Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.4%)

Memory

-14.0MiB live, 68.8MiB 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)

sample7.1s (53.7%)

Memory

142.9MiB live, 7 027.8MiB allocated

Samples

3.9s	26 066×	0	invalid
720.0ms	5 468×	0	valid
535.0ms	2 788×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-tan: 753.0ms (21.7% of total)

const: 712.0ms (20.6% of total)

ival-sub: 359.0ms (10.4% of total)

ival-fabs: 300.0ms (8.7% of total)

ival-mult: 295.0ms (8.5% of total)

ival-<=: 295.0ms (8.5% of total)

ival-add: 246.0ms (7.1% of total)

ival-<: 235.0ms (6.8% of total)

ival-and: 115.0ms (3.3% of total)

adjust: 92.0ms (2.7% of total)

exact: 47.0ms (1.4% of total)

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

Bogosity

explain144.0ms (1.1%)

Memory

8.1MiB live, 90.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
227	2	(3.5258304694688906e-234 5.36406118418697e-237)	5	(6.607187044018154e-226 1.767460004444861e-227)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
1	0	-	0	-	`(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	224	9
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	222	5
-	2	27

Precision

0.9910714285714286

Recall

0.9779735682819384

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	222	4	1
-	2	5	22

Precision?

0.9699570815450643

Recall?

0.9955947136563876

Freqs

test

number	freq
0	32
1	223
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	176×	1	valid
17.0ms	334×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-tan: 10.0ms (35.5% of total)

ival-add: 10.0ms (35.5% of total)

adjust: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.6% of total)

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

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

preprocess30.0ms (0.2%)

Memory

-15.8MiB live, 20.6MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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)

localize28.0ms (0.2%)

Memory

0.7MiB live, 38.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.0943012081009648	(tan.f64 (+.f64 x eps))
accuracy	24.580358972829284	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

12.0ms	167×	0	valid
10.0ms	88×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-tan: 5.0ms (36.5% of total)

ival-sub: 5.0ms (36.5% of total)

adjust: 2.0ms (14.6% of total)

ival-add: 2.0ms (14.6% of total)

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

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

series11.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB 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
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))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify193.0ms (1.5%)

Memory

-26.3MiB live, 245.7MiB 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)

rewrite177.0ms (1.3%)

Memory

2.7MiB live, 234.5MiB 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)))

eval44.0ms (0.3%)

Memory: -18.3MiB live, 63.7MiB allocated
Compiler: Compiled 7 565 to 1 005 computations (86.7% saved)

prune19.0ms (0.1%)

Memory

-5.9MiB live, 32.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	258	18	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	258	19	277

Accuracy

100.0%

Counts

277 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
	61.6%	(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)))
	61.3%	(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)))
	60.6%	(/.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))))
▶	61.5%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	61.4%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	61.6%	(-.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))
	60.8%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
	61.4%	(-.f64 (*.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))) (tan.f64 x))
	37.8%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
▶	61.4%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	97.8%	#s(approx (- (tan (+ x eps)) (tan x)) (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))))
	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))
▶	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.9%	#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))
▶	99.9%	#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))
	99.6%	#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 1 031 to 534 computations (48.2% saved)

simplify125.0ms (0.9%)

Memory

29.8MiB live, 151.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
cost-diff	2	(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
cost-diff	9	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) x))
cost-diff	2	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
cost-diff	4	(-.f64 (+.f64 eps x) x)
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(sin.f64 x)
cost-diff	1	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
cost-diff	1	(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	1	(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
cost-diff	1	(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	3	(*.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))))
cost-diff	4	(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))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1151
0	109	1143
1	205	1135
2	526	1123
3	2288	1084
4	7679	1084
0	8076	1066

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)
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
eps
x
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(cos.f64 (+.f64 eps x))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.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 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (.f64 #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 (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 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (.f64 #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 (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 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (.f64 #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 (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 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (.f64 #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)
(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 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (.f64 #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))))))
(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 #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))) (fma.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)))))) eps (/.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))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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)) (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)))))))
(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 #s(literal -1/3 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 (*.f64 (/.f64 #s(literal -1/3 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 (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)))))
(/.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 (*.f64 (/.f64 #s(literal -1/3 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 (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))))
(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)
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x) (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
eps
x
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))

localize220.0ms (1.7%)

Memory

0.4MiB live, 233.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))
accuracy	0.0641035843812187	(cos.f64 (+.f64 eps x))
accuracy	0.06804234713007237	(sin.f64 (+.f64 eps x))
accuracy	24.530912661392694	(-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
accuracy	0.0234375	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.0641035843812187	(cos.f64 (+.f64 eps x))
accuracy	24.68468339095561	(-.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	0.0943012081009648	(tan.f64 (+.f64 eps x))
accuracy	24.607935927224368	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
accuracy	0.0	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	1.9735570628276482	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.0390625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.05048754884221008	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
accuracy	0.3046875	(.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	0.33984375	(*.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

94.0ms	96×	1	valid
72.0ms	159×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 1 099 to 64 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 32.0ms (24.4% of total)

ival-div: 22.0ms (16.8% of total)

ival-add: 16.0ms (12.2% of total)

adjust: 12.0ms (9.2% of total)

ival-tan: 8.0ms (6.1% of total)

ival-sin: 8.0ms (6.1% of total)

ival-cos: 7.0ms (5.3% of total)

ival-neg: 6.0ms (4.6% of total)

const: 5.0ms (3.8% of total)

ival-pow: 5.0ms (3.8% of total)

ival-pow2: 5.0ms (3.8% of total)

ival-sub: 4.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series87.0ms (0.7%)

