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/6 binary64) (.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) x (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (*.f64 (sin.f64 eps) (/.f64 #s(literal 1/2 binary64) (cos.f64 eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (sin.f64 eps) (-.f64 (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* eps (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(sin eps)
(sin.f64 eps)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (sin.f64 eps)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
2
#s(literal 2 binary64)
(+ 2 (* -2 (* eps x)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) eps #s(literal 2 binary64))
(+ 2 (* x (+ (* -2 eps) (* -2 x))))
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))
(+ 2 (* x (+ (* -2 eps) (* x (- (* 4/3 (* eps x)) 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 4/3 binary64) #s(literal -2 binary64)) x (.f64 #s(literal -2 binary64) eps)) x #s(literal 2 binary64))
(+ (cos eps) (* -2 (* (pow x 2) (cos eps))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (cos.f64 eps))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* 2/3 (* (pow x 2) (cos eps))))))
(fma.f64 (.f64 (cos.f64 eps) (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64))) (*.f64 x x) (cos.f64 eps))
(+ (cos eps) (* (pow x 2) (+ (* -2 (cos eps)) (* (pow x 2) (+ (* -4/45 (* (pow x 2) (cos eps))) (* 2/3 (cos eps)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x #s(literal 1 binary64)) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (cos.f64 eps) (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)))))
(+ (cos eps) (* -2 (* x (sin eps))))
(fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -2 binary64) (cos.f64 eps))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 eps) x (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (cos.f64 eps) (.f64 (sin.f64 eps) (fma.f64 x (*.f64 #s(literal 4/3 binary64) x) #s(literal -2 binary64)))) x (cos.f64 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 #s(literal 1/24 binary64) (.f64 x x) #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))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 eps)) x (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ 2 (* -2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps) (cos.f64 eps)))
(* 2 (/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x))))))
(/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 eps) (cos.f64 eps))))
(/ (sin eps) (- (+ (cos eps) (* (cos eps) (cos (* 2 x)))) (* (sin eps) (sin (* 2 x)))))
(/.f64 (sin.f64 eps) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (sin.f64 eps)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps) (cos.f64 eps))))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/ eps (pow (cos x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(.f64 (.f64 (+.f64 (/.f64 eps (*.f64 x x)) eps) x) x)
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(+ 1 (+ (cos (* -2 x)) (* -1 (* eps (sin (* 2 x))))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(* (cos eps) (cos (* 2 x)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps))
(- (* (cos eps) (cos (* 2 x))) (* (sin eps) (sin (* 2 x))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 eps)))
(cos x)
(cos.f64 x)
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(+ (cos eps) (cos (+ eps (* 2 x))))
(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))
(+ 1 (cos (* -2 x)))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(+ (cos eps) (cos (- eps (* -2 x))))
(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))
(+ 1 (cos (* 2 x)))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps)
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps)
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(.f64 (fma.f64 (fma.f64 (.f64 eps (.f64 #s(literal -2 binary64) eps)) (fma.f64 (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))) eps (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps)
(/ eps (+ 1 (cos (* 2 x))))
(/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(.f64 (fma.f64 (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) eps (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps)
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
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(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
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(* eps (+ 1 (pow x 2)))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) 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 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
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(*.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))
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(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
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(cos (* 2 x))
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(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
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(* -1 (* eps (sin (* 2 x))))
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rewrite222.0ms (1.7%)

Memory

26.0MiB live, 179.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	331
0	95	305
1	401	247
2	3383	247
0	8947	241

Stop Event

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

Counts

23 → 582

Calls

Call 1

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

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

eval152.0ms (1.2%)

Memory: -32.5MiB live, 210.2MiB allocated
Compiler: Compiled 32 484 to 3 664 computations (88.7% saved)

prune48.0ms (0.4%)

Memory

17.7MiB live, 133.2MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	849	14	863
Fresh	8	13	21
Picked	3	2	5
Done	0	5	5
Total	860	34	894

Accuracy

100.0%

Counts

894 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) eps)) (cos.f64 eps)))
	99.5%	(/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
	99.8%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	98.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
✓	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	55.0%	(.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) eps) (.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	99.9%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
	99.8%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (fma.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	99.8%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	99.7%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 #s(approx ( (cos (* 2 x)) (cos eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
	99.7%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	99.4%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	97.7%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
	39.8%	(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.9%	(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	99.8%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.1%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
	98.2%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
	99.5%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x))))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	5.3%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	53.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
✓	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	97.7%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
	97.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
	98.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
	98.1%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
✓	97.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
	6.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))

Compiler

Compiled 2 885 to 1 060 computations (63.3% saved)

regimes76.0ms (0.6%)

Memory

-3.8MiB live, 83.7MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) eps)) (cos.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 eps x) x) (.f64 (+.f64 (+.f64 eps x) x) (+.f64 #s(literal 0 binary64) eps))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) eps) (.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (fma.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 #s(approx ( (cos (* 2 x)) (cos eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 eps)) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 eps eps) (neg.f64 (fma.f64 (.f64 eps (sin.f64 x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))))) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) eps))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))

