Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze192.0ms (1.5%)

Memory

21.9MiB live, 59.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.6s (51.5%)

Memory

148.5MiB live, 6 431.1MiB allocated

Samples

3.7s	25 762×	0	invalid
713.0ms	5 528×	0	valid
507.0ms	2 728×	1	valid

Precisions

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

const: 826.0ms (22.9% of total)

ival-tan: 731.0ms (20.3% of total)

ival-sub: 399.0ms (11.1% of total)

ival-<=: 387.0ms (10.7% of total)

ival-mult: 316.0ms (8.8% of total)

ival-fabs: 283.0ms (7.9% of total)

ival-add: 227.0ms (6.3% of total)

ival-<: 196.0ms (5.4% of total)

ival-and: 103.0ms (2.9% of total)

adjust: 76.0ms (2.1% of total)

exact: 47.0ms (1.3% of total)

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

Bogosity

explain118.0ms (0.9%)

Memory

0.4MiB live, 125.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
222	6	(5.4130600052629094e-154 4.3236115264724973e-156)	3	(7.650697013324092e-171 1.1824122930459035e-172)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
4	0	-	1	(53.758241102228496 0.3958620582608763)	`(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	9
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	221	5
-	6	24

Precision

0.973568281938326

Recall

0.9778761061946902

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	221	5	0
-	6	5	19

Precision?

0.9535864978902954

Recall?

1.0

Freqs

test

number	freq
0	29
1	226
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	188×	1	valid
16.0ms	316×	0	valid
2.0ms	6×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-tan: 11.0ms (49.5% of total)

adjust: 5.0ms (22.5% of total)

ival-add: 3.0ms (13.5% of total)

ival-sub: 3.0ms (13.5% of total)

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

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

preprocess22.0ms (0.2%)

Memory

27.6MiB live, 27.5MiB 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	310	35
5	367	35
6	445	35
7	482	35
8	491	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	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory

-26.3MiB live, 8.6MiB 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	107	18
8	151	18
9	166	18
10	174	18
0	174	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)

localize26.0ms (0.2%)

Memory

4.3MiB live, 42.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x eps)
accuracy	0	(tan.f64 x)
accuracy	0.15075512657297677	(tan.f64 (+.f64 x eps))
accuracy	25.035292998703124	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

11.0ms	94×	1	valid
8.0ms	158×	0	valid
1.0ms	3×	2	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: 11.0ms

ival-tan: 5.0ms (45% of total)

adjust: 2.0ms (18% of total)

ival-add: 2.0ms (18% of total)

ival-sub: 1.0ms (9% of total)

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

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

series11.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (1.2%)

Memory

3.8MiB live, 160.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	950
1	464	884
2	1535	873
3	5933	841
0	8521	794

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

rewrite192.0ms (1.5%)

Memory

-28.9MiB live, 212.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16

Stop Event

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

Counts

4 → 259

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

eval39.0ms (0.3%)

Memory: 4.5MiB live, 42.2MiB allocated
Compiler: Compiled 7 782 to 1 013 computations (87% saved)

prune13.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	266	14	280
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	266	15	281

Accuracy

100.0%

Counts

281 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
▶	60.5%	(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
	60.8%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (.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)))
	60.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	36.8%	(-.f64 (/.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)))) (tan.f64 x))
	60.8%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.8%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (tan.f64 x))
▶	60.8%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	59.8%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))
	98.6%	#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))
▶	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	60.6%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))

Compiler

Compiled 589 to 362 computations (38.5% saved)

simplify182.0ms (1.4%)

Memory

-6.7MiB live, 107.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	19776	(.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))
cost-diff	448	(*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff	6336	(log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64)))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(cos.f64 (+.f64 eps x))
cost-diff	0	(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
cost-diff	6080	(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (cos.f64 eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
cost-diff	0	(/.f64 eps (cos.f64 x))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))
cost-diff	960	(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps)
cost-diff	25344	(fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	373
0	87	367
1	139	364
2	273	360
3	650	360
4	1357	351
5	2586	345
6	4959	331
0	8184	323

Stop Event

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

Calls

Call 1

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

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

localize584.0ms (4.5%)

Memory

-338.1MiB live, 204.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.03125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	0.125	(pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))
accuracy	25.035292998703124	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
accuracy	0.015625	(pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))
accuracy	0.15075512657297677	(tan.f64 (+.f64 eps x))
accuracy	5.671937032345779	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	25.035292998703124	(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
accuracy	0.0078125	(pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))
accuracy	0.11659089903970274	(sin.f64 (+.f64 eps x))
accuracy	0.11986451520302781	(cos.f64 (+.f64 eps x))
accuracy	25.110425013568758	(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
accuracy	0	(sin.f64 eps)
accuracy	0	(cos.f64 eps)
accuracy	0.00390625	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	1.706756524310704	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	0.029628759768442016	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
accuracy	0.03125	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.10384750976844201	(fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))

Samples

390.0ms	100×	1	valid
72.0ms	151×	0	valid
7.0ms	1×	3	valid
5.0ms	4×	2	valid

Compiler

Compiled 719 to 98 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-tan: 16.0ms (13.5% of total)

adjust: 13.0ms (11% of total)

ival-pow: 12.0ms (10.1% of total)

ival-mult: 12.0ms (10.1% of total)

ival-add: 12.0ms (10.1% of total)

ival-div: 10.0ms (8.4% of total)

ival-pow2: 9.0ms (7.6% of total)

ival-log: 9.0ms (7.6% of total)

ival-sub: 6.0ms (5.1% of total)

ival-cos: 6.0ms (5.1% of total)

ival-sin: 6.0ms (5.1% of total)

ival-exp: 4.0ms (3.4% of total)

ival-neg: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series430.0ms (3.3%)

