Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze45.0ms (0.4%)

Memory

-7.6MiB live, 31.3MiB 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)

sample6.8s (52.8%)

Memory

155.6MiB live, 6 452.6MiB allocated

Samples

3.4s	25 762×	0	invalid
1.0s	5 528×	0	valid
756.0ms	2 728×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

const: 912.0ms (23.4% of total)

ival-tan: 773.0ms (19.8% of total)

ival-mult: 431.0ms (11.1% of total)

ival-sub: 374.0ms (9.6% of total)

ival-fabs: 358.0ms (9.2% of total)

ival-<=: 348.0ms (8.9% of total)

ival-add: 296.0ms (7.6% of total)

ival-<: 164.0ms (4.2% of total)

ival-and: 103.0ms (2.6% of total)

adjust: 82.0ms (2.1% of total)

exact: 45.0ms (1.2% of total)

ival-assert: 13.0ms (0.3% of total)

Bogosity

explain150.0ms (1.2%)

Memory

-4.7MiB live, 79.2MiB 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

19.0ms	188×	1	valid
16.0ms	316×	0	valid
1.0ms	6×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-tan: 10.0ms (46.8% of total)

adjust: 4.0ms (18.7% of total)

ival-add: 3.0ms (14.1% of total)

ival-sub: 3.0ms (14.1% of total)

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

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

preprocess21.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (0.7%)

Memory

-16.5MiB live, 21.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.15075512657297677	(tan.f64 (+.f64 x eps))
accuracy	25.035292998703124	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

74.0ms	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: 75.0ms

ival-add: 64.0ms (85.7% of total)

ival-tan: 5.0ms (6.7% of total)

adjust: 4.0ms (5.4% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

series11.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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))

simplify229.0ms (1.8%)

Memory

21.7MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite321.0ms (2.5%)

Memory

-9.9MiB live, 105.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 255

Calls

Call 1

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

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

eval66.0ms (0.5%)

Memory: 11.9MiB live, 49.3MiB allocated
Compiler: Compiled 7 565 to 1 005 computations (86.7% saved)

prune29.0ms (0.2%)

Memory

-13.9MiB live, 31.7MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	261	15	276
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	16	277

Accuracy

99.9%

Counts

277 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.8%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
▶	60.5%	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
	60.8%	(/.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)))
	59.5%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	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 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
	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))))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Compiler

Compiled 651 to 396 computations (39.2% saved)

simplify171.0ms (1.3%)

Memory

11.1MiB live, 165.8MiB 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	(sin.f64 (+.f64 eps x))
cost-diff	0	(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	0	#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))))
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	0	(neg.f64 (sin.f64 (+.f64 eps x)))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
cost-diff	448	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
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 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))
cost-diff	128	(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	371
0	81	371
1	138	368
2	308	366
3	890	366
4	2066	366
5	3795	366
6	6390	352
0	8362	346

Stop Event

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

Calls

Call 1

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

localize170.0ms (1.3%)

Memory

19.1MiB live, 252.8MiB 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	0.0390625	(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
accuracy	0.11659089903970274	(sin.f64 (+.f64 eps x))
accuracy	0.11986451520302781	(cos.f64 (+.f64 eps x))
accuracy	25.035292998703124	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
accuracy	0.11659089903970274	(sin.f64 (+.f64 eps x))
accuracy	0.11986451520302781	(cos.f64 (+.f64 eps x))
accuracy	25.110425013568758	(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
accuracy	0.0	(sin.f64 eps)
accuracy	0.0	(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	0.015625	(*.f64 (sin.f64 x) eps)
accuracy	0.01953125	(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.03125	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))

Samples

70.0ms	100×	1	valid
48.0ms	151×	0	valid
7.0ms	1×	3	valid
4.0ms	4×	2	valid

Compiler

Compiled 705 to 90 computations (87.2% saved)

Precisions

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

ival-div: 17.0ms (17.7% of total)

