Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze54.0ms (0.4%)

Memory

20.1MiB live, 57.0MiB 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)

sample7.3s (55.2%)

Memory

55.1MiB live, 7 459.0MiB allocated

Samples

4.5s	26 172×	0	invalid
742.0ms	5 509×	0	valid
550.0ms	2 747×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

const: 990.0ms (24.1% of total)

ival-tan: 971.0ms (23.6% of total)

ival-mult: 448.0ms (10.9% of total)

ival-<: 354.0ms (8.6% of total)

ival-<=: 322.0ms (7.8% of total)

ival-fabs: 296.0ms (7.2% of total)

ival-add: 276.0ms (6.7% of total)

ival-sub: 204.0ms (5% of total)

ival-and: 113.0ms (2.7% of total)

adjust: 75.0ms (1.8% of total)

exact: 51.0ms (1.2% of total)

ival-assert: 14.0ms (0.3% of total)

Bogosity

explain90.0ms (0.7%)

Memory

28.6MiB live, 114.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
221	5	(2.5971953834662457e-294 9.495161961132873e-297)	1	(-2.8121966795701297e-277 6.061979566476713e-279)	`(-.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	225	3
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	221	1
-	5	29

Precision

0.9778761061946902

Recall

0.9954954954954955

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	1	0
-	5	2	27

Precision?

0.9694323144104804

Recall?

1.0

Freqs

test

number	freq
0	30
1	226

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	184×	1	valid
17.0ms	326×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-tan: 11.0ms (50.5% of total)

adjust: 4.0ms (18.4% of total)

ival-add: 3.0ms (13.8% of total)

ival-sub: 3.0ms (13.8% of total)

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

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

preprocess23.0ms (0.2%)

Memory

-17.6MiB live, 20.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

7.9MiB live, 7.9MiB 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)

localize29.0ms (0.2%)

Memory

2.7MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.045074839105890746	(tan.f64 (+.f64 x eps))
accuracy	24.16709621260071	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

13.0ms	92×	1	valid
9.0ms	163×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-tan: 6.0ms (39.4% of total)

ival-sub: 5.0ms (32.8% of total)

adjust: 2.0ms (13.1% of total)

ival-add: 2.0ms (13.1% of total)

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

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

series14.0ms (0.1%)

Memory

-17.4MiB live, 18.0MiB 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
5.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
3.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify146.0ms (1.1%)

Memory

36.7MiB live, 191.5MiB 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)

rewrite176.0ms (1.3%)

Memory

-31.6MiB live, 210.7MiB 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: 7.8MiB live, 45.1MiB allocated
Compiler: Compiled 7 565 to 1 005 computations (86.7% saved)

prune11.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	265	11	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	265	12	277

Accuracy

100.0%

Counts

277 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(/.f64 (fma.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)) (neg.f64 (sin.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
▶	62.2%	(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	33.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	62.2%	(-.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))
	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	23.0%	(-.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (tan.f64 x))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.6%	#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))
▶	99.6%	#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))
	99.4%	#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 759 to 358 computations (52.8% saved)

simplify186.0ms (1.4%)

Memory

-20.3MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
cost-diff	12928	(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	5760	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
cost-diff	16512	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
cost-diff	0	(log.f64 (tan.f64 (+.f64 eps x)))
cost-diff	0	(-.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	320	(*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	128	(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
cost-diff	128	(neg.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
cost-diff	6720	(fma.f64 (*.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
cost-diff	34240	(fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1177
0	115	1141
1	214	1137
2	481	1137
3	1684	1100
4	6634	992
0	8382	975

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

localize342.0ms (2.6%)

Memory

33.4MiB live, 189.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
accuracy	0.00390625	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.010097509768442016	(sin.f64 (+.f64 eps x))
accuracy	11.149456571615664	(fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
accuracy	0.078125	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
accuracy	11.475721365636312	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
accuracy	13.785026002485445	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
accuracy	0.0	(log.f64 (tan.f64 (+.f64 eps x)))
accuracy	0.014003759768442016	(tan.f64 (+.f64 eps x))
accuracy	2.6336699494451348	(exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64)))
accuracy	11.144006778523739	(-.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (tan.f64 x))
accuracy	0.0	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(cos.f64 eps)
accuracy	0.45485464074255755	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.01171875	(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))))
accuracy	0.014003759768442016	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
accuracy	0.10546875	(.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	0.140625	(*.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

96.0ms	137×	0	invalid
62.0ms	46×	1	valid
53.0ms	72×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 2 303 to 126 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 35.0ms (19.4% of total)

ival-pow2: 34.0ms (18.8% of total)

ival-mult: 31.0ms (17.2% of total)

ival-sub: 23.0ms (12.7% of total)

ival-add: 13.0ms (7.2% of total)

ival-tan: 7.0ms (3.9% of total)

adjust: 6.0ms (3.3% of total)

ival-cos: 6.0ms (3.3% of total)

ival-sin: 6.0ms (3.3% of total)

const: 5.0ms (2.8% of total)

ival-exp: 4.0ms (2.2% of total)

ival-pow: 4.0ms (2.2% of total)

ival-neg: 4.0ms (2.2% of total)

ival-log: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series360.0ms (2.7%)

Memory

-15.1MiB live, 171.7MiB allocated

Counts

28 → 200

Calls

Call 1

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

Outputs
-2/3
(- (* -2 (pow x 2)) 2/3)
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
-1/3
(- (* -2/3 (* eps x)) 1/3)
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
(log (/ (sin eps) (cos eps)))
(+ (log (/ (sin eps) (cos eps))) (/ (* x (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps)))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* 1/2 (* x (+ (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (cos eps) (+ 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))))))) (sin eps))) (+ (* -6 (/ (* (cos eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (sin eps))) (* 2 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 3)) (pow (sin eps) 3))))))) (* 1/2 (+ (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))))
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(/ (cos eps) (* x (sin eps)))
(/ (+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 3) (* (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* -1 (+ 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))))))) (* 1/3 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (pow (sin eps) 2)))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (- (+ (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2))) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(+ (* x (- (* x (- (/ (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 (- (+ (* x (- (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (cos eps))) (+ 2/3 (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))))))) (/ (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) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -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))))))))
eps
(+ eps x)
(* -2/3 x)
(* x (- (* -17/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -124/45 (pow x 2)) 17/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* 17/9 (* (pow eps 2) x)))))))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
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(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)))))))))
(* -1 (* x (cos eps)))
(* x (+ (* -1 (cos eps)) (* x (sin eps))))
(* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))))))))
(* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (* -1/3 (* x (sin eps)))))))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))
(+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))
(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(log (/ (sin (+ eps x)) (cos (+ eps x))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(/ (cos x) (sin x))
(/ (+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x)))) (* (cos x) (cos (+ eps x))))
(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(sin (+ eps x))
x
(* x (+ 1 (/ eps x)))
(* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))
(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x))))))))))
(pow (sin x) 4)
(+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2))
(/ (cos (+ eps x)) (sin (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* -1 (* (cos (+ eps x)) (sin x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(log (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))
(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (cos x) (cos (- eps (* -1 x)))) (* (sin x) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(/ (+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x)))))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (* (cos (- eps (* -1 x))) (sin 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)))
(/ (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)))
(log (/ (sin x) (cos x)))
(+ (log (/ (sin x) (cos x))) (/ (* eps (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x)))
(+ (log (/ (sin x) (cos x))) (* eps (+ (* 1/2 (* eps (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* 2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))))
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(* eps (- (+ 1 (/ (* eps (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(/ (pow (cos x) 2) (pow (sin x) 2))
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(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
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(/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2))
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(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
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(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))))))))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(pow (cos x) 2)
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(* -1 (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (* eps (pow (sin x) 2)))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* 1/2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* eps (+ (* -1/6 (* eps (pow (sin x) 2))) (* 1/2 (* (cos x) (sin x))))) (pow (sin 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 (+ (* -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)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(log (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* (cos (- x (* -1 eps))) (sin x)))