Outputs

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

Calls

3 calls:

39.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	x
17.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes51.0ms (0.4%)

Memory

8.5MiB live, 83.9MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) eps)) (cos.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 eps x) x) (.f64 (+.f64 (+.f64 eps x) x) (+.f64 #s(literal 0 binary64) eps))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) eps) (.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (fma.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (fma.f64 (+.f64 (cos.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (-.f64 #s(approx ( (cos (* 2 x)) (cos eps)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (sin.f64 eps))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Outputs

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

Calls

3 calls:

17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	x
15.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes52.0ms (0.4%)

Memory

8.2MiB live, 88.4MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 x #s(literal 2 binary64) eps)) (cos.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 x #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 eps x) x) (.f64 (+.f64 (+.f64 eps x) x) (+.f64 #s(literal 0 binary64) eps))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) eps) (.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)))) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 eps) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (fma.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps)))) (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 (*.f64 (sin.f64 x) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) eps (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

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

Calls

3 calls:

20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms	x
14.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.3%)

Memory

-38.8MiB live, 84.3MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x) (tan.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))

Outputs
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

Calls

3 calls:

13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps
9.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

2.1MiB live, 41.6MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (- ( (cos (* 2 x)) (cos eps)) (* (sin (* 2 x)) (sin eps))))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) #s(approx (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))) #s(approx (+ ( (sin (* 2 x)) (neg eps)) (+ (cos (* -2 x)) 1)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 x eps)) x #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (*.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (.f64 (neg.f64 (.f64 eps eps)) (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (neg.f64 eps)))
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) #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))))))
(-.f64 (tan.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (tan.f64 x))

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

Calls

3 calls:

7.0ms	x
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	eps

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`eps`
98.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) #s(approx (+ (* (* x x) eps) eps) (.f64 (.f64 x x) eps))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 17/45 binary64)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) eps) (.f64 (.f64 (.f64 eps #s(literal -17/45 binary64)) x) x)) (.f64 x x) eps) (.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`eps`
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.2%)

Memory

-29.4MiB live, 10.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))

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

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

Calls

3 calls:

26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
6.5%	1	`x`
6.5%	1	`eps`
6.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))

Outputs
#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.3%	1	`eps`
5.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify215.0ms (1.7%)

Memory

-9.4MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	216
1	136	192
2	243	191
3	469	191
4	1494	191
5	5049	191

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.2s (9.4%)

Memory

14.0MiB live, 484.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	3619
1	2054	3434
2	6697	3350
0	8383	3174
0	6	16
0	10	16
1	50	16
2	402	16
3	6137	16
0	8166	16
0	62	331
0	95	305
1	401	247
2	3383	247
0	8947	241
0	60	663
0	117	642
1	499	532
2	4625	512
0	9368	498
0	566	2987
1	1758	2830
2	5624	2728
0	9016	2576
0	742	4424
1	2235	4220
2	6750	4168
0	8106	3929
0	46	202
0	74	182
1	299	144
2	2486	144
0	9653	140

Stop Event

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

Compiler

Compiled 701 to 361 computations (48.5% saved)

preprocess168.0ms (1.3%)

Memory: 22.7MiB live, 102.0MiB allocated
Compiler: Compiled 472 to 200 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18

start0.0ms (0%)

analyze78.0ms (0.6%)

sample6.7s (52.2%)

explain154.0ms (1.2%)

preprocess34.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize23.0ms (0.2%)

series17.0ms (0.1%)

simplify157.0ms (1.2%)

rewrite191.0ms (1.5%)

eval46.0ms (0.4%)

prune16.0ms (0.1%)

simplify160.0ms (1.2%)

localize278.0ms (2.2%)

series99.0ms (0.8%)

simplify186.0ms (1.4%)

rewrite325.0ms (2.5%)

eval271.0ms (2.1%)

prune28.0ms (0.2%)

simplify157.0ms (1.2%)

localize171.0ms (1.3%)

series83.0ms (0.6%)

simplify160.0ms (1.2%)

rewrite255.0ms (2%)

eval230.0ms (1.8%)

prune42.0ms (0.3%)

simplify247.0ms (1.9%)

localize160.0ms (1.2%)

series50.0ms (0.4%)

simplify220.0ms (1.7%)

rewrite222.0ms (1.7%)

eval152.0ms (1.2%)

prune48.0ms (0.4%)

regimes76.0ms (0.6%)

regimes51.0ms (0.4%)

regimes52.0ms (0.4%)

regimes34.0ms (0.3%)

regimes24.0ms (0.2%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes30.0ms (0.2%)

regimes4.0ms (0%)

simplify215.0ms (1.7%)

soundness1.2s (9.4%)

preprocess168.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	312	35
5	383	35
6	469	35
7	509	35
8	521	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	110	7
8	159	7
9	175	7
10	183	7
0	183	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	110	18
8	159	18
9	175	18
10	183	18
0	183	18