Memory

21.9MiB live, 174.0MiB allocated

Counts

27 → 180

Calls

Call 1

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

Outputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(/ (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)))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(/ 1 (cos eps))
(+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (* 1/2 (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (sin eps) (pow (cos eps) 2))) (* 1/6 (/ (sin eps) (pow (cos eps) 2))))))) (* 1/2 (/ 1 (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ eps x)
(log (/ (cos eps) (sin eps)))
(+ (log (/ (cos eps) (sin eps))) (* -1 (/ (* x (sin eps)) (cos eps))))
(+ (log (/ (cos eps) (sin eps))) (* x (+ (* -1 (/ (sin eps) (cos eps))) (* 1/2 (* x (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))))
(+ (log (/ (cos eps) (sin eps))) (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (sin eps) (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2)))))) (cos eps))) (+ (* -6 (/ (* (pow (sin eps) 2) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (pow (cos eps) 2))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* 1/2 (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))))
(* -1 (log (/ (cos eps) (sin eps))))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (/ (* x (sin eps)) (cos eps)))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (* x (+ (* -1/2 (* x (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps)))))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (* x (+ (* x (+ (* -1/2 (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/6 (* x (+ (* -6 (/ (* (sin eps) (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2)))))) (cos eps))) (+ (* -6 (/ (* (pow (sin eps) 2) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (pow (cos eps) 2))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))))) (/ (sin eps) (cos eps)))))
(/ (cos eps) (sin eps))
(+ (* -1 x) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(+ (* x (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (+ (* x (- (+ (* x (- (+ 1/3 (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(sin 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))))))))
(+ (* 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)))
(/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 17/45 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* (pow x 2) (+ (* 62/315 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 17/45 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ eps (cos x))
(/ 1 (cos (+ eps x)))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(log (/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(pow (cos x) 2)
(pow (sin x) 3)
(sin (+ eps x))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ 1 (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(log (/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(/ 1 (cos x))
(+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* -1 (/ (* eps (sin x)) (cos x)))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (sin x) (cos x))) (* 1/2 (* eps (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* 1/6 (* eps (+ (* -6 (* (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -6 (/ (* (sin x) (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* 1/2 (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
(* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps))))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (/ (* eps (sin x)) (cos x)))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (* eps (+ (* -1/2 (* eps (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (sin x) (cos x)))))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (* eps (+ (* eps (+ (* -1/2 (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1/6 (* eps (+ (* -6 (* (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -6 (/ (* (sin x) (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))))) (/ (sin x) (cos x)))))
(/ 1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (+ (* -1 (/ (* eps (sin x)) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (sin x) (cos x))
(+ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (* 2/3 (/ (sin x) (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3)))))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+ (* eps (- 1 (* -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)))
(/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))
(* (pow eps 2) (+ (* 2/3 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ 1 (/ x eps)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ 1 (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
119.0ms	x	@	inf	((+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (pow (cos (+ eps x)) -1) (sin (+ eps x))) (neg (tan x))) (pow (cos (+ eps x)) -1) (cos (+ eps x)) (+ eps x) (exp (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1)) (log (pow (- (tan (+ eps x)) (tan x)) -1)) (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1) (pow (- (tan (+ eps x)) (tan x)) -1) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (sin x) 3) (sin (+ eps x)) (- (tan (+ eps x)) (tan x)) (tan (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
110.0ms	eps	@	inf	((+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (pow (cos (+ eps x)) -1) (sin (+ eps x))) (neg (tan x))) (pow (cos (+ eps x)) -1) (cos (+ eps x)) (+ eps x) (exp (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1)) (log (pow (- (tan (+ eps x)) (tan x)) -1)) (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1) (pow (- (tan (+ eps x)) (tan x)) -1) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (sin x) 3) (sin (+ eps x)) (- (tan (+ eps x)) (tan x)) (tan (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
95.0ms	x	@	-inf	((+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (pow (cos (+ eps x)) -1) (sin (+ eps x))) (neg (tan x))) (pow (cos (+ eps x)) -1) (cos (+ eps x)) (+ eps x) (exp (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1)) (log (pow (- (tan (+ eps x)) (tan x)) -1)) (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1) (pow (- (tan (+ eps x)) (tan x)) -1) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (sin x) 3) (sin (+ eps x)) (- (tan (+ eps x)) (tan x)) (tan (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
80.0ms	eps	@	-inf	((+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (pow (cos (+ eps x)) -1) (sin (+ eps x))) (neg (tan x))) (pow (cos (+ eps x)) -1) (cos (+ eps x)) (+ eps x) (exp (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1)) (log (pow (- (tan (+ eps x)) (tan x)) -1)) (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1) (pow (- (tan (+ eps x)) (tan x)) -1) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (sin x) 3) (sin (+ eps x)) (- (tan (+ eps x)) (tan x)) (tan (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
12.0ms	eps	@	0	((+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (pow (cos (+ eps x)) -1) (sin (+ eps x))) (neg (tan x))) (pow (cos (+ eps x)) -1) (cos (+ eps x)) (+ eps x) (exp (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1)) (log (pow (- (tan (+ eps x)) (tan x)) -1)) (* (log (pow (- (tan (+ eps x)) (tan x)) -1)) -1) (pow (- (tan (+ eps x)) (tan x)) -1) (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (sin x) 3) (sin (+ eps x)) (- (tan (+ eps x)) (tan x)) (tan (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))

simplify276.0ms (2.1%)

Memory

1.5MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	800	6727
1	2638	6331
0	8391	6065