Calls

6 calls:

Time	Variable		Point	Expression
98.0ms	x	@	inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (exp (* (log (tan (+ eps x))) 1)) (* (log (tan (+ eps x))) 1) (- (exp (* (log (tan (+ eps x))) 1)) (tan x)) (log (tan (+ eps x))) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* 1 (/ 1 (tan x))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin (+ eps x)) (+ eps x) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (pow (sin x) 4) (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (tan (+ eps x)) (/ 1 (tan (+ eps x))) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x))))
83.0ms	x	@	0	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (exp (* (log (tan (+ eps x))) 1)) (* (log (tan (+ eps x))) 1) (- (exp (* (log (tan (+ eps x))) 1)) (tan x)) (log (tan (+ eps x))) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* 1 (/ 1 (tan x))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin (+ eps x)) (+ eps x) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (pow (sin x) 4) (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (tan (+ eps x)) (/ 1 (tan (+ eps x))) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x))))
53.0ms	eps	@	inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (exp (* (log (tan (+ eps x))) 1)) (* (log (tan (+ eps x))) 1) (- (exp (* (log (tan (+ eps x))) 1)) (tan x)) (log (tan (+ eps x))) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* 1 (/ 1 (tan x))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin (+ eps x)) (+ eps x) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (pow (sin x) 4) (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (tan (+ eps x)) (/ 1 (tan (+ eps x))) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x))))
41.0ms	eps	@	0	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (exp (* (log (tan (+ eps x))) 1)) (* (log (tan (+ eps x))) 1) (- (exp (* (log (tan (+ eps x))) 1)) (tan x)) (log (tan (+ eps x))) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* 1 (/ 1 (tan x))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin (+ eps x)) (+ eps x) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (pow (sin x) 4) (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (tan (+ eps x)) (/ 1 (tan (+ eps x))) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x))))
30.0ms	x	@	-inf	((+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x))) (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2))))) (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) (+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (exp (* (log (tan (+ eps x))) 1)) (* (log (tan (+ eps x))) 1) (- (exp (* (log (tan (+ eps x))) 1)) (tan x)) (log (tan (+ eps x))) (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x)))) (* (/ 1 (tan (+ eps x))) (/ 1 (tan x))) (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ eps x))) 1)) (* 1 (/ 1 (tan x))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin (+ eps x)) (+ eps x) (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) (* (neg (+ (* (* (sin x) (+ (* (/ (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (cos x)) -1/3) (/ (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))) (cos x)))) eps) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/3) (/ (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (neg (pow (cos x) 2)))))) eps) (pow (sin x) 4) (+ (* (sin x) (sin x)) (/ (pow (sin x) 4) (pow (cos x) 2))) (tan (+ eps x)) (/ 1 (tan (+ eps x))) (* (cos (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x))))

simplify208.0ms (1.6%)

Memory

38.3MiB live, 231.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	985	9214
1	3227	8476
0	8771	8185

Stop Event

1×	iter limit
1×	node limit

Counts

200 → 198

Calls

Call 1

Inputs
-2/3
(- (* -2 (pow x 2)) 2/3)
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
-1/3
(- (* -2/3 (* eps x)) 1/3)
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* 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)))
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(log (/ (sin eps) (cos eps)))
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(/ (cos eps) (* x (sin eps)))
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(/ (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (pow (cos eps) 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) (pow (sin eps) 2))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps))) x)
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(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (- (+ (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2))) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
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(sin eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
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(+ (sin eps) (* x (cos eps)))
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(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
eps
(+ eps x)
(* -2/3 x)
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(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2764/945 (pow x 2)) 124/45)) 17/9)) 2/3))
(* 1/3 eps)
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(+ (* 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))))
(pow x 2)
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (cos eps) (sin eps))
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(cos eps)
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(* -1 (* x (cos eps)))
(* x (+ (* -1 (cos eps)) (* x (sin eps))))
(* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (* x (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))))))))
(* x (+ (* -1 (cos eps)) (* x (+ (sin eps) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (* -1/3 (* x (sin eps)))))))))
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(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* eps (* (sin x) (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 3))) (* -2/3 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (cos x)))))))))
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(log (/ (sin (+ eps x)) (cos (+ eps x))))
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(/ (* (cos x) (cos (+ eps x))) (* (sin x) (sin (+ eps x))))
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(/ (cos x) (sin x))
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(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(sin (+ eps x))
x
(* x (+ 1 (/ eps x)))
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(* -1 (* eps (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (+ (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 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)
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(/ (cos (+ eps x)) (sin (+ eps x)))
(* (cos x) (cos (+ eps x)))
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(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
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(/ (* (sin x) (* (sin (- eps (* -1 x))) (- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (* (cos x) (cos (- eps (* -1 x)))) (* (sin x) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
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(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* -1 (* (cos (- eps (* -1 x))) (sin x)))
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(* -1 (+ (* -1 (/ (+ (/ (pow (sin x) 4) (pow (cos x) 2)) (pow (sin x) 2)) (pow (cos x) 2))) (* -1/3 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(- (* -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)))
(/ (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)))
(log (/ (sin x) (cos x)))
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(/ (pow (cos x) 2) (pow (sin x) 2))
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(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
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(/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2))
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(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
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(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* 1/2 (* (cos x) (sin x))) (* eps (+ (* -1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin 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))))))))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
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(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
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(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* -1 (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (* eps (pow (sin x) 2)))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* 1/2 (* eps (* (cos x) (sin x)))) (pow (sin x) 2))))
(+ (* -1 (* (cos x) (sin x))) (* eps (+ (* eps (+ (* -1/6 (* eps (pow (sin x) 2))) (* 1/2 (* (cos x) (sin x))))) (pow (sin 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 (+ (* -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)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(log (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* -1 (* (cos (- x (* -1 eps))) (sin x)))