Memory

5.3MiB live, 81.8MiB allocated

Counts

28 → 190

Calls

Call 1

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

Outputs
-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)
(* -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
(+ 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)
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)))
(+ (* 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)
(+ eps x)
(+ (* x (+ (* x (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* x (+ (* -1 (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (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 (sin eps))
(+ (* -1 (sin eps)) (* (pow x 4) (- (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (+ (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* 1/20160 (sin eps)) (+ (* 1/720 (sin eps)) (* 1/576 (sin eps))))) (* -1 (+ (* 1/2520 (sin eps)) (* 1/360 (sin eps))))))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* -1 (* x (cos eps))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(* 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))))
(+ 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)))
(+ (* 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 (cos eps))
(+ (* -1 (cos eps)) (* x (sin eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (cos eps)))))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (cos eps) (* -1 (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin 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))))))))
(* (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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x)))) (* (cos x) (cos (+ eps x)))))
(- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x))))
(* -1 (* (cos x) (sin (+ eps x))))
(sin (+ eps 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)
(pow (cos x) 2)
(/ (sin (+ eps x)) (cos (+ eps x)))
(cos x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(* -1 (* (cos x) (cos (+ eps 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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x)))) (* (cos x) (cos (- eps (* -1 x))))))
(- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x))))
(* -1 (* (cos x) (sin (- eps (* -1 x)))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (* (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))))
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* -1 (* (cos x) (sin x)))
(+ (* -1 (* eps (pow (cos x) 2))) (* -1 (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* 1/2 (* eps (* (cos x) (sin x)))))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/6 (* eps (pow (cos x) 2))) (* 1/2 (* (cos x) (sin x))))))))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* -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))))))))
(/ (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 (- (* -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))))
(+ (* -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 (pow (cos x) 2))
(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/2 (* eps (pow (cos x) 2))) (* (cos x) (sin x)))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* eps (+ (* -1/6 (* eps (* (cos x) (sin x)))) (* 1/2 (pow (cos x) 2)))) (* (cos x) (sin x)))))
(* 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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x)))) (* (cos x) (cos (- x (* -1 eps))))))
(- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x))))
(* -1 (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((+ (* (* (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) (+ (* (/ (+ (* (/ (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)))))) (+ (/ (* (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)) (- (+ eps x) x) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (+ eps x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps 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) (pow (sin x) 4) (pow (cos x) 2) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (cos x))))
19.0ms	x	@	inf	((+ (* (* (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) (+ (* (/ (+ (* (/ (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)))))) (+ (/ (* (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)) (- (+ eps x) x) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (+ eps x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps 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) (pow (sin x) 4) (pow (cos x) 2) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (cos x))))
14.0ms	eps	@	0	((+ (* (* (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) (+ (* (/ (+ (* (/ (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)))))) (+ (/ (* (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)) (- (+ eps x) x) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (+ eps x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps 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) (pow (sin x) 4) (pow (cos x) 2) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (cos x))))
12.0ms	x	@	0	((+ (* (* (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) (+ (* (/ (+ (* (/ (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)))))) (+ (/ (* (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)) (- (+ eps x) x) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (+ eps x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps 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) (pow (sin x) 4) (pow (cos x) 2) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (cos x))))
8.0ms	eps	@	inf	((+ (* (* (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) (+ (* (/ (+ (* (/ (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)))))) (+ (/ (* (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)) (- (+ eps x) x) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (+ eps x) (/ (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (neg (cos x)))) (- (* (sin (+ eps x)) (neg (cos x))) (* (cos (+ eps x)) (neg (sin x)))) (* (sin (+ eps x)) (neg (cos x))) (sin (+ eps 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) (pow (sin x) 4) (pow (cos x) 2) (tan (+ eps x)) (cos x) (cos (+ eps x)) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (cos x))))

simplify162.0ms (1.2%)

Memory

-1.4MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	798	4686
1	2553	4421
0	8342	4186