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(/ (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)))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(/ 1 (cos eps))
(+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (* 1/2 (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (sin eps) (- (* 1/2 (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* -1/2 (/ (sin eps) (pow (cos eps) 2))) (* 1/6 (/ (sin eps) (pow (cos eps) 2))))))) (* 1/2 (/ 1 (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ eps x)
(log (/ (cos eps) (sin eps)))
(+ (log (/ (cos eps) (sin eps))) (* -1 (/ (* x (sin eps)) (cos eps))))
(+ (log (/ (cos eps) (sin eps))) (* x (+ (* -1 (/ (sin eps) (cos eps))) (* 1/2 (* x (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))))
(+ (log (/ (cos eps) (sin eps))) (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (sin eps) (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2)))))) (cos eps))) (+ (* -6 (/ (* (pow (sin eps) 2) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (pow (cos eps) 2))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* 1/2 (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))))
(* -1 (log (/ (cos eps) (sin eps))))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (/ (* x (sin eps)) (cos eps)))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (* x (+ (* -1/2 (* x (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (/ (sin eps) (cos eps)))))
(+ (* -1 (log (/ (cos eps) (sin eps)))) (* x (+ (* x (+ (* -1/2 (+ (* -2 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/6 (* x (+ (* -6 (/ (* (sin eps) (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2)))))) (cos eps))) (+ (* -6 (/ (* (pow (sin eps) 2) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (pow (cos eps) 2))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))))) (/ (sin eps) (cos eps)))))
(/ (cos eps) (sin eps))
(+ (* -1 x) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (cos eps))) (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) 1)) (/ (cos eps) (sin eps)))
(+ (* x (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (+ (* x (- (+ (* x (- (+ 1/3 (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(sin 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))))))))
(+ (* 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)))
(/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))
(* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 17/45 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(* (pow x 2) (+ (* (pow x 2) (+ (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* (pow x 2) (+ (* 62/315 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 17/45 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ eps (cos x))
(/ 1 (cos (+ eps x)))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(log (/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(pow (cos x) 2)
(pow (sin x) 3)
(sin (+ eps x))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ 1 (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(log (/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(/ 1 (cos x))
(+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* -1 (/ (* eps (sin x)) (cos x)))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (sin x) (cos x))) (* 1/2 (* eps (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))
(+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* 1/6 (* eps (+ (* -6 (* (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -6 (/ (* (sin x) (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* 1/2 (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))))
(* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps))))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (/ (* eps (sin x)) (cos x)))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (* eps (+ (* -1/2 (* eps (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (sin x) (cos x)))))
(+ (* -1 (+ (log (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (log eps)))) (* eps (+ (* eps (+ (* -1/2 (+ (* -2 (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1/6 (* eps (+ (* -6 (* (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -6 (/ (* (sin x) (* (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))))) (/ (sin x) (cos x)))))
(/ 1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (+ (* -1 (/ (* eps (sin x)) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (sin x) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))) (cos x))) (+ (* -1 (/ (+ (* -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)))) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (/ (* (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) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))))))) (+ (* -1 (/ (+ 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2))) (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))))) (/ (sin x) (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (/ 1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) eps)
(/ (sin x) (cos x))
(+ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (* 2/3 (/ (sin x) (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3)))))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(+ (* eps (- 1 (* -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)))
(/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))
(* (pow eps 2) (+ (* 2/3 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ 1 (/ x eps)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ 1 (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
(* -1 (log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))

Outputs
(* eps x)
(*.f64 x eps)
(* x (+ eps x))
(*.f64 (+.f64 x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 x eps)) x eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) eps) x (*.f64 eps eps)) x eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 17/45 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps))
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 62/315 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 17/45 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (/.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 eps eps))
(/ (* eps (sin x)) (cos x))
(/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 17/315 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 2/15 binary64) (sin.f64 x)) (cos.f64 x))) (.f64 eps eps) (/.f64 (.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))) eps)
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 eps eps))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 eps (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 eps 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)))
(/ 1 (cos (- x (* -1 eps))))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
(neg.f64 (log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))))
(* -1 (log (/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))))
(log.f64 (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ 1 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))

rewrite217.0ms (1.7%)

Memory

-21.5MiB live, 232.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	291
0	87	293
1	355	248
2	2906	246
0	8700	243

Stop Event

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

Counts

27 → 866

Calls

Call 1

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

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

eval151.0ms (1.2%)

Memory: 7.4MiB live, 284.7MiB allocated
Compiler: Compiled 36 845 to 4 411 computations (88% saved)

prune31.0ms (0.2%)

Memory

1.3MiB live, 79.7MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	959	17	976
Fresh	3	6	9
Picked	4	1	5
Done	0	1	1
Total	966	25	991

Accuracy

100.0%

Counts

991 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
	60.8%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (.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)))
	36.8%	(-.f64 (/.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)))) (tan.f64 x))
	60.8%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
✓	60.8%	(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.8%	(-.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.0%	(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
	89.8%	(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (tan (+ eps x)) (tan x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)))) #s(literal -1 binary64)))
▶	59.8%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.6%	#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)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
▶	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
	97.3%	#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)))))
	60.6%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
▶	97.3%	#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)))
	97.3%	#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)))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)))

Compiler

Compiled 1 162 to 742 computations (36.1% saved)

simplify177.0ms (1.4%)

Memory

19.6MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (tan.f64 eps))
cost-diff	0	(fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))
cost-diff	192	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
cost-diff	5888	(pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(tan.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
cost-diff	0	(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
cost-diff	12800	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
cost-diff	0	(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))
cost-diff	0	(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))
cost-diff	0	#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))
cost-diff	0	#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)))
cost-diff	0	(*.f64 x eps)
cost-diff	0	#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps))
cost-diff	0	(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
cost-diff	256	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	6144	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
cost-diff	12928	(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	409
0	97	407
1	164	407
2	322	405
3	734	402
4	2050	384
5	3573	384
6	4533	384
7	5648	384
8	6293	384
9	7851	384
0	8066	369

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(*.f64 (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (cos.f64 x)) (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(sin.f64 x)
x
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(tan.f64 x)
#s(literal 2 binary64)
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps eps))
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps)
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps eps)
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps))
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x))
(*.f64 x eps)
(*.f64 eps x)
x
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)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))))
#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))
#s(approx (/ (sin eps) (cos eps)) (fma.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) 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)
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps))
(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))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64))
(fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
#s(literal 17/315 binary64)
(*.f64 eps eps)
eps
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(log.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(-.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)
(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
(pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))
(neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
(neg.f64 (tan.f64 eps))
(tan.f64 eps)
eps
(tan.f64 x)
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(+.f64 (tan.f64 eps) (tan.f64 x))
(neg.f64 (tan.f64 x))

localize248.0ms (1.9%)

Memory

-26.8MiB live, 266.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (tan.f64 eps))
accuracy	0.01953125	(pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.03125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	25.05216205395999	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
accuracy	0	(log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
accuracy	0.15075512657297677	(tan.f64 (+.f64 x eps))
accuracy	5.671937032345779	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
accuracy	25.035292998703124	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
accuracy	0	(*.f64 eps eps)
accuracy	0.00390625	(.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)
accuracy	0.24670075821669168	#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))
accuracy	1.706756524310704	#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)))
accuracy	0	(*.f64 x eps)
accuracy	0.00390625	(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps)
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
accuracy	32.028413613414614	#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps))
accuracy	0.015625	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
accuracy	0.01953125	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.10384750976844201	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))