Outputs
-2/3
#s(literal -2/3 binary64)
(- (* -2 (pow x 2)) 2/3)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2/3 binary64))
(- (* (pow x 2) (- (* -37/12 (pow x 2)) 2)) 2/3)
(fma.f64 (fma.f64 #s(literal -37/12 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal -2/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -154/45 (pow x 2)) 37/12)) 2)) 2/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -154/45 binary64) (.f64 x x) #s(literal -37/12 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -2/3 (* eps x)) 1/3)
(fma.f64 (*.f64 eps x) #s(literal -2/3 binary64) #s(literal -1/3 binary64))
(- (* x (+ (* -4/3 x) (* -2/3 eps))) 1/3)
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x (*.f64 #s(literal -2/3 binary64) eps)) x #s(literal -1/3 binary64))
(- (* x (+ (* -2/3 eps) (* x (- (* -17/9 (* eps x)) 4/3)))) 1/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/9 binary64) (.f64 eps x) #s(literal -4/3 binary64)) x (.f64 #s(literal -2/3 binary64) eps)) x #s(literal -1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/3 (* eps x)))
(fma.f64 (*.f64 eps x) #s(literal 2/3 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/3 x) (* -2/3 eps))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) x (*.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/3 (* 17/9 (* eps x)))) (* -2/3 eps))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/9 binary64) (.f64 eps x) #s(literal 4/3 binary64)) x (.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 binary64))
1
#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 #s(literal 1/3 binary64) eps) (.f64 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 (.f64 #s(literal 1/3 binary64) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 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 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (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 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 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 (+.f64 #s(literal 1 binary64) (/.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 (* (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 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.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 (* 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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (+.f64 #s(literal 1 binary64) (/.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)))
(log (/ (sin eps) (cos eps)))
(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (log (/ (sin eps) (cos eps))) (/ (* x (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps)))
(fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (sin.f64 eps)) (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* 1/2 (* x (+ (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (sin.f64 eps))) x (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (cos eps) (+ 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))))))) (sin eps))) (+ (* -6 (/ (* (cos eps) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (sin eps))) (* 2 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 3)) (pow (sin eps) 3))))))) (* 1/2 (+ (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal -6 binary64) (fma.f64 (cos.f64 eps) (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 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))) (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 eps)))) (.f64 (.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (sin.f64 eps))) x (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (* x (+ (* x (+ (* -1 (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (+ (* 1/3 (/ (sin eps) (cos eps))) (+ (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (* (sin eps) (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (cos eps)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
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(* -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)))))))))
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(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (.f64 (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/ (* (cos x) (cos (- x (* -1 eps)))) (* (sin x) (sin (- x (* -1 eps)))))
(*.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 (+.f64 eps x))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (cos (- x (* -1 eps))) (sin x)))
(*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))

rewrite206.0ms (1.5%)

Memory

-12.4MiB live, 267.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	590
0	107	536
1	461	451
2	3844	433
0	8342	424

Stop Event

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

Counts

28 → 851

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (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 (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 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (cos.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal -1/27 binary64) (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.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 (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))) (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 (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))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (cos.f64 x)) (/.f64 (-.f64 (pow.f64 (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 (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 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.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 (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))) (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 (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))) (fma.f64 (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal -1/27 binary64) (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (/.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 (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 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (-.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))) (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 (neg.f64 (/.f64 (-.f64 (pow.f64 (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 (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 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal -1/27 binary64) (pow.f64 (/.f64 (cos.f64 x) (fma.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.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 (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))) (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 (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)))))
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(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 eps x) x)) (cos.f64 (-.f64 x (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))))
(.f64 (.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))

eval179.0ms (1.3%)

Memory: 2.5MiB live, 270.1MiB allocated
Compiler: Compiled 70 536 to 5 218 computations (92.6% saved)

prune34.0ms (0.3%)

Memory

26.8MiB live, 88.0MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	976	12	988
Fresh	5	1	6
Picked	5	0	5
Done	0	1	1
Total	986	14	1 000

Accuracy

100.0%

Counts

1 000 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.7%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	100.0%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	100.0%	(*.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
▶	97.9%	#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)))

Compiler

Compiled 559 to 386 computations (30.9% saved)

simplify329.0ms (2.5%)

Memory

-324.3MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (+.f64 eps #s(literal 0 binary64)))
cost-diff	0	(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x))))
cost-diff	0	(*.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
cost-diff	192	(+.f64 eps #s(literal 0 binary64))
cost-diff	0	(tan.f64 (+.f64 eps x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
cost-diff	0	#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)))
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	#s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	246
0	74	222
1	111	220
2	170	220
3	252	217
4	329	217
5	384	217
6	482	217
7	563	217
8	704	217
9	816	217
10	909	217
11	1025	217
12	1362	217
13	1544	217
14	1576	217
15	1612	217
16	1626	217
17	1626	217
0	1626	209

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize157.0ms (1.2%)

Memory

7.9MiB live, 207.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))
accuracy	0.0078125	(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x))))
accuracy	0.0382084363809557	(cos.f64 (+.f64 (+.f64 eps x) x))
accuracy	0.27734375	(+.f64 (+.f64 eps x) x)
accuracy	0.045074839105890746	(tan.f64 (+.f64 eps x))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))
accuracy	0.3125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))))
accuracy	24.16709621260071	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
accuracy	0.0	(tan.f64 eps)
accuracy	1.3626710020645374	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.00390625	(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)
accuracy	0.17103941837995798	#s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
accuracy	1.3626710020645374	#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)))
accuracy	0.0	#s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps))
accuracy	0.0078125	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
accuracy	0.01953125	(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
accuracy	0.020499716849389005	(cos.f64 (+.f64 eps x))