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 188

Calls

Call 1

Inputs
-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)
(* -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
(+ 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)
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)))
(+ (* 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)
(+ eps x)
(+ (* x (+ (* x (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (+ (* x (+ (* -1 (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (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 (sin eps))
(+ (* -1 (sin eps)) (* (pow x 4) (- (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (+ (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* 1/20160 (sin eps)) (+ (* 1/720 (sin eps)) (* 1/576 (sin eps))))) (* -1 (+ (* 1/2520 (sin eps)) (* 1/360 (sin eps))))))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(+ (* -1 (sin eps)) (* -1 (* x (cos eps))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(* 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))))
(+ 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)))
(+ (* 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 (cos eps))
(+ (* -1 (cos eps)) (* x (sin eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (cos eps)))))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (cos eps) (* -1 (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin 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))))))))
(* (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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x)))) (* (cos x) (cos (+ eps x)))))
(- (* -1 (* (cos x) (sin (+ eps x)))) (* -1 (* (cos (+ eps x)) (sin x))))
(* -1 (* (cos x) (sin (+ eps x))))
(sin (+ eps 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)
(pow (cos x) 2)
(/ (sin (+ eps x)) (cos (+ eps x)))
(cos x)
(cos (+ eps x))
(* (cos x) (cos (+ eps x)))
(* -1 (* (cos x) (cos (+ eps 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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x)))) (* (cos x) (cos (- eps (* -1 x))))))
(- (* -1 (* (cos x) (sin (- eps (* -1 x))))) (* -1 (* (cos (- eps (* -1 x))) (sin x))))
(* -1 (* (cos x) (sin (- eps (* -1 x)))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (* (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))))
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(* -1 (* (cos x) (sin x)))
(+ (* -1 (* eps (pow (cos x) 2))) (* -1 (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* 1/2 (* eps (* (cos x) (sin x)))))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/6 (* eps (pow (cos x) 2))) (* 1/2 (* (cos x) (sin x))))))))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* -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))))))))
(/ (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 (- (* -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))))
(+ (* -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 (pow (cos x) 2))
(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/2 (* eps (pow (cos x) 2))) (* (cos x) (sin x)))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* eps (+ (* -1/6 (* eps (* (cos x) (sin x)))) (* 1/2 (pow (cos x) 2)))) (* (cos x) (sin x)))))
(* 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)))
(* -1 (/ (- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x)))) (* (cos x) (cos (- x (* -1 eps))))))
(- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x))))
(* -1 (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))

Outputs
-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))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -17/9 (pow x 2)) 2/3))
(.f64 (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #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
#s(literal 1/3 binary64)
(+ 1/3 (* 2/3 (* eps x)))
(fma.f64 #s(literal 2/3 binary64) (*.f64 eps x) #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))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 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))
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 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (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 (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 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (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)))) x (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (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)
(+ eps x)
(+.f64 eps x)
(+ (* x (+ (* x (+ (/ (sin eps) (cos eps)) (/ (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 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (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 (+ (* x (+ (* -1 (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (/ (sin eps) (cos eps)) (/ (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 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.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)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (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 (sin eps))
(neg.f64 (sin.f64 eps))
(+ (* -1 (sin eps)) (* (pow x 4) (- (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* -1/3 (sin eps)))))
(fma.f64 (fma.f64 (sin.f64 eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 eps) #s(literal -1/3 binary64))) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (sin.f64 eps)))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) (.f64 x x) (fma.f64 (sin.f64 eps) #s(literal 1/3 binary64) (.f64 (sin.f64 eps) #s(literal -1/3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (sin.f64 eps)))
(+ (* -1 (sin eps)) (* (pow x 4) (- (+ (* -1 (+ (* 1/12 (sin eps)) (* 1/4 (sin eps)))) (* (pow x 2) (- (+ (* -1 (+ (* -1/24 (sin eps)) (* -1/360 (sin eps)))) (* (pow x 2) (- (* -1 (+ (* 1/20160 (sin eps)) (+ (* 1/720 (sin eps)) (* 1/576 (sin eps))))) (* -1 (+ (* 1/2520 (sin eps)) (* 1/360 (sin eps))))))) (* -1 (+ (* -1/36 (sin eps)) (* -1/60 (sin eps))))))) (* -1/3 (sin eps)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -1/315 binary64) (.f64 (sin.f64 eps) #s(literal 1/315 binary64))) (.f64 x x) #s(literal 0 binary64)) x) x (fma.f64 (sin.f64 eps) #s(literal 1/3 binary64) (.f64 (sin.f64 eps) #s(literal -1/3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (sin.f64 eps)))
(+ (* -1 (sin eps)) (* -1 (* x (cos eps))))
(neg.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (sin eps)))))
(fma.f64 (fma.f64 (sin.f64 eps) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps)))
(+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (cos.f64 eps) #s(literal -2/3 binary64)) (sin.f64 eps)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps)))
(+ (sin eps) (* x (cos eps)))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) #s(literal -1/6 binary64)) x (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) x (sin.f64 eps))
(* 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 x x) #s(literal -2/3 binary64) #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)))
(+ 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 (.f64 x x) #s(literal 1/3 binary64) #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))
(+ (* 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 (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 1/6 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 (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 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (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 (sin.f64 eps) x) #s(literal 1/6 binary64) (.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x (neg.f64 (sin.f64 eps))) x (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))
(* -1 (cos eps))
(neg.f64 (cos.f64 eps))
(+ (* -1 (cos eps)) (* x (sin eps)))
(fma.f64 (sin.f64 eps) x (neg.f64 (cos.f64 eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (cos eps)))))
(fma.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x (neg.f64 (cos.f64 eps)))
(+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (cos eps) (* -1 (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (cos.f64 eps)) x (sin.f64 eps)) x (neg.f64 (cos.f64 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))))))))
(fma.f64 (*.f64 (sin.f64 x) eps) (-.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)))) (-.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)))))
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(fma.f64 (*.f64 (fma.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))))) 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))))
(* 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))))
(fma.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)))) (.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1 (/ (* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 2)))
(*.f64 (neg.f64 eps) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (* -1 (/ (* eps (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))) (pow (cos x) 3))) (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2)))))
(.f64 (neg.f64 eps) (fma.f64 (.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (* eps (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3)))))))
(.f64 (fma.f64 (neg.f64 eps) (fma.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)
(* eps (+ (* -1 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* eps (+ (* -1 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* eps (+ (* -1 (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* eps (+ (* -1 (/ (* (sin x) (- 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 4))) (+ (* -1/2 (/ (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))) (* 1/6 (/ (* (sin x) (- (* -1 (pow (cos x) 2)) (pow (sin x) 2))) (pow (cos x) 3))))))))))))
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(* eps (- (* -1 (pow (cos x) 2)) (pow (sin x) 2)))
(*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps)
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 eps eps) (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (* -1/120 (pow (cos x) 2)) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (.f64 #s(literal 1/6 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 eps eps) (-.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (+ (* -1 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* 1/6 (pow (cos x) 2)) (* (pow eps 2) (- (+ (* -1/120 (pow (cos x) 2)) (* (pow eps 2) (- (* 1/5040 (pow (cos x) 2)) (* -1/5040 (pow (sin x) 2))))) (* 1/120 (pow (sin x) 2))))) (* -1/6 (pow (sin x) 2))))) (pow (sin x) 2)))
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(* -1 (* (cos x) (sin x)))
(*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+ (* -1 (* eps (pow (cos x) 2))) (* -1 (* (cos x) (sin x))))
(neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps (*.f64 (cos.f64 x) (sin.f64 x))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* 1/2 (* eps (* (cos x) (sin x)))))))
(fma.f64 (fma.f64 (.f64 eps (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/6 (* eps (pow (cos x) 2))) (* 1/2 (* (cos x) (sin x))))))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 x)) (cos.f64 x) (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) eps (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(+ (sin x) (* eps (cos x)))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps (sin.f64 x))
(* -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)))))))
(*.f64 (neg.f64 eps) (-.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 (+ (* -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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(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #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 (fma.f64 (*.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #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)))
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(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(fma.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 x) (.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) eps)) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) eps)) (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) eps)) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1 (pow (cos x) 2))
(neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* -1 (pow (cos x) 2)) (* eps (* (cos x) (sin x))))
(fma.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* 1/2 (* eps (pow (cos x) 2))) (* (cos x) (sin x)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (cos.f64 x) (sin.f64 x))) eps (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ (* -1 (pow (cos x) 2)) (* eps (+ (* eps (+ (* -1/6 (* eps (* (cos x) (sin x)))) (* 1/2 (pow (cos x) 2)))) (* (cos x) (sin x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (.f64 (cos.f64 x) (sin.f64 x))) eps (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* 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 (.f64 (sin.f64 x) eps) (-.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 (/ (+ (/ (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))))))))
(.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)) eps) (/.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)))) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))) 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)))))))
(.f64 (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)))
(* 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 (neg.f64 eps) (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 (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 (*.f64 (neg.f64 eps) 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)))))
(* (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 (neg.f64 eps) (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 (* (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 eps (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)))
(* -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 (neg.f64 eps) (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)) eps) (/.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)))) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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)
(* -1 (/ (- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x)))) (* (cos x) (cos (- x (* -1 eps))))))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 (+.f64 eps x)) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(- (* -1 (* (cos x) (sin (- x (* -1 eps))))) (* -1 (* (cos (- x (* -1 eps))) (sin x))))
(fma.f64 (neg.f64 (cos.f64 x)) (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))
(* -1 (* (cos x) (sin (- x (* -1 eps)))))
(*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (+.f64 eps x)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(/ (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))
(* -1 (* (cos x) (cos (- x (* -1 eps)))))
(*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))