Samples

98.0ms	153×	0	valid
95.0ms	99×	1	valid
7.0ms	1×	3	valid
4.0ms	3×	2	valid

Compiler

Compiled 731 to 118 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-add: 41.0ms (25.6% of total)

ival-mult: 25.0ms (15.6% of total)

ival-tan: 14.0ms (8.7% of total)

ival-div: 14.0ms (8.7% of total)

adjust: 13.0ms (8.1% of total)

const: 12.0ms (7.5% of total)

ival-pow2: 10.0ms (6.2% of total)

ival-pow: 9.0ms (5.6% of total)

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

ival-exp: 4.0ms (2.5% of total)

ival-cos: 4.0ms (2.5% of total)

ival-sin: 4.0ms (2.5% of total)

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

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series239.0ms (1.9%)

Memory

18.9MiB live, 176.0MiB allocated

Counts

24 → 118

Calls

Call 1

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

Outputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 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)))
(log (/ (sin eps) (cos eps)))
(+ (log (/ (sin eps) (cos eps))) (/ (* x (sin eps)) (cos eps)))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* 1/2 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (/ (sin eps) (cos eps)))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (cos eps) (+ 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))))))) (sin eps))) (+ (* -6 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* 1/2 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -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)))
1
(+ 1 (/ (* x (sin eps)) (cos eps)))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(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))))))))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(log (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(log (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (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))))))))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
1/3
(+ 1/3 (* 2/15 (pow eps 2)))
(+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))
(+ (log eps) (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* eps (sin x)) (cos x))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* 1/2 (* eps (+ (* -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)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (sin x) (cos x))))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* eps (+ (* 1/6 (* eps (+ (* -6 (/ (+ (* -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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2 (/ (pow (sin x) 3) (pow (cos x) 3))) (* 6 (/ (* (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))) (* 1/2 (+ (* -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)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (sin x) (cos x))))))
(/ (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)))
(+ 1 (/ (* eps (sin x)) (cos x)))
(+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))
(+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(pow eps 2)
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* 17/315 (pow eps 6))
(* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* 17/315 (pow eps 4))
(* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* -1 (/ (sin eps) (cos eps)))
(* 17/315 (pow eps 7))
(* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(log (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	eps	@	-inf	((+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps) (+ (* (sin x) (pow (tan x) 2)) (sin x)) (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (exp (log (- (tan (+ x eps)) (tan x)))) (log (- (tan (+ x eps)) (tan x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (* (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (tan eps) (tan x))) (neg (tan x))) (+ (* (neg (tan eps)) (tan x)) 1) (neg (tan eps)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (* eps eps) (+ (tan eps) (tan x)))
79.0ms	eps	@	inf	((+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps) (+ (* (sin x) (pow (tan x) 2)) (sin x)) (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (exp (log (- (tan (+ x eps)) (tan x)))) (log (- (tan (+ x eps)) (tan x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (* (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (tan eps) (tan x))) (neg (tan x))) (+ (* (neg (tan eps)) (tan x)) 1) (neg (tan eps)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (* eps eps) (+ (tan eps) (tan x)))
33.0ms	x	@	inf	((+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps) (+ (* (sin x) (pow (tan x) 2)) (sin x)) (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (exp (log (- (tan (+ x eps)) (tan x)))) (log (- (tan (+ x eps)) (tan x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (* (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (tan eps) (tan x))) (neg (tan x))) (+ (* (neg (tan eps)) (tan x)) 1) (neg (tan eps)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (* eps eps) (+ (tan eps) (tan x)))
30.0ms	x	@	-inf	((+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps) (+ (* (sin x) (pow (tan x) 2)) (sin x)) (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (exp (log (- (tan (+ x eps)) (tan x)))) (log (- (tan (+ x eps)) (tan x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (* (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (tan eps) (tan x))) (neg (tan x))) (+ (* (neg (tan eps)) (tan x)) 1) (neg (tan eps)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (* eps eps) (+ (tan eps) (tan x)))
7.0ms	eps	@	0	((+ (* (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) eps) (+ (* (sin x) (pow (tan x) 2)) (sin x)) (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (exp (log (- (tan (+ x eps)) (tan x)))) (log (- (tan (+ x eps)) (tan x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (* (pow (+ (* (neg (tan eps)) (tan x)) 1) -1) (+ (tan eps) (tan x))) (neg (tan x))) (+ (* (neg (tan eps)) (tan x)) 1) (neg (tan eps)) (pow (tan x) 2) (* (+ (* (+ (* (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (* eps eps) (+ (tan eps) (tan x)))

simplify167.0ms (1.3%)

Memory

-9.5MiB live, 139.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	3277
1	1690	3113
2	5672	3011
0	9036	2860

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 116

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 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)))
(log (/ (sin eps) (cos eps)))
(+ (log (/ (sin eps) (cos eps))) (/ (* x (sin eps)) (cos eps)))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* 1/2 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (/ (sin eps) (cos eps)))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (cos eps) (+ 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))))))) (sin eps))) (+ (* -6 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* 1/2 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -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)))
1
(+ 1 (/ (* x (sin eps)) (cos eps)))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(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))))))))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(log (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(log (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (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))))))))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
1/3
(+ 1/3 (* 2/15 (pow eps 2)))
(+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))
(+ (log eps) (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* eps (sin x)) (cos x))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* 1/2 (* eps (+ (* -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)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (/ (sin x) (cos x))))))
(+ (log eps) (+ (log (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* eps (+ (* 1/6 (* eps (+ (* -6 (/ (+ (* -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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* 2 (/ (pow (sin x) 3) (pow (cos x) 3))) (* 6 (/ (* (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))))))) (* 1/2 (+ (* -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)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (sin x) (cos x))))))
(/ (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)))
(+ 1 (/ (* eps (sin x)) (cos x)))
(+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))
(+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(pow eps 2)
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* 17/315 (pow eps 6))
(* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* 17/315 (pow eps 4))
(* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* -1 (/ (sin eps) (cos eps)))
(* 17/315 (pow eps 7))
(* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(log (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))