Samples

67.0ms	93×	1	valid
60.0ms	161×	0	valid
2.0ms	1×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 463 to 92 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 20.0ms (18.8% of total)

adjust: 17.0ms (16% of total)

ival-cos: 17.0ms (16% of total)

ival-tan: 13.0ms (12.2% of total)

ival-add: 11.0ms (10.4% of total)

ival-div: 10.0ms (9.4% of total)

ival-sin: 9.0ms (8.5% of total)

const: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory

-0.1MiB live, 36.9MiB allocated

Counts

23 → 134

Calls

Call 1

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

Outputs
(sin eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (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))))
(/ (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)))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin 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)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* x (- (/ (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 (- (+ (* x (- (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (cos eps))) (+ 2/3 (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* 2 x))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(* (cos x) (cos (+ eps x)))
(cos (+ eps x))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(/ (+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x)))) (* (cos x) (cos (+ eps x))))
(* 2 x)
(* x (+ 2 (/ eps x)))
(cos (+ eps (* 2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(/ (+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(cos (- eps (* -2 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (pow (cos x) 2) (pow (sin x) 2))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* 1/2 (* (cos x) (sin x))) (* eps (+ (* -1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(cos 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))))
(* 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))))))))
1
(+ 1 (* 1/3 (pow eps 2)))
(pow eps 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) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (+ (* 1/2 (/ (sin x) (cos x))) (* eps (- (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/6 (+ (* -1 (/ (* (sin x) (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3)))))))))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos 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))))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(* eps (+ 1 (* 2 (/ x eps))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(* (cos x) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(sin (neg (* -1 eps)))
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	eps	@	0	((+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin eps) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (* eps eps) 1/3) 1) (* eps eps) (- (tan (+ x eps)) (tan x)) (tan eps) (/ 1 (/ 1 (tan (+ eps x)))) (- (/ 1 (/ 1 (tan (+ eps x)))) (tan x)) (/ 1 (tan (+ eps x))) (tan (+ eps x)) (+ eps 0) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (sin (+ eps 0)) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x))))
5.0ms	eps	@	-inf	((+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin eps) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (* eps eps) 1/3) 1) (* eps eps) (- (tan (+ x eps)) (tan x)) (tan eps) (/ 1 (/ 1 (tan (+ eps x)))) (- (/ 1 (/ 1 (tan (+ eps x)))) (tan x)) (/ 1 (tan (+ eps x))) (tan (+ eps x)) (+ eps 0) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (sin (+ eps 0)) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x))))
5.0ms	eps	@	inf	((+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin eps) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (* eps eps) 1/3) 1) (* eps eps) (- (tan (+ x eps)) (tan x)) (tan eps) (/ 1 (/ 1 (tan (+ eps x)))) (- (/ 1 (/ 1 (tan (+ eps x)))) (tan x)) (/ 1 (tan (+ eps x))) (tan (+ eps x)) (+ eps 0) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (sin (+ eps 0)) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x))))
4.0ms	x	@	inf	((+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin eps) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (* eps eps) 1/3) 1) (* eps eps) (- (tan (+ x eps)) (tan x)) (tan eps) (/ 1 (/ 1 (tan (+ eps x)))) (- (/ 1 (/ 1 (tan (+ eps x)))) (tan x)) (/ 1 (tan (+ eps x))) (tan (+ eps x)) (+ eps 0) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (sin (+ eps 0)) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x))))
3.0ms	x	@	-inf	((+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin eps) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (* eps eps) 1/3) 1) (* eps eps) (- (tan (+ x eps)) (tan x)) (tan eps) (/ 1 (/ 1 (tan (+ eps x)))) (- (/ 1 (/ 1 (tan (+ eps x)))) (tan x)) (/ 1 (tan (+ eps x))) (tan (+ eps x)) (+ eps 0) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (sin (+ eps 0)) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (cos (+ eps x)) (cos x))) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (+ eps x) x) (cos (+ (+ eps x) x)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x))))

simplify175.0ms (1.3%)

Memory

15.2MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	4086
1	2025	3665
2	7020	3637
0	8273	3473

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 133

Calls

Call 1

Inputs
(sin eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(+ (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))))
(/ (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)))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin 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)))
(+ (* x (+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (* -2 (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(* 1/2 (/ (sin eps) (cos eps)))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* -1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* 1/2 (/ (sin eps) (cos eps))) (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)))))) (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))
(+ (* x (- (* x (- (/ (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 (- (+ (* x (- (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (cos eps))) (+ 2/3 (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2))))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* 2 x))
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(* 2 (cos eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(+ (* 2 (cos eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (* 2 (cos eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(* (cos x) (cos (+ eps x)))
(cos (+ eps x))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(/ (+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x)))) (* (cos x) (cos (+ eps x))))
(* 2 x)
(* x (+ 2 (/ eps x)))
(cos (+ eps (* 2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x)))))
(* (cos x) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(/ (+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x))))) (* (cos x) (cos (- eps (* -1 x)))))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(cos (- eps (* -2 x)))
(+ (cos eps) (cos (- eps (* -2 x))))
(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (pow (cos x) 2) (pow (sin x) 2))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* 1/2 (* (cos x) (sin x))) (* eps (+ (* -1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin 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))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(cos 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))))
(* 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))))))))
1
(+ 1 (* 1/3 (pow eps 2)))
(pow eps 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) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 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))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(* 2 (/ eps (+ 1 (cos (* 2 x)))))
(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(/ eps (+ 1 (cos (* 2 x))))
(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2)))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
(/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (+ (* 1/2 (/ (sin x) (cos x))) (* eps (- (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/6 (+ (* -1 (/ (* (sin x) (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3)))))))))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos 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))))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(* eps (+ 1 (* 2 (/ x eps))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(* (cos x) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(* 2 (/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))))
(/ (sin (neg (* -1 eps))) (+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps)))))
(sin (neg (* -1 eps)))
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (neg (* -1 eps))) (cos (- (* 2 x) (* -1 eps))))

Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(fma.f64 #s(literal 0 binary64) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x #s(literal 0 binary64)) x (sin.f64 eps))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 (neg.f64 x) (fma.f64 (cos.f64 eps) x (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (sin.f64 eps)) x (neg.f64 (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 eps)) x (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps))
(/ (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)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 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 (- 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)) (/.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)))
(+ (* 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 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64))))) 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)))
(/ (cos eps) (sin eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (.f64 (+.f64 x (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.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 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 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 (cos.f64 eps) (sin.f64 eps)))) x (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) x (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(fma.f64 (fma.f64 (neg.f64 (pow.f64 (cos.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 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.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 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (.f64 (.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.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 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 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 (cos.f64 eps) (sin.f64 eps)))) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (cos.f64 eps) (sin.f64 eps))))) x (fma.f64 (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.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 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 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 (cos.f64 eps) (sin.f64 eps)))))) x)) x (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+ (* x (+ (* -2 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1 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 (+ (* -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))) (fma.f64 #s(literal 1 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)))
(* 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 (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))) #s(literal 1/2 binary64))
(+ (* 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))))))
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(fma.f64 #s(literal 2 binary64) x eps)
(+ (cos eps) (* -2 (* x (sin eps))))
(fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps))
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(* 2 (cos eps))
(*.f64 #s(literal 2 binary64) (cos.f64 eps))
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eps
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(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
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(cos x)
(cos.f64 x)
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
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1
#s(literal 1 binary64)
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(pow eps 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)))
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(* 2 (/ eps (+ 1 (cos (* 2 x)))))
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(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
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(* 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)))))))
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(/ eps (+ 1 (cos (* 2 x))))
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(* eps (+ (/ 1 (+ 1 (cos (* 2 x)))) (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))))
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(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (* -1 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (/ 1 (+ 1 (cos (* 2 x))))))
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(* eps (+ (* 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))))))
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(/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2))
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(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 x)))) eps (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (+ (* eps (- (+ (* -1/2 (/ (sin x) (cos x))) (+ (* 1/2 (/ (sin x) (cos x))) (* eps (- (* -1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1/6 (+ (* -1 (/ (* (sin x) (- (+ (* -1/2 (/ (sin x) (cos x))) (* 1/2 (/ (sin x) (cos x)))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3)))))))))) (+ (* -1 (/ (* (sin x) (- (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (cos x))) (* -1/2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (pow (cos x) 2)))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (sin x) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (cos x) 3))))) (/ (sin x) (cos x))))
(-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.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))) #s(literal -1/6 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 x)))) (cos.f64 x)) (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 x)))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(cos (* 2 x))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))
(fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal -2 binary64) x)))
(+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 (.f64 #s(literal -2 binary64) x))) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal -2 binary64) x)))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (cos.f64 (.f64 #s(literal -2 binary64) x)))
(+ 1 (cos (* 2 x)))
(+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
(+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))
(fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(* 1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)
(* eps (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x 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)))
(sin (neg (* -1 eps)))
(sin.f64 eps)
(/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (* (cos x) (cos (- x (* -1 eps)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 x eps)) (.f64 (cos.f64 x) (sin.f64 (+.f64 x 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)
(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))