rewrite207.0ms (1.6%)

Memory

5.1MiB live, 201.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	500
0	101	473
1	438	386
2	3808	372
0	8241	364

Stop Event

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

Counts

28 → 734

Calls

Call 1

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

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

eval280.0ms (2.1%)

Memory: 35.6MiB live, 374.8MiB allocated
Compiler: Compiled 128 542 to 8 856 computations (93.1% saved)

prune36.0ms (0.3%)

Memory

-0.5MiB live, 82.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 558	12	1 570
Fresh	11	2	13
Picked	5	0	5
Done	0	1	1
Total	1 574	15	1 589

Accuracy

100.0%

Counts

1 589 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
▶	99.9%	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
▶	99.9%	(*.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))
	58.5%	(.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))))
	60.8%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.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))))))
	99.9%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	99.6%	#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))
	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
▶	5.4%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	99.6%	#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)))))
▶	99.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x)))
▶	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 603 to 416 computations (31% saved)

simplify182.0ms (1.4%)

Memory

-22.4MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	223
0	60	201
1	97	187
2	166	186
3	305	186
4	651	186
5	1655	186
6	3316	186
7	6001	186
8	7714	186
0	8043	181

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (0.9%)

Memory

20.3MiB live, 140.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))
accuracy	0.0234375	(/.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	0.07937844555174081	(cos.f64 (+.f64 (+.f64 eps x) x))
accuracy	0.203125	(+.f64 (+.f64 eps x) x)
accuracy	0.0	(cos.f64 x)
accuracy	0.0234375	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.0641035843812187	(cos.f64 (+.f64 eps x))
accuracy	0.0	(cos.f64 x)
accuracy	0.01953125	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.0390625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.6752407199598327	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
accuracy	60.5331725029086	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
accuracy	0.0	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x)))
accuracy	0.01171875	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))
accuracy	0.0641035843812187	(cos.f64 (+.f64 eps x))