Outputs
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 4/3 binary64) eps) x) eps eps) x (*.f64 eps eps)) x eps)
x
(* x (+ 1 (* 5/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 61/120 binary64) (*.f64 x x) #s(literal 5/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 277/1008 binary64) (.f64 x x) #s(literal 61/120 binary64)) (.f64 x x) #s(literal 5/6 binary64)) x)
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) eps (.f64 #s(literal 2/3 binary64) x)) x #s(literal 1 binary64)) x eps) x)
(/ (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 (neg.f64 x) (+.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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 (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)))
(log (/ (sin eps) (cos eps)))
(log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (log (/ (sin eps) (cos eps))) (/ (* x (sin eps)) (cos eps)))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* 1/2 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (/ (sin eps) (cos eps)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (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 (log.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+ (log (/ (sin eps) (cos eps))) (* x (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (cos eps) (+ 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))))))) (sin eps))) (+ (* -6 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* 1/2 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))) (/ (sin eps) (cos eps)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal -6 binary64) (fma.f64 (+.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)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (cos.f64 eps) (sin.f64 eps)) (.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)))) (.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) x (log.f64 (/.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 (neg.f64 x) (+.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)) (/.f64 (neg.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 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (/ (* x (sin eps)) (cos eps)))
(fma.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)) #s(literal 1 binary64))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 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 #s(literal 1 binary64))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (pow.f64 (cos.f64 eps) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.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 (* -1 (/ (* x (sin eps)) (cos eps))))
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 x (cos.f64 eps)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 x (cos.f64 eps)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2/15 binary64) (.f64 x x)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(+ x (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps)
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (/ (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)))
(log (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))
(log.f64 (-.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)))
(/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
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(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (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)))) eps eps)
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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 4 binary64))))) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (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))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (-.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (-.f64 (+.f64 #s(literal 1/3 binary64) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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 4 binary64))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (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))) eps)
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(fma.f64 (fma.f64 (.f64 (.f64 eps #s(literal -1/3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2/15 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 eps eps) #s(literal -1 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal -1 binary64)) eps)
(pow eps 2)
(*.f64 eps eps)
(+ eps (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+.f64 (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) (/.f64 (sin.f64 x) (cos.f64 x)))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 eps eps) eps)
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) eps)
(* 17/315 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 17/315 binary64))
(* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 17/315 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 2/15 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)) #s(literal 1 binary64)))
(* 17/315 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 17/315 binary64))
(* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64)))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* -1 (/ (sin eps) (cos eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(* 17/315 (pow eps 7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 17/315 binary64))
(* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64)))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 17/315 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (.f64 eps eps))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) eps)
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(log (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))
(log.f64 (-.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 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))
(.f64 (neg.f64 (pow.f64 eps #s(literal 7 binary64))) (-.f64 #s(literal -17/315 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 eps eps)) #s(literal 2/15 binary64)) eps) eps)))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 eps eps)) #s(literal 17/315 binary64))) (pow.f64 eps #s(literal 7 binary64)))

rewrite191.0ms (1.5%)

Memory

19.9MiB live, 173.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	365
0	97	346
1	385	319
2	3451	319
0	8604	319

Stop Event

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

Counts

24 → 690

Calls

Call 1

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

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

eval153.0ms (1.2%)

Memory: -13.6MiB live, 145.5MiB allocated
Compiler: Compiled 29 842 to 3 320 computations (88.9% saved)

prune38.0ms (0.3%)

Memory

-5.9MiB live, 79.0MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	740	14	754
Fresh	8	10	18
Picked	2	3	5
Done	1	1	2
Total	751	28	779

Accuracy

100.0%

Counts

779 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
▶	60.8%	(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.8%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.8%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
	98.8%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x)))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
	60.1%	(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (tan.f64 x))))
✓	59.8%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) eps eps))
▶	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
▶	97.3%	#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)))))
	52.4%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps (neg.f64 eps)))))
▶	60.6%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) eps (*.f64 #s(literal 1 binary64) eps))))
✓	97.3%	#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)))
	97.3%	#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)))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))

Compiler

Compiled 1 468 to 831 computations (43.4% saved)

simplify150.0ms (1.2%)

Memory

2.4MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
cost-diff	192	(.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))
cost-diff	192	(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
cost-diff	12288	(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64)))
cost-diff	0	(sin.f64 (+.f64 x eps))
cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
cost-diff	0	#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#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)))))
cost-diff	0	(*.f64 (+.f64 x eps) x)
cost-diff	0	#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
cost-diff	0	(/.f64 eps (cos.f64 x))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
cost-diff	256	(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
cost-diff	12928	(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	414
0	97	414
1	160	411
2	306	405
3	662	403
4	1570	391
5	2766	391
6	3878	391
7	4716	391
8	5589	391
9	7658	391
0	8174	379

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
#s(literal 1 binary64)
(sin.f64 x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
(*.f64 (+.f64 x eps) x)
(+.f64 x eps)
x
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 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
eps
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 (+.f64 x eps))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64)))
(.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))
(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
(tan.f64 eps)
eps
#s(literal -1 binary64)
(+.f64 (tan.f64 eps) (tan.f64 x))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)))
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(*.f64 (fma.f64 (sin.f64 x) (/.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
#s(literal 1 binary64)
(sin.f64 x)
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps)
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x))
(*.f64 (+.f64 x eps) x)
(*.f64 (+.f64 eps x) x)
(+.f64 x eps)
(+.f64 eps x)
x
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)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)))))
(/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))))
(sin.f64 eps)
eps
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
(.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))
(neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))
(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))
(*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
(tan.f64 eps)
eps
#s(literal -1 binary64)
(+.f64 (tan.f64 eps) (tan.f64 x))

localize273.0ms (2.1%)