rewrite201.0ms (1.5%)

Memory

-5.1MiB live, 198.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	216
0	74	188
1	307	168
2	2459	168
0	8776	163

Stop Event

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

Counts

23 → 721

Calls

Call 1

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

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

eval123.0ms (0.9%)

Memory: 11.6MiB live, 172.1MiB allocated
Compiler: Compiled 24 856 to 3 526 computations (85.8% saved)

prune26.0ms (0.2%)

Memory

-31.9MiB live, 53.6MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	801	8	809
Fresh	2	6	8
Picked	1	4	5
Done	0	1	1
Total	804	19	823

Accuracy

100.0%

Counts

823 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
	99.7%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	100.0%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
✓	100.0%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.2%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	97.9%	#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)))
▶	49.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
▶	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))

Compiler

Compiled 777 to 533 computations (31.4% saved)

simplify108.0ms (0.8%)

Memory

12.1MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	367
0	88	363
1	140	345
2	251	338
3	377	326
4	656	317
5	1374	317
6	5159	316
0	8255	312

Stop Event

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

Calls

Call 1

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

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

localize204.0ms (1.5%)

Memory

21.2MiB live, 177.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 eps)
accuracy	0.00390625	(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))
accuracy	0.0078125	(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
accuracy	0.0382084363809557	(cos.f64 (fma.f64 #s(literal 2 binary64) x eps))
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0	(cos.f64 (*.f64 #s(literal -2 binary64) x))
accuracy	0.015625	(/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
accuracy	0.5385343949002876	#s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.17103941837995798	#s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps)))
accuracy	1.3626710020645374	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
accuracy	30.863694064185903	(.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))
accuracy	0.00390625	(.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)
accuracy	0.17103941837995798	#s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps))
accuracy	0.30402862962381094	#s(approx (+ (* (* eps eps) 1/3) 1) #s(literal 1 binary64))
accuracy	1.3626710020645374	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))
accuracy	0.00390625	(+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))
accuracy	0.0078125	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
accuracy	0.0382084363809557	(cos.f64 (fma.f64 #s(literal 2 binary64) x eps))
accuracy	24.20636342122811	(-.f64 x (+.f64 x eps))

Samples

112.0ms	92×	1	valid
59.0ms	164×	0	valid

Compiler

Compiled 658 to 123 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-add: 43.0ms (33% of total)

ival-mult: 20.0ms (15.4% of total)

ival-cos: 18.0ms (13.8% of total)

ival-div: 16.0ms (12.3% of total)

adjust: 12.0ms (9.2% of total)

ival-sin: 9.0ms (6.9% of total)

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

const: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series42.0ms (0.3%)