Samples

53.0ms	94×	1	valid
42.0ms	162×	0	valid

Compiler

Compiled 205 to 35 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 13.0ms (18.8% of total)

adjust: 11.0ms (15.9% of total)

ival-cos: 9.0ms (13% of total)

ival-sin: 8.0ms (11.6% of total)

ival-mult: 8.0ms (11.6% of total)

ival-neg: 7.0ms (10.1% of total)

ival-add: 6.0ms (8.7% of total)

ival-pow2: 3.0ms (4.3% of total)

ival-tan: 2.0ms (2.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory

-0.3MiB live, 38.1MiB allocated

Counts

19 → 113

Calls

Call 1

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

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)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos 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)))
(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)))))))))
(+ eps (* 2 x))
(+ (* 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))))))
(+ (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) (* -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))))
(/ (sin eps) (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)
(* (cos x) (cos (+ eps x)))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(cos (+ eps x))
(cos (+ eps (* 2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/ (sin eps) (cos (- eps (* -1 x))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(cos (- eps (* -1 x)))
(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 (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* 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 (/ (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))))
(+ (* -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))
(* 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))))))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (* 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))))))
(sin eps)
(* eps (+ 1 (* 2 (/ x eps))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin eps) (cos (- x (* -1 eps))))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* 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 (- (* 2 x) (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos (+ eps x))) (cos x)) (/ (sin eps) (cos (+ eps x))) (sin eps) (+ (* (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 (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (+ (+ eps x) x) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (cos (+ eps x)) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))))
5.0ms	x	@	0	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos (+ eps x))) (cos x)) (/ (sin eps) (cos (+ eps x))) (sin eps) (+ (* (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 (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (+ (+ eps x) x) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (cos (+ eps x)) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))))
5.0ms	eps	@	0	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos (+ eps x))) (cos x)) (/ (sin eps) (cos (+ eps x))) (sin eps) (+ (* (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 (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (+ (+ eps x) x) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (cos (+ eps x)) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))))
5.0ms	eps	@	-inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos (+ eps x))) (cos x)) (/ (sin eps) (cos (+ eps x))) (sin eps) (+ (* (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 (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (+ (+ eps x) x) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (cos (+ eps x)) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))))
4.0ms	eps	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos (+ eps x))) (cos x)) (/ (sin eps) (cos (+ eps x))) (sin eps) (+ (* (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 (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (+ (+ eps x) x) (* (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ 0 eps)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x)))) (cos (+ eps x)) (cos (+ (+ eps x) x)) (+ (cos (+ 0 eps)) (cos (+ (+ eps x) x))))

simplify158.0ms (1.2%)

Memory

-12.2MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	2746
1	1645	2582
2	5178	2467
0	8490	2327

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

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

rewrite522.0ms (4%)

Memory

-326.4MiB live, 250.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	182
0	61	156
1	255	145
2	1940	145
0	8245	141

Stop Event

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

Counts

19 → 871

Calls

Call 1

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

Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 (.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)))))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1/2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 (.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.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 (sin.f64 eps) (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -1 binary64))))
(*.f64 (/.f64 #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 (sin.f64 eps) (pow.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))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (cos.f64 x)))
(*.f64 (/.f64 (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 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 (sin.f64 eps) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1/2 binary64))))) (/.f64 #s(literal 2 binary64) (cos.f64 (.f64 (-.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (sin.f64 eps) (.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))))) #s(literal 1 binary64))
(.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal -1 binary64)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64))) (cos.f64 x)))
(*.f64 (/.f64 (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 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))) (/.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.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 (.f64 (sin.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)))) (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 (sin.f64 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 2 binary64) (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 eps) (+.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 2 binary64) (pow.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))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (/.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))))) (/.f64 (sin.f64 eps) #s(literal 2 binary64)))
(.f64 (/.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.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))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 eps) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.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))))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) #s(literal 2 binary64))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(.f64 (sin.f64 eps) (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 eps) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(literal -1 binary64)) (sin.f64 eps))
(.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (.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)))))))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.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))))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (sin.f64 eps)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 x eps))) (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 x eps))) (fma.f64 (.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) (.f64 (.f64 (/.f64 (cos.f64 x) (cos.f64 x)) (tan.f64 (+.f64 x eps))) (*.f64 (/.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (.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))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 eps)))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 eps)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 eps)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))))
(/.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) #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)))))
(/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 x) #s(literal -1 binary64))) (cos.f64 (+.f64 x eps)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 eps))) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))
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(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
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eval158.0ms (1.2%)

Memory: 0.9MiB live, 211.6MiB allocated
Compiler: Compiled 30 939 to 3 764 computations (87.8% saved)

prune36.0ms (0.3%)

Memory

12.8MiB live, 87.9MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	912	21	933
Fresh	6	3	9
Picked	3	2	5
Done	0	1	1
Total	921	27	948

Accuracy

100.0%

Counts

948 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (.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 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (.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)))))
▶	97.8%	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) 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)))))
▶	99.9%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
	99.6%	(.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))
	99.9%	(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) #s(literal 2 binary64))
	60.8%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.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))))))
	98.9%	(.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))
	99.9%	(.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
✓	5.4%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	98.2%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (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)))))
▶	99.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps))))
	99.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))) (cos.f64 x)))
✓	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)))))
▶	97.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (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)))))
	97.7%	#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)))))
	97.3%	#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)))))
	96.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(literal 1 binary64))))
	98.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))
	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))
	56.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (.f64 (/.f64 (neg.f64 (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) eps)))
	97.7%	#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)))
	97.7%	#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)))
▶	97.6%	#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 1 373 to 911 computations (33.6% saved)

simplify154.0ms (1.2%)