Memory

-0.2MiB live, 193.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
accuracy	0.01171875	(*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))
accuracy	0.03125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	25.05216205395999	(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
accuracy	0.0390625	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
accuracy	0.11659089903970274	(sin.f64 (+.f64 x eps))
accuracy	0.11986451520302781	(cos.f64 (+.f64 x eps))
accuracy	25.035292998703124	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
accuracy	0	(sin.f64 eps)
accuracy	0.00390625	(/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	0.48952070994319685	#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	1.706756524310704	#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)))))
accuracy	0.00390625	(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
accuracy	0.1171875	(*.f64 (+.f64 x eps) x)
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
accuracy	1.7531673985540206	#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
accuracy	0.017910009768442016	(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
accuracy	0.01953125	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.10384750976844201	(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))

Samples

162.0ms	100×	1	valid
54.0ms	151×	0	valid
7.0ms	1×	3	valid
6.0ms	4×	2	valid

Compiler

Compiled 734 to 114 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-add: 95.0ms (48.4% of total)

ival-mult: 22.0ms (11.2% of total)

ival-tan: 15.0ms (7.6% of total)

adjust: 12.0ms (6.1% of total)

ival-div: 11.0ms (5.6% of total)

ival-pow2: 11.0ms (5.6% of total)

ival-cos: 7.0ms (3.6% of total)

ival-pow: 6.0ms (3.1% of total)

ival-sin: 6.0ms (3.1% of total)

ival-exp: 3.0ms (1.5% of total)

ival-sub: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

ival-log1p: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series144.0ms (1.1%)

Memory

20.4MiB live, 141.9MiB allocated

Counts

25 → 145

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 eps (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
(*.f64 (+.f64 x eps) x)
#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 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))
(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))

Outputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 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)))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 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)))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
1
(+ 1 (/ (* x (sin eps)) (cos eps)))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps))))
(* x (+ (* x (+ (* -1/6 (* x (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))
(* x (+ (* x (+ (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (+ (* -1/6 (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1/24 (* x (+ (* -8 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -6 (/ (pow (sin eps) 4) (pow (cos eps) 4)))))))))) (/ (sin eps) (cos eps))))
(* -1 (/ (* x (sin eps)) (cos eps)))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/6 (* x (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (+ (* 1/24 (* x (+ (* -8 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -6 (/ (pow (sin eps) 4) (pow (cos eps) 4)))))) (* 1/6 (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 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))))))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps)))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps)))))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -2/15 (/ (sin eps) (cos eps))) (* -17/315 (/ (* (pow x 2) (sin eps)) (cos eps)))))))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ eps (cos x))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* (pow x 2) (+ 1 (/ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(sin (+ eps x))
(/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (log (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(log (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(cos (+ eps x))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps x) (pow 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)))
(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 (sin x)) (cos x)))
(+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))
(+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/2 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x))))
(* eps (+ (* eps (+ (* -1/6 (* eps (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* eps (+ (* eps (+ (* 1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/6 (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/24 (* eps (+ (* -8 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -6 (/ (pow (sin x) 4) (pow (cos x) 4)))))))))) (/ (sin x) (cos x))))
(* -1 (/ (* eps (sin x)) (cos x)))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/2 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (* eps (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* 1/24 (* eps (+ (* -8 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -6 (/ (pow (sin x) 4) (pow (cos x) 4)))))) (* 1/6 (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))))))))
(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 (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x)))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x)))))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -2/15 (/ (sin x) (cos x))) (* -17/315 (/ (* (pow eps 2) (sin x)) (cos x)))))))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ x (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	((+ (* (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) eps) eps) (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* (+ x eps) x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ (sin x) (cos x))) (/ (sin (+ x eps)) (cos (+ x eps))) (sin (+ x eps)) (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (* (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (tan eps) (tan x))) (neg (tan x))) (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1) (log (+ 1 (* (neg (tan x)) (tan eps)))) (pow (tan x) 2) (* (+ (* (tan x) (tan x)) 1) (sin x)) (cos (+ x eps)) (+ (tan eps) (tan x)) (* (neg (tan x)) (tan eps)))
30.0ms	eps	@	0	((+ (* (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) eps) eps) (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* (+ x eps) x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ (sin x) (cos x))) (/ (sin (+ x eps)) (cos (+ x eps))) (sin (+ x eps)) (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (* (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (tan eps) (tan x))) (neg (tan x))) (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1) (log (+ 1 (* (neg (tan x)) (tan eps)))) (pow (tan x) 2) (* (+ (* (tan x) (tan x)) 1) (sin x)) (cos (+ x eps)) (+ (tan eps) (tan x)) (* (neg (tan x)) (tan eps)))
28.0ms	eps	@	-inf	((+ (* (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) eps) eps) (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* (+ x eps) x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ (sin x) (cos x))) (/ (sin (+ x eps)) (cos (+ x eps))) (sin (+ x eps)) (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (* (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (tan eps) (tan x))) (neg (tan x))) (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1) (log (+ 1 (* (neg (tan x)) (tan eps)))) (pow (tan x) 2) (* (+ (* (tan x) (tan x)) 1) (sin x)) (cos (+ x eps)) (+ (tan eps) (tan x)) (* (neg (tan x)) (tan eps)))
25.0ms	x	@	-inf	((+ (* (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) eps) eps) (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* (+ x eps) x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ (sin x) (cos x))) (/ (sin (+ x eps)) (cos (+ x eps))) (sin (+ x eps)) (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (* (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (tan eps) (tan x))) (neg (tan x))) (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1) (log (+ 1 (* (neg (tan x)) (tan eps)))) (pow (tan x) 2) (* (+ (* (tan x) (tan x)) 1) (sin x)) (cos (+ x eps)) (+ (tan eps) (tan x)) (* (neg (tan x)) (tan eps)))
24.0ms	eps	@	inf	((+ (* (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) eps) eps) (+ (* (/ eps (cos x)) (* (+ (* (tan x) (tan x)) 1) (sin x))) (pow (tan x) 2)) (- (tan (+ x eps)) (tan x)) (/ eps (cos x)) (- (tan (+ x eps)) (tan x)) (+ (* (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (* (+ x eps) x) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ x eps)) (cos (+ x eps))) (/ (sin x) (cos x))) (/ (sin (+ x eps)) (cos (+ x eps))) (sin (+ x eps)) (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (* (exp (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1)) (+ (tan eps) (tan x))) (neg (tan x))) (* (log (+ 1 (* (neg (tan x)) (tan eps)))) -1) (log (+ 1 (* (neg (tan x)) (tan eps)))) (pow (tan x) 2) (* (+ (* (tan x) (tan x)) 1) (sin x)) (cos (+ x eps)) (+ (tan eps) (tan x)) (* (neg (tan x)) (tan eps)))

simplify199.0ms (1.5%)