Memory

-16.4MiB live, 28.9MiB allocated

Counts

27 → 127

Calls

Call 1

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

Outputs
(* -1 eps)
(cos (neg eps))
(* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps)))))
(+ (* 2 (* x (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))) (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))))))) (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))))))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (+ (cos eps) (cos (neg eps))))) (+ (* -1/2 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -1/6 (/ (cos eps) (+ (cos eps) (cos (neg eps))))))) (+ (* -2 (/ (* (cos eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))) (+ (cos eps) (cos (neg eps))))) (* 4/3 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))))) (* 2 (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))))))))
(sin eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos 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)))
(+ (* 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))))))
(* 1/2 eps)
(+ (* 1/2 eps) (* 1/2 (* eps (pow x 2))))
(+ (* 1/2 eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
(+ (* 1/2 eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 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)))))
(cos eps)
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(+ (cos eps) (cos (neg eps)))
(+ (cos eps) (+ (cos (neg eps)) (* -2 (* x (sin eps)))))
(+ (cos eps) (+ (cos (neg eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps))))))
(+ (cos eps) (+ (cos (neg eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* 2 (/ (+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x)))) (+ (cos (neg eps)) (cos (+ eps (* 2 x))))))
(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(/ eps (+ 1 (cos (* -2 x))))
(+ 1 (cos (* -2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(cos (+ eps (* 2 x)))
(+ (cos (neg eps)) (cos (+ eps (* 2 x))))
(cos (* -2 x))
(* 2 (/ (+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x))))) (+ (cos (neg eps)) (cos (- eps (* -2 x))))))
(+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(+ (cos eps) (cos (- eps (* -2 x))))
(cos (- eps (* -2 x)))
(+ (cos (neg eps)) (cos (- eps (* -2 x))))
(+ 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)))
(* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x)))))
(+ (* 2 (* eps (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2)))))) (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))))
(+ (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))) (* eps (+ (* 2 (* eps (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2)))))) (* 2 (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))))))
(+ (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))) (* eps (+ (* 2 (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (* eps (+ (* 2 (* eps (- (+ (* -1/6 (/ (pow (cos x) 2) (+ 1 (cos (* 2 x))))) (* -1/6 (/ (pow (sin x) 2) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (- (* -1/2 (cos (* 2 x))) 1/2) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))))))) (* 2 (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2))))))))))
(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (pow (cos x) 2) (pow (sin x) 2))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* 1/2 (* (cos x) (sin x))) (* eps (+ (* -1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(* 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
(* 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))))))))
(+ 1 (* 1/3 (pow eps 2)))
(/ 1 eps)
(/ (+ 1 (* 1/3 (pow eps 2))) eps)
(* 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))))))
(* 2 eps)
(* eps (+ 2 (* -1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (- (* 1/60 (pow eps 2)) 1/3))))
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/60 (* -1/2520 (pow eps 2)))) 1/3))))
(* 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 (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))))))
(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)))))
(pow eps 2)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 eps)
(* eps (+ 1/3 (/ 1 (pow eps 2))))
(* 2 (sin eps))
(cos (* -1 eps))
(* 2 (/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* 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)))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))
(+ (cos eps) (cos (- (* 2 x) (* -1 eps))))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	((- x (+ x eps)) (cos (- x (+ x eps))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (/ (+ (* 1/3 (* eps eps)) 1) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* 1/3 (* eps eps)) 1) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/ eps (+ (cos (* -2 x)) 1)) (+ (cos (* -2 x)) 1) (/ (* 2 (sin eps)) (+ (cos (+ (* 2 x) eps)) (cos eps))) (* 2 (sin eps)) (sin eps) (+ (cos (+ (* 2 x) eps)) (cos eps)) (cos (+ (* 2 x) eps)) (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) (* (/ (+ (* 1/3 (* eps eps)) 1) eps) (* eps eps)) (* eps eps) (cos (* -2 x)) (* -2 x) (cos eps))
7.0ms	eps	@	-inf	((- x (+ x eps)) (cos (- x (+ x eps))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (/ (+ (* 1/3 (* eps eps)) 1) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* 1/3 (* eps eps)) 1) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/ eps (+ (cos (* -2 x)) 1)) (+ (cos (* -2 x)) 1) (/ (* 2 (sin eps)) (+ (cos (+ (* 2 x) eps)) (cos eps))) (* 2 (sin eps)) (sin eps) (+ (cos (+ (* 2 x) eps)) (cos eps)) (cos (+ (* 2 x) eps)) (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) (* (/ (+ (* 1/3 (* eps eps)) 1) eps) (* eps eps)) (* eps eps) (cos (* -2 x)) (* -2 x) (cos eps))
6.0ms	eps	@	inf	((- x (+ x eps)) (cos (- x (+ x eps))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (/ (+ (* 1/3 (* eps eps)) 1) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* 1/3 (* eps eps)) 1) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/ eps (+ (cos (* -2 x)) 1)) (+ (cos (* -2 x)) 1) (/ (* 2 (sin eps)) (+ (cos (+ (* 2 x) eps)) (cos eps))) (* 2 (sin eps)) (sin eps) (+ (cos (+ (* 2 x) eps)) (cos eps)) (cos (+ (* 2 x) eps)) (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) (* (/ (+ (* 1/3 (* eps eps)) 1) eps) (* eps eps)) (* eps eps) (cos (* -2 x)) (* -2 x) (cos eps))
5.0ms	eps	@	0	((- x (+ x eps)) (cos (- x (+ x eps))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (/ (+ (* 1/3 (* eps eps)) 1) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* 1/3 (* eps eps)) 1) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/ eps (+ (cos (* -2 x)) 1)) (+ (cos (* -2 x)) 1) (/ (* 2 (sin eps)) (+ (cos (+ (* 2 x) eps)) (cos eps))) (* 2 (sin eps)) (sin eps) (+ (cos (+ (* 2 x) eps)) (cos eps)) (cos (+ (* 2 x) eps)) (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) (* (/ (+ (* 1/3 (* eps eps)) 1) eps) (* eps eps)) (* eps eps) (cos (* -2 x)) (* -2 x) (cos eps))
4.0ms	x	@	inf	((- x (+ x eps)) (cos (- x (+ x eps))) (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (* (+ (* (* eps eps) 1/3) 1) eps) (+ (* (* eps eps) 1/3) 1) (/ (+ (* 1/3 (* eps eps)) 1) eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* 1/3 (* eps eps)) 1) (* (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) 2) (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/ eps (+ (cos (* -2 x)) 1)) (+ (cos (* -2 x)) 1) (/ (* 2 (sin eps)) (+ (cos (+ (* 2 x) eps)) (cos eps))) (* 2 (sin eps)) (sin eps) (+ (cos (+ (* 2 x) eps)) (cos eps)) (cos (+ (* 2 x) eps)) (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) (* (/ (+ (* 1/3 (* eps eps)) 1) eps) (* eps eps)) (* eps eps) (cos (* -2 x)) (* -2 x) (cos eps))

simplify162.0ms (1.2%)

Memory

11.3MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	3616
1	1835	3018
2	6233	2832
0	8276	2673

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 126

Calls

Call 1

Inputs
(* -1 eps)
(cos (neg eps))
(* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps)))))
(+ (* 2 (* x (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))) (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))))))) (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))))))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (+ (cos eps) (cos (neg eps))))) (+ (* -1/2 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -1/6 (/ (cos eps) (+ (cos eps) (cos (neg eps))))))) (+ (* -2 (/ (* (cos eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))) (+ (cos eps) (cos (neg eps))))) (* 4/3 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))))) (* 2 (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))))))))
(sin eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos 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)))
(+ (* 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))))))
(* 1/2 eps)
(+ (* 1/2 eps) (* 1/2 (* eps (pow x 2))))
(+ (* 1/2 eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
(+ (* 1/2 eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
2
(+ 2 (* -2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* 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)))))
(cos eps)
(+ (cos eps) (* -2 (* x (sin eps))))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
(+ (cos eps) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps)))))
(+ (cos eps) (cos (neg eps)))
(+ (cos eps) (+ (cos (neg eps)) (* -2 (* x (sin eps)))))
(+ (cos eps) (+ (cos (neg eps)) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps))))))
(+ (cos eps) (+ (cos (neg eps)) (* x (- (* x (+ (* -2 (cos eps)) (* 4/3 (* x (sin eps))))) (* 2 (sin eps))))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(* -2 x)
(* 2 (/ (+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x)))) (+ (cos (neg eps)) (cos (+ eps (* 2 x))))))
(+ (* -1 (* (cos (+ eps x)) (sin x))) (* (cos x) (sin (+ eps x))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x))))))
(/ (sin eps) (+ (cos eps) (cos (+ eps (* 2 x)))))
(/ eps (+ 1 (cos (* -2 x))))
(+ 1 (cos (* -2 x)))
(+ (cos eps) (cos (+ eps (* 2 x))))
(cos (+ eps (* 2 x)))
(+ (cos (neg eps)) (cos (+ eps (* 2 x))))
(cos (* -2 x))
(* 2 (/ (+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x))))) (+ (cos (neg eps)) (cos (- eps (* -2 x))))))
(+ (* -1 (* (cos (- eps (* -1 x))) (sin x))) (* (cos x) (sin (- eps (* -1 x)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))
(/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x)))))
(+ (cos eps) (cos (- eps (* -2 x))))
(cos (- eps (* -2 x)))
(+ (cos (neg eps)) (cos (- eps (* -2 x))))
(+ 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)))
(* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x)))))
(+ (* 2 (* eps (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2)))))) (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))))
(+ (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))) (* eps (+ (* 2 (* eps (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2)))))) (* 2 (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))))))
(+ (* 2 (/ (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (+ 1 (cos (* 2 x))))) (* eps (+ (* 2 (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (* eps (+ (* 2 (* eps (- (+ (* -1/6 (/ (pow (cos x) 2) (+ 1 (cos (* 2 x))))) (* -1/6 (/ (pow (sin x) 2) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (- (* -1/2 (cos (* 2 x))) 1/2) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))))))) (* 2 (- (+ (* -1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x))))) (* 1/2 (/ (* (cos x) (sin x)) (+ 1 (cos (* 2 x)))))) (+ (* -1 (/ (* (sin (* 2 x)) (- (+ (/ (pow (cos x) 2) (+ 1 (cos (* 2 x)))) (/ (pow (sin x) 2) (+ 1 (cos (* 2 x))))) (* -1 (/ (* (sin (* 2 x)) (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x))))) (/ (* (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x))) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 2))))))))))
(+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (pow (cos x) 2) (pow (sin x) 2))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* 1/2 (* (cos x) (sin x))) (* eps (+ (* -1/6 (pow (cos x) 2)) (* -1/6 (pow (sin x) 2))))))) (+ (pow (cos x) 2) (pow (sin x) 2)))) (* (cos x) (sin x))))
(* 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
(* 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))))))))
(+ 1 (* 1/3 (pow eps 2)))
(/ 1 eps)
(/ (+ 1 (* 1/3 (pow eps 2))) eps)
(* 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))))))
(* 2 eps)
(* eps (+ 2 (* -1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (- (* 1/60 (pow eps 2)) 1/3))))
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/60 (* -1/2520 (pow eps 2)))) 1/3))))
(* 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 (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))))))
(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)))))
(pow eps 2)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 eps)
(* eps (+ 1/3 (/ 1 (pow eps 2))))
(* 2 (sin eps))
(cos (* -1 eps))
(* 2 (/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* 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)))))
(* 2 (/ (sin eps) (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))
(+ (cos eps) (cos (- (* 2 x) (* -1 eps))))
(cos (- (* 2 x) (* -1 eps)))
(+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))