Memory

3.8MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	335
0	74	329
1	121	311
2	224	311
3	480	311
4	1669	311
5	4743	311
6	7963	311
0	8399	307

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.1%)

Memory

1.3MiB live, 159.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.0234375	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.02734375	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.0641035843812187	(cos.f64 (+.f64 eps x))
accuracy	0.0234375	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) 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)))))
accuracy	0.02734375	(.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	0.0641035843812187	(cos.f64 (+.f64 eps x))
accuracy	1.422950161116378	#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.01953125	(/.f64 eps #s(approx (pow (cos x) 2) (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))))
accuracy	0.6752407199598327	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (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)))))
accuracy	1.2325532825985672	#s(approx (pow (cos x) 2) (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)))
accuracy	0.0	(fma.f64 (*.f64 x x) eps eps)
accuracy	0.0	(*.f64 x x)
accuracy	0.6752407199598327	#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	1.385657578269169	#s(approx (/ eps (pow (cos x) 2)) (fma.f64 (*.f64 x x) eps eps))
accuracy	0.0	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps))))
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 x))
accuracy	0.015625	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
accuracy	0.0641035843812187	(cos.f64 (+.f64 x eps))

Samples

99.0ms	249×	0	valid
4.0ms	7×	1	valid

Compiler

Compiled 234 to 40 computations (82.9% saved)

Precisions

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

ival-mult: 17.0ms (25.3% of total)

ival-div: 14.0ms (20.9% of total)

ival-add: 9.0ms (13.4% of total)

const: 7.0ms (10.4% of total)

ival-sub: 6.0ms (8.9% of total)

ival-sin: 5.0ms (7.5% of total)

ival-cos: 5.0ms (7.5% of total)

ival-pow2: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series38.0ms (0.3%)

Memory

0.9MiB live, 38.0MiB allocated

Counts

23 → 69

Calls

Call 1

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

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)
(+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin 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)
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)))
(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)))))))))
(+ (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))))
1/3
(+ 1/3 (* -2/45 (pow x 2)))
(+ 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)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos x))
(/ eps (pow (cos x) 2))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* -2/45 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/45 (/ 1 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 2/45 (/ 1 (pow x 4)))))
(pow (cos x) 2)
(* (cos x) (cos (+ eps x)))
(cos (+ eps x))
(* -2/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(cos x)
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(cos (- eps (* -1 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 (cos x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* 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))))
(* eps (+ 1 (pow 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 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))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (sin eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ 0 eps) (/ (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (cos (+ x eps)) (+ (* -2/45 (* x x)) 1/3) (cos x) (cos x))
3.0ms	x	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (sin eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ 0 eps) (/ (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (cos (+ x eps)) (+ (* -2/45 (* x x)) 1/3) (cos x) (cos x))
3.0ms	eps	@	-inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (sin eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ 0 eps) (/ (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (cos (+ x eps)) (+ (* -2/45 (* x x)) 1/3) (cos x) (cos x))
2.0ms	x	@	-inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (sin eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ 0 eps) (/ (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (cos (+ x eps)) (+ (* -2/45 (* x x)) 1/3) (cos x) (cos x))
2.0ms	eps	@	inf	((* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ (/ (sin eps) (cos x)) (cos (+ x eps))) (/ (sin eps) (cos x)) (sin eps) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (+ (* (* x x) eps) eps) (* x x) (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/ eps (pow (cos x) 2)) (pow (cos x) 2) (+ 0 eps) (/ (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x))) (sin (+ 0 eps)) (* (cos (+ eps x)) (cos x)) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (cos (+ x eps)) (+ (* -2/45 (* x x)) 1/3) (cos x) (cos x))

simplify166.0ms (1.3%)

Memory

5.4MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1028
1	913	986
2	2799	930
0	8183	867

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

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)
(+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))
(+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin 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)
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)))
(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)))))))))
(+ (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))))
1/3
(+ 1/3 (* -2/45 (pow x 2)))
(+ 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)))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/ (sin eps) (cos x))
(/ eps (pow (cos x) 2))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* -2/45 (pow x 6))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/45 (/ 1 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 2/45 (/ 1 (pow x 4)))))
(pow (cos x) 2)
(* (cos x) (cos (+ eps x)))
(cos (+ eps x))
(* -2/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(cos x)
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(cos (- eps (* -1 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 (cos x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(* 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))))
(* eps (+ 1 (pow 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 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))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(sin (neg (* -1 eps)))
(* (cos x) (cos (- x (* -1 eps))))
(cos (- 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) (*.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)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 eps))
(+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(fma.f64 (neg.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -5/24 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) (sin.f64 eps))
(+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 eps) #s(literal -61/720 binary64)) x) (neg.f64 x) (.f64 #s(literal 5/24 binary64) (sin.f64 eps))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (sin.f64 eps))) (.f64 x x) (sin.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)
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))
(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))
(+ (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 (sin.f64 eps) x) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -2/45 (pow x 2)))
(fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 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))
(/ (sin eps) (* (cos x) (cos (+ eps x))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/ (sin eps) (cos x))
(/.f64 (sin.f64 eps) (cos.f64 x))
(/ 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)
(* -2/45 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -2/45 binary64))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/45 (/ 1 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 2/45 (/ 1 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/45 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(* -2/45 (pow x 2))
(.f64 #s(literal -2/45 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 2/45))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/45 binary64)) x) x)
(cos x)
(cos.f64 x)
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(fma.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* 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))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* 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))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) (neg.f64 eps) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(/ eps (cos x))
(/.f64 eps (cos.f64 x))
(* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 x)) (/.f64 eps (cos.f64 x)))
(* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64))) (/.f64 eps (cos.f64 x)))
(* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 eps (/.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) (cos.f64 x))) (/.f64 eps (cos.f64 x)))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(* eps (+ 1 (* (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)
(* eps (+ 1 (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(*.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) #s(literal -1 binary64)))) eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (cos.f64 x))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)
(sin (neg (* -1 eps)))
(sin.f64 eps)
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))