Memory

-8.7MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	647	3588
1	2211	3403
2	7378	3322
0	8019	3156

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 143

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 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)))
(+ eps (* 1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 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)))
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
1
(+ 1 (/ (* x (sin eps)) (cos eps)))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps))))
(* x (+ (* x (+ (* -1/6 (* x (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))
(* x (+ (* x (+ (* 1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (+ (* -1/6 (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1/24 (* x (+ (* -8 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -6 (/ (pow (sin eps) 4) (pow (cos eps) 4)))))))))) (/ (sin eps) (cos eps))))
(* -1 (/ (* x (sin eps)) (cos eps)))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/6 (* x (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* x (+ (* 1/24 (* x (+ (* -8 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -6 (/ (pow (sin eps) 4) (pow (cos eps) 4)))))) (* 1/6 (+ (* -2 (/ (sin eps) (cos eps))) (* -2 (/ (pow (sin eps) 3) (pow (cos eps) 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))))))))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps)))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps)))))))
(* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -2/15 (/ (sin eps) (cos eps))) (* -17/315 (/ (* (pow x 2) (sin eps)) (cos eps)))))))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(/ eps (cos x))
(+ eps (* eps (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(* (pow x 2) (+ 1 (/ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(sin (+ eps x))
(/ 1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (log (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(log (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(cos (+ eps x))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps x) (pow 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)))
(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 (sin x)) (cos x)))
(+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))
(+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/2 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x))))
(* eps (+ (* eps (+ (* -1/6 (* eps (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))) (* 1/2 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))
(* eps (+ (* eps (+ (* 1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/6 (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/24 (* eps (+ (* -8 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -6 (/ (pow (sin x) 4) (pow (cos x) 4)))))))))) (/ (sin x) (cos x))))
(* -1 (/ (* eps (sin x)) (cos x)))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/2 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (* eps (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* 1/24 (* eps (+ (* -8 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -6 (/ (pow (sin x) 4) (pow (cos x) 4)))))) (* 1/6 (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3)))))))))))
(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 (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x)))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x)))))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -2/15 (/ (sin x) (cos x))) (* -17/315 (/ (* (pow eps 2) (sin x)) (cos x)))))))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ x (/ (pow x 2) eps)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(cos (- x (* -1 eps)))

Outputs
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 x eps)) x eps)
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) x) eps eps) x (*.f64 eps eps)) x eps)
(* eps x)
(*.f64 x eps)
(* x (+ eps x))
(*.f64 (+.f64 x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 eps)) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ eps (* 1/2 (* eps (pow x 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) eps eps)
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(fma.f64 (fma.f64 (.f64 eps #s(literal 5/24 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) eps)
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 eps) (+ (* 1/48 eps) (* 1/2 (+ (* -1/4 eps) (* 1/24 eps))))))) (+ (* -1/4 eps) (* 1/24 eps)))) (* -1/2 eps))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 eps #s(literal 7/360 binary64) (.f64 eps #s(literal -5/48 binary64))) (.f64 eps #s(literal 5/24 binary64))) (.f64 x x) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x) 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)) (sin.f64 eps)) (/.f64 x (cos.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64))) (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (cos eps)))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 eps) x) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (cos.f64 eps)) x (sin.f64 eps))
1
#s(literal 1 binary64)
(+ 1 (/ (* x (sin eps)) (cos eps)))
(fma.f64 (sin.f64 eps) (/.f64 x (cos.f64 eps)) #s(literal 1 binary64))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 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 #s(literal 1 binary64))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 x (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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x
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(* eps (+ (* eps (+ (* 1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* -1/6 (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1/24 (* eps (+ (* -8 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -6 (/ (pow (sin x) 4) (pow (cos x) 4)))))))))) (/ (sin x) (cos x))))
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(* eps (+ (* -1 (/ (sin x) (cos x))) (* eps (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (* eps (+ (* -2 (/ (sin x) (cos x))) (* -2 (/ (pow (sin x) 3) (pow (cos x) 3))))))))))
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(+.f64 (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) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x)))))
(.f64 (fma.f64 (.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) eps)
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x)))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2/15 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (cos.f64 x))) (.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -2/15 (/ (sin x) (cos x))) (* -17/315 (/ (* (pow eps 2) (sin x)) (cos x)))))))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -17/315 binary64) (.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) #s(literal -2/15 binary64)) (cos.f64 x))) (.f64 eps eps) (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (cos.f64 x))) (.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 eps eps))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) (.f64 eps eps))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (cos.f64 x)))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps)
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps)
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (.f64 eps eps))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(* eps (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) eps)
(* eps (+ x (/ (pow x 2) eps)))
(*.f64 (fma.f64 x (/.f64 x eps) x) eps)
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (.f64 eps eps))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.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)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (.f64 eps eps))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 eps (cos.f64 x)))
(* -1 (* eps (+ (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(*.f64 (fma.f64 x (/.f64 x eps) x) eps)
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))

rewrite215.0ms (1.7%)

Memory

7.2MiB live, 164.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	357
0	97	324
1	365	295
2	3224	295
0	8721	286

Stop Event

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

Counts

25 → 619

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 eps (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
(fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps)
#s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x))
(*.f64 (+.f64 x eps) x)
#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 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sin.f64 eps)
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(sin.f64 (+.f64 x eps))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))
(log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)))
(pow.f64 (tan.f64 x) #s(literal 2 binary64))
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))

Outputs
(.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps)
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 eps eps)) (pow.f64 (fma.f64 (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (neg.f64 eps)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)) (pow.f64 (.f64 (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 eps (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (neg.f64 eps)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)) (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (.f64 (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 eps eps)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (neg.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)) (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64))) (-.f64 eps (.f64 (fma.f64 (*.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 eps eps))) (neg.f64 (fma.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (neg.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)) (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (neg.f64 eps)))
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eval122.0ms (0.9%)