Outputs
(* -1 eps)
(neg.f64 eps)
(cos (neg eps))
(cos.f64 eps)
(* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* 2 (* x (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))) (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))))))) (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))) x (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64)))) #s(literal 2 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* 2 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (* x (+ (* 2 (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (* x (+ (* 2 (* x (- (+ (* -1 (/ (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))) (+ (cos eps) (cos (neg eps))))) (+ (* -1/2 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -1/6 (/ (cos eps) (+ (cos eps) (cos (neg eps))))))) (+ (* -2 (/ (* (cos eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))) (+ (cos eps) (cos (neg eps))))) (* 4/3 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2)))))))) (* 2 (- (+ (* -1 (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (/ (sin eps) (+ (cos eps) (cos (neg eps))))) (+ (* -2 (/ (* (cos eps) (sin eps)) (pow (+ (cos eps) (cos (neg eps))) 2))) (* -2 (/ (* (sin eps) (- (+ (* -1 (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (/ (cos eps) (+ (cos eps) (cos (neg eps))))) (* -2 (/ (pow (sin eps) 2) (pow (+ (cos eps) (cos (neg eps))) 2))))) (+ (cos eps) (cos (neg eps)))))))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (cos.f64 eps) (.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps))) (cos.f64 eps))) (sin.f64 eps))) (/.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))))) x (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps) (.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps))))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (+ (cos eps) (* -1 (cos eps)))))
(sin.f64 eps)
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (* -1 (sin eps))))))))
(sin.f64 eps)
(+ (sin eps) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (sin eps) (+ (* -1 (sin eps)) (* x (+ (* -1 (+ (* -1/2 (cos eps)) (* -1/6 (cos eps)))) (+ (* -1/2 (cos eps)) (* -1/6 (cos eps))))))))))))
(sin.f64 eps)
(/ (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)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.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 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.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))))) #s(literal 1/2 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 (+ (* -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 (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (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 (fma.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (.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 (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (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 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.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 (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)) (cos.f64 eps)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ (* 1/2 eps) (* 1/2 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64))
(+ (* 1/2 eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps))
(+ (* 1/2 eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/45 eps) (* 1/3 eps))))) (+ (* -1/2 eps) (* 1/6 eps)))) (* -1/2 eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps))
2
#s(literal 2 binary64)
(+ 2 (* -2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 2 (cos eps))
(*.f64 #s(literal 2 binary64) (cos.f64 eps))
(+ (* -2 (* x (sin eps))) (* 2 (cos eps)))
(fma.f64 (.f64 (sin.f64 eps) x) #s(literal -2 binary64) (.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 #s(literal -2 binary64) (sin.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 4/3 binary64) (.f64 #s(literal -2 binary64) (cos.f64 eps))) x)) x (.f64 #s(literal 2 binary64) (cos.f64 eps)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -2 (* x (sin eps))))
(fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -2 binary64) (cos.f64 eps))
(+ (cos eps) (* x (- (* -2 (* x (cos eps))) (* 2 (sin eps)))))
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(* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
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(* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) eps (/.f64 (tan.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps)
(* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))
(.f64 (fma.f64 (fma.f64 (.f64 eps (.f64 #s(literal -2 binary64) eps)) (-.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))) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 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))))) (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 (-.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))) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 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))))) (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))))
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* eps (+ 2 (* -1/3 (pow eps 2))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 2 (* (pow eps 2) (- (* 1/60 (pow eps 2)) 1/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/60 (* -1/2520 (pow eps 2)))) 1/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 eps eps) #s(literal 1/60 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 2 binary64)) eps)
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps)
(+ 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 (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/6 binary64) eps) (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)))
(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 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal 2 binary64) x)))
(+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
(fma.f64 (fma.f64 (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/6 binary64) eps) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)))) eps (cos.f64 (.f64 #s(literal 2 binary64) x)))
(pow eps 2)
(*.f64 eps eps)
(* 1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))
(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(* eps (+ 1/3 (/ 1 (pow eps 2))))
(fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (*.f64 eps eps)))
(* 2 (sin eps))
(*.f64 #s(literal 2 binary64) (sin.f64 eps))
(cos (* -1 eps))
(cos.f64 eps)
(* 2 (/ (+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps))))) (+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))))
(.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (.f64 (cos.f64 x) (sin.f64 (+.f64 eps x)))) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) #s(literal 2 binary64))
(+ (* -1 (* (cos (- x (* -1 eps))) (sin x))) (* (cos x) (sin (- x (* -1 eps)))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (sin.f64 (+.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)))
(* 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)))
(* 2 (/ (sin eps) (+ (cos 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)))
(+ (cos eps) (cos (- (* 2 x) (* -1 eps))))
(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))
(cos (- (* 2 x) (* -1 eps)))
(cos.f64 (fma.f64 #s(literal 2 binary64) x eps))
(+ (cos (* -1 eps)) (cos (- (* 2 x) (* -1 eps))))
(+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))

rewrite364.0ms (2.7%)