rewrite208.0ms (1.6%)

Memory

-24.8MiB live, 173.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	278
0	74	266
1	298	254
2	2198	254
0	8296	254

Stop Event

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

Counts

23 → 792

Calls

Call 1

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

Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 (sin.f64 eps)) #s(literal -1 binary64)) (pow.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (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(literal -1 binary64) (cos.f64 x)) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64))) (cos.f64 (+.f64 x eps))))
(.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal -1 binary64)) (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 x eps))) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 (+.f64 x eps)))) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (sin.f64 eps))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.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 eps) (cos.f64 x) (*.f64 (neg.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))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 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))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #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 eps) (cos.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 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.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 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.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 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x 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 (cos.f64 eps) (cos.f64 x)) (.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 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #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 eps) (cos.f64 x)) #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 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 eps x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))))) #s(literal 4 binary64))
(/.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 eps) (cos.f64 x)) #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 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.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 eps) (cos.f64 x) (*.f64 (neg.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))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 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))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #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 eps) (cos.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 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.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 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.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 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x 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 (cos.f64 eps) (cos.f64 x)) (.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 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/135 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64)))) (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/45 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/45 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -2/135 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64))))))
(/.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -2/135 binary64)))))
(/.f64 (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64)))) (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/135 binary64)))) (fma.f64 #s(literal -8/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal -2/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -2/45 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal -2/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/45 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/45 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 4/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 #s(literal -2/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/45 binary64) (.f64 x x)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.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)))
(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))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))

eval202.0ms (1.5%)

Memory: 16.9MiB live, 168.5MiB allocated
Compiler: Compiled 33 658 to 3 350 computations (90% saved)

prune56.0ms (0.4%)

Memory

-3.0MiB live, 120.3MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	819	16	835
Fresh	5	14	19
Picked	1	4	5
Done	0	3	3
Total	825	37	862

Accuracy

100.0%

Counts

862 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (neg.f64 (.f64 eps 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)))))
	98.2%	(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (.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 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (.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)))))
	99.9%	(/.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64)))
✓	99.9%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	97.8%	(/.f64 (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)))))
✓	61.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
	99.6%	(.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))
	60.8%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.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))))))
	98.9%	(.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))
✓	5.4%	#s(approx (+ (* (sin x) (/ 1 (neg (cos x)))) (tan (+ eps x))) #s(literal 0 binary64))
	36.4%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 #s(approx (pow (cos x) 2) (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))) (*.f64 eps eps))))
	98.2%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (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)))))
✓	99.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps))))
	99.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (/.f64 (sin.f64 eps) #s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))) (cos.f64 x)))
	99.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(approx (/ (sin eps) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 x 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)))))
✓	97.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) (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)))))
	52.8%	#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(approx (+ (* -2/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/45 binary64)) x) x)) (.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) (fma.f64 (fma.f64 #s(approx (+ (* -2/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	97.3%	#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)))))
	96.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps #s(approx (pow (cos x) 2) #s(approx (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) #s(literal 1 binary64)))))
	98.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))
	60.3%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (-.f64 (/.f64 (+.f64 x eps) #s(approx (pow (cos x) 2) (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)))) (/.f64 x #s(approx (pow (cos x) 2) (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))))))
	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))
	97.7%	#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)))
	97.7%	#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)))
✓	97.6%	#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)))
	55.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps) (.f64 (neg.f64 eps) eps)) (-.f64 (.f64 (.f64 x x) eps) eps))))
	51.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 (.f64 eps eps))) (/.f64 (neg.f64 eps) (neg.f64 (.f64 eps eps))) (.f64 (neg.f64 eps) #s(literal 1 binary64))) (.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps)))))))
	36.5%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 (.f64 eps eps))) (neg.f64 eps) (.f64 (neg.f64 eps) (neg.f64 (.f64 eps eps)))) (.f64 eps eps))))
	55.3%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) eps) eps) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps eps) (.f64 (neg.f64 eps) eps))))))
	97.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (+.f64 (fma.f64 (*.f64 x eps) x #s(literal 0 binary64)) eps)))
	97.6%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
	6.7%	#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 3 196 to 1 129 computations (64.7% saved)

regimes96.0ms (0.7%)