Memory: 1.2MiB live, 159.5MiB allocated
Compiler: Compiled 26 519 to 3 071 computations (88.4% saved)

prune41.0ms (0.3%)

Memory

28.2MiB live, 102.8MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	658	11	669
Fresh	4	15	19
Picked	2	3	5
Done	0	4	4
Total	664	33	697

Accuracy

100.0%

Counts

697 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
	60.8%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.8%	(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
	98.8%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x)))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
	60.1%	(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (tan.f64 x))))
✓	59.8%	(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 eps (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) #s(approx (* (+ (* (tan x) (tan x)) 1) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) eps eps))
✓	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
✓	97.3%	#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)))))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(approx (sin eps) (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)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))))
	52.4%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps (neg.f64 eps)))))
	60.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	60.6%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) #s(literal 1 binary64)) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) eps (*.f64 #s(literal 1 binary64) eps))))
✓	97.3%	#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)))
	97.3%	#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)))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.f64 (fma.f64 #s(approx (+ ( (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))

Compiler

Compiled 2 446 to 853 computations (65.1% saved)

regimes186.0ms (1.4%)

Memory

-25.5MiB live, 98.5MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.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 (fma.f64 #s(approx (+ ( (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) #s(literal 1 binary64)) eps))
#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)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) 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)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) eps (*.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(approx (sin eps) (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)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps (neg.f64 eps)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (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))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) #s(approx (* (+ (* (tan x) (tan x)) 1) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 eps (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (tan (+ eps x)) (tan x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.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)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (.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)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps eps))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))

Calls

3 calls:

118.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	x
14.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes50.0ms (0.4%)

Memory

7.4MiB live, 90.1MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.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 (fma.f64 #s(approx (+ ( (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) #s(literal 1 binary64)) eps))
#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)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) 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)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) eps (*.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(approx (sin eps) (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)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps (neg.f64 eps)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (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))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) #s(approx (* (+ (* (tan x) (tan x)) 1) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 eps (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 eps (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (- (tan (+ eps x)) (tan x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
(fma.f64 (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) #s(literal -1 binary64))) (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal -1 binary64) (tan.f64 x) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (tan.f64 x)))) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (tan.f64 eps) (tan.f64 x))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64))) (tan.f64 x))
(-.f64 (/.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)))) (tan.f64 x))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (tan.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (.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)))

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

Calls

3 calls:

18.0ms	eps
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	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)

regimes46.0ms (0.4%)

Memory

-11.2MiB live, 28.0MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (.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 (fma.f64 #s(approx (+ ( (+ (* 17/315 (* eps eps)) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) #s(literal 1 binary64)) eps))
#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)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) 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)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (/ (sin eps) (cos eps)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) eps (*.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(approx (sin eps) (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)) #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 eps x)) eps (neg.f64 eps))) (/.f64 (.f64 eps eps) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps (neg.f64 eps)))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (sin.f64 (+.f64 eps x)) (neg.f64 (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))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (/.f64 eps (cos.f64 x)) #s(approx (* (+ (* (tan x) (tan x)) 1) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5/6 binary64) x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))

Outputs
#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))

Calls

3 calls:

29.0ms	eps
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`eps`
98.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.1%)

Memory

-25.9MiB live, 13.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`eps`
97.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify27.0ms (0.2%)

Memory

9.1MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	219
1	82	219
2	92	219
3	99	219
4	102	219
5	103	219

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 eps (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (tan.f64 eps) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))))) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 eps (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) eps) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 4/3 binary64))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 4/3 binary64) eps)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x eps)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (+ (* (/ eps (cos x)) (+ (/ (pow (sin x) 3) (pow (cos x) 2)) (sin x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps eps))

soundness820.0ms (6.4%)

Memory

-24.5MiB live, 462.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	291
0	87	293
1	355	248
2	2906	246
0	8700	243
0	800	6727
1	2638	6331
0	8391	6065
0	59	365
0	97	346
1	385	319
2	3451	319
0	8604	319
0	58	357
0	97	324
1	365	295
2	3224	295
0	8721	286
0	157	950
1	464	884
2	1535	873
3	5933	841
0	8521	794

Stop Event

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

Compiler

Compiled 312 to 140 computations (55.1% saved)

preprocess74.0ms (0.6%)

Memory: 6.7MiB live, 91.2MiB allocated
Compiler: Compiled 470 to 158 computations (66.4% 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	310	35
5	367	35
6	445	35
7	482	35
8	491	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	107	7
8	151	7
9	166	7
10	174	7
0	174	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	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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	107	7
8	151	7
9	166	7
10	174	7
0	174	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	107	18
8	151	18
9	166	18
10	174	18
0	174	18

start0.0ms (0%)

analyze192.0ms (1.5%)

sample6.6s (51.5%)

explain118.0ms (0.9%)

preprocess22.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize26.0ms (0.2%)

series11.0ms (0.1%)

simplify158.0ms (1.2%)

rewrite192.0ms (1.5%)

eval39.0ms (0.3%)

prune13.0ms (0.1%)

simplify182.0ms (1.4%)

localize584.0ms (4.5%)

series430.0ms (3.3%)

simplify276.0ms (2.1%)

rewrite217.0ms (1.7%)

eval151.0ms (1.2%)

prune31.0ms (0.2%)

simplify177.0ms (1.4%)

localize248.0ms (1.9%)

series239.0ms (1.9%)

simplify167.0ms (1.3%)

rewrite191.0ms (1.5%)

eval153.0ms (1.2%)

prune38.0ms (0.3%)

simplify150.0ms (1.2%)

localize273.0ms (2.1%)

series144.0ms (1.1%)

simplify199.0ms (1.5%)

rewrite215.0ms (1.7%)

eval122.0ms (0.9%)

prune41.0ms (0.3%)

regimes186.0ms (1.4%)

regimes50.0ms (0.4%)

regimes46.0ms (0.4%)

regimes19.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

simplify27.0ms (0.2%)

soundness820.0ms (6.4%)

preprocess74.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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	107	7
8	151	7
9	166	7
10	174	7
0	174	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	107	18
8	151	18
9	166	18
10	174	18
0	174	18