Memory

-15.5MiB live, 179.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	318
0	88	302
1	415	241
2	3618	236
0	9255	236

Stop Event

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

Counts

27 → 664

Calls

Call 1

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

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

eval102.0ms (0.8%)

Memory: 1.5MiB live, 155.4MiB allocated
Compiler: Compiled 30 876 to 3 424 computations (88.9% saved)

prune31.0ms (0.2%)

Memory

23.9MiB live, 63.0MiB allocated

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	794	12	806
Fresh	2	7	9
Picked	2	3	5
Done	0	5	5
Total	798	27	825

Accuracy

100.0%

Counts

825 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
✓	100.0%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
	99.7%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
✓	100.0%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	99.5%	(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
✓	62.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	51.1%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
✓	99.2%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
	98.8%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	98.8%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
	98.8%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
	98.4%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
	98.9%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
	98.9%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	98.8%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
	98.5%	(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
	5.4%	#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
✓	97.9%	#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)))
	47.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
✓	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))

Compiler

Compiled 2 101 to 827 computations (60.6% saved)

regimes53.0ms (0.4%)

Memory

-3.1MiB live, 35.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/.f64 (/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (*.f64 (log.f64 (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (tan.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))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (tan.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))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (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 (fma.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)) (neg.f64 (sin.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 (.f64 (sin.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x)))) eps (fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) eps) eps (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))) eps))

Outputs

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

Calls

3 calls:

28.0ms	eps
12.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes44.0ms (0.3%)

Memory

-16.9MiB live, 37.6MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))
(/.f64 (/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(*.f64 (/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (+.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))

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

Calls

3 calls:

25.0ms	eps
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes63.0ms (0.5%)

Memory

-7.1MiB live, 28.0MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Outputs

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

Calls

3 calls:

46.0ms	eps
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes27.0ms (0.2%)

Memory

-5.9MiB live, 30.9MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 eps x)))) (tan.f64 x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`eps`
99.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes58.0ms (0.4%)

Memory

-4.6MiB live, 32.8MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 (.f64 eps eps) (.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Outputs
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (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:

44.0ms	eps
6.0ms	x
6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`eps`
99.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory

-27.0MiB live, 20.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

Outputs

(*.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos (* -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 eps #s(literal -17/90 binary64)) (*.f64 #s(literal 1/3 binary64) eps)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))

Calls

3 calls:

10.0ms	eps
5.0ms	x
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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)

regimes14.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal -2 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`eps`
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.1%)

Memory

-24.7MiB live, 13.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps (*.f64 #s(literal 1 binary64) eps))))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 2 binary64))))) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (/ (+ ( 1/3 (* eps eps)) 1) eps) (fma.f64 #s(literal 1/3 binary64) eps (/.f64 eps (.f64 eps eps)))) (.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps) (*.f64 eps eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))

Outputs

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

Calls

3 calls:

8.0ms	eps
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`eps`
98.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (*.f64 #s(approx (+ (* (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))

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

Calls

3 calls:

2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify70.0ms (0.5%)

Memory

-5.5MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	418
1	165	408
2	243	406
3	354	404
4	611	404
5	1286	404
6	3526	404
7	6321	404

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))

Outputs
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (-.f64 x (+.f64 x eps))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) eps #s(literal 0 binary64)) eps #s(literal 1 binary64)) eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (sin.f64 eps)) (.f64 (+.f64 #s(approx (cos (- x (+ x eps))) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1/2 binary64)))
(/.f64 #s(approx (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 (cos.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/90 binary64)) (.f64 #s(literal 1/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(approx (cos ( -2 x)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) (/.f64 eps #s(approx (+ (cos ( -2 x)) 1) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal -2 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(approx (/ (sin (+ eps 0)) (+ (cos (+ eps 0)) (cos (+ (+ eps x) x)))) #s(approx (/ eps (+ (cos ( -2 x)) 1)) (.f64 (fma.f64 (.f64 x x) eps eps) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
#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 (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 #s(approx (+ ( (* eps eps) 1/3) 1) #s(literal 1 binary64)) eps)))
#s(approx (/ (+ (* (sin (+ eps x)) (cos x)) (* (cos (+ eps x)) (neg (sin x)))) (* (+ (cos (- x (+ x eps))) (cos (+ (* 2 x) eps))) 1/2)) #s(literal 0 binary64))

soundness1.3s (9.6%)

Memory

21.2MiB live, 813.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	590
0	107	536
1	461	451
2	3844	433
0	8342	424
0	631	4086
1	2025	3665
2	7020	3637
0	8273	3473
0	588	3616
1	1835	3018
2	6233	2832
0	8276	2673
0	985	9214
1	3227	8476
0	8771	8185
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
0	49	216
0	74	188
1	307	168
2	2459	168
0	8776	163

Stop Event

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

Compiler

Compiled 877 to 464 computations (47.1% saved)

preprocess102.0ms (0.8%)

Memory: 7.5MiB live, 161.8MiB allocated
Compiler: Compiled 908 to 280 computations (69.2% 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%)

analyze54.0ms (0.4%)

sample7.3s (55.2%)

explain90.0ms (0.7%)

preprocess23.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize29.0ms (0.2%)

series14.0ms (0.1%)

simplify146.0ms (1.1%)

rewrite176.0ms (1.3%)

eval44.0ms (0.3%)

prune11.0ms (0.1%)

simplify186.0ms (1.4%)

localize342.0ms (2.6%)

series360.0ms (2.7%)

simplify208.0ms (1.6%)

rewrite206.0ms (1.5%)

eval179.0ms (1.3%)

prune34.0ms (0.3%)

simplify329.0ms (2.5%)

localize157.0ms (1.2%)

series35.0ms (0.3%)

simplify175.0ms (1.3%)

rewrite201.0ms (1.5%)

eval123.0ms (0.9%)

prune26.0ms (0.2%)

simplify108.0ms (0.8%)

localize204.0ms (1.5%)

series42.0ms (0.3%)

simplify162.0ms (1.2%)

rewrite364.0ms (2.7%)

eval102.0ms (0.8%)

prune31.0ms (0.2%)

regimes53.0ms (0.4%)

regimes44.0ms (0.3%)

regimes63.0ms (0.5%)

regimes27.0ms (0.2%)

regimes22.0ms (0.2%)

regimes58.0ms (0.4%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify70.0ms (0.5%)

soundness1.3s (9.6%)

preprocess102.0ms (0.8%)

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