Memory

-19.4MiB live, 71.6MiB allocated

Counts

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

#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))

Calls

3 calls:

41.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
34.0ms	x
18.0ms	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)

regimes140.0ms (1.1%)

Memory

26.6MiB live, 63.6MiB allocated

Counts

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

Outputs

#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))

Calls

3 calls:

102.0ms	eps
18.0ms	x
17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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)

regimes69.0ms (0.5%)

Memory

-26.3MiB live, 93.1MiB allocated

Counts

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

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

Calls

3 calls:

26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms	x
20.0ms	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)

regimes40.0ms (0.3%)

Memory

22.2MiB live, 60.5MiB allocated

Counts

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

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

Calls

3 calls:

13.0ms	eps
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	x

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)

regimes42.0ms (0.3%)

Memory

-17.0MiB live, 57.9MiB allocated

Counts

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

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:

14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	x
12.0ms	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)

regimes44.0ms (0.3%)

Memory

15.8MiB live, 57.8MiB allocated

Counts

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

Calls

3 calls:

18.0ms	eps
12.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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)

regimes39.0ms (0.3%)

Memory

1.7MiB live, 76.1MiB allocated

Counts

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

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

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
12.0ms	x
11.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.2%)

Memory

12.7MiB live, 52.0MiB allocated

Counts

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

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:

9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x
8.0ms	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)

regimes20.0ms (0.1%)

Memory

-16.1MiB live, 30.4MiB allocated

Counts

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

Outputs

#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)))

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`eps`
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) 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) #s(approx (+ (* (+ (* (+ (* -2/45 (* x x)) 1/3) (* x x)) -1) (* x x)) 1) #s(literal 1 binary64)))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (+.f64 (fma.f64 (*.f64 x eps) x #s(literal 0 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))
#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 (.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)))) (/.f64 eps #s(approx (pow (cos x) 2) (fma.f64 (fma.f64 #s(approx (+ (* -2/45 (* x x)) 1/3) #s(literal 1/3 binary64)) (.f64 x x) #s(literal -1 binary64)) (.f64 x x) #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 (.f64 x x) eps) #s(literal 2/3 binary64) eps) (*.f64 x x) eps)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`eps`
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

-26.2MiB live, 11.8MiB allocated

Counts

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

17.0ms	eps
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`eps`
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 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)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))

Outputs
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) #s(approx (/ eps (pow (cos x) 2)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) 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
97.6%	1	`x`
97.6%	1	`eps`
97.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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:

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

Results

Accuracy	Segments	Branch
6.7%	1	`x`
6.7%	1	`eps`
6.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
5.4%	1	`eps`
5.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5.4%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify52.0ms (0.4%)

Memory

-10.0MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	525
1	177	471
2	297	470
3	540	470
4	1599	470
5	5279	470

Stop Event

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

soundness1.4s (10.9%)

Memory

21.4MiB live, 939.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	2746
1	1645	2582
2	5178	2467
0	8490	2327
0	305	1028
1	913	986
2	2799	930
0	8183	867
0	40	182
0	61	156
1	255	145
2	1940	145
0	8245	141
0	798	4686
1	2553	4421
0	8342	4186
0	53	500
0	101	473
1	438	386
2	3808	372
0	8241	364
0	6	16
0	10	16
1	50	16
2	402	16
3	6137	16
0	8166	16
0	157	950
1	464	884
2	1539	873
3	6077	710
0	8335	686

Stop Event

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

Compiler

Compiled 1 000 to 459 computations (54.1% saved)

preprocess79.0ms (0.6%)

Memory: -8.6MiB live, 151.9MiB allocated
Compiler: Compiled 1 090 to 280 computations (74.3% 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%)

analyze46.0ms (0.4%)

sample7.1s (53.7%)

explain144.0ms (1.1%)

preprocess30.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize28.0ms (0.2%)

series11.0ms (0.1%)

simplify193.0ms (1.5%)

rewrite177.0ms (1.3%)

eval44.0ms (0.3%)

prune19.0ms (0.1%)

simplify125.0ms (0.9%)

localize220.0ms (1.7%)

series87.0ms (0.7%)

simplify162.0ms (1.2%)

rewrite207.0ms (1.6%)

eval280.0ms (2.1%)

prune36.0ms (0.3%)

simplify182.0ms (1.4%)

localize116.0ms (0.9%)

series32.0ms (0.2%)

simplify158.0ms (1.2%)

rewrite522.0ms (4%)

eval158.0ms (1.2%)

prune36.0ms (0.3%)

simplify154.0ms (1.2%)

localize141.0ms (1.1%)

series38.0ms (0.3%)

simplify166.0ms (1.3%)

rewrite208.0ms (1.6%)

eval202.0ms (1.5%)

prune56.0ms (0.4%)

regimes96.0ms (0.7%)

regimes140.0ms (1.1%)

regimes69.0ms (0.5%)

regimes40.0ms (0.3%)

regimes42.0ms (0.3%)

regimes44.0ms (0.3%)

regimes39.0ms (0.3%)

regimes27.0ms (0.2%)

regimes20.0ms (0.1%)

regimes12.0ms (0.1%)

regimes24.0ms (0.2%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify52.0ms (0.4%)

soundness1.4s (10.9%)

preprocess79.0ms (0.6%)

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