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

ival-tan: 13.0ms (13.5% of total)

adjust: 10.0ms (10.4% of total)

ival-add: 10.0ms (10.4% of total)

ival-sin: 8.0ms (8.3% of total)

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

ival-pow2: 6.0ms (6.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series317.0ms (2.5%)

Memory

-385.6MiB live, 86.1MiB allocated

Counts

25 → 155

Calls

Call 1

Inputs
(+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))
(.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps)
(.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64)))
#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 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
(neg.f64 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps 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 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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 (/.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))
(/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) eps)
(cos.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
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps))))))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(* -1 (sin eps))
(- (* -1 (* x (cos eps))) (sin eps))
(- (* x (- (* 1/2 (* x (sin eps))) (cos eps))) (sin eps))
(- (* x (- (* x (- (* 1/6 (* x (cos eps))) (* -1/2 (sin eps)))) (cos eps))) (sin 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))))))))
(+ (* 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)))
(+ (* 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 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
x
(* 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 (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(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))))
(/ (* (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))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (cos (+ eps x)))
(* -1 (sin (+ eps x)))
(sin (+ eps x))
(/ (sin (+ eps x)) (cos (+ eps 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)
(/ (sin x) (pow (cos x) 2))
(* eps (sin 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))))
(* -1 (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (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)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 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 (* 1/3 (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 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(* -1 (sin x))
(- (* -1 (* eps (cos x))) (sin x))
(- (* eps (- (* 1/2 (* eps (sin x))) (cos x))) (sin x))
(- (* eps (- (* eps (- (* 1/6 (* eps (cos x))) (* -1/2 (sin x)))) (cos x))) (sin x))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(/ (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)))
(+ (* 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)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ (* (pow 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 (+ (/ 1 eps) (/ (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 (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(/ -1 (cos (- x (* -1 eps))))
(* -1 (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
262.0ms	x	@	0	((+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (* (/ (+ (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) (/ (sin x) (pow (cos x) 2)) (* (sin x) eps) (cos (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
14.0ms	eps	@	-inf	((+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (* (/ (+ (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) (/ (sin x) (pow (cos x) 2)) (* (sin x) eps) (cos (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
11.0ms	x	@	inf	((+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (* (/ (+ (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) (/ (sin x) (pow (cos x) 2)) (* (sin x) eps) (cos (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
11.0ms	eps	@	0	((+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (* (/ (+ (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) (/ (sin x) (pow (cos x) 2)) (* (sin x) eps) (cos (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))
8.0ms	x	@	-inf	((+ (/ (* (sin x) eps) (cos x)) 1) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (neg (sin (+ eps x))) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (/ 1 (neg (cos (+ eps x)))) (neg (sin (+ eps x))) (sin (+ eps x)) (- (tan (+ x eps)) (tan x)) (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))) (* (/ (+ (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) (/ (sin x) (pow (cos x) 2)) (* (sin x) eps) (cos (+ eps x)) (pow (* (tan eps) (tan x)) 2) (* (tan eps) (tan x)))

simplify186.0ms (1.4%)

Memory

33.1MiB live, 221.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	3658
1	2095	3492
2	6685	3410
0	8382	3209

Stop Event

1×	iter limit
1×	node limit

Counts

155 → 153

Calls

Call 1

Inputs
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* (pow x 2) (- (* -1/6 eps) (* -1/2 eps))))))
(+ 1 (* x (+ eps (* (pow x 2) (- (+ (* -1/6 eps) (* (pow x 2) (- (* 1/120 eps) (+ (* -1/2 (- (* -1/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps))))))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(* -1 (sin eps))
(- (* -1 (* x (cos eps))) (sin eps))
(- (* x (- (* 1/2 (* x (sin eps))) (cos eps))) (sin eps))
(- (* x (- (* x (- (* 1/6 (* x (cos eps))) (* -1/2 (sin eps)))) (cos eps))) (sin 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))))))))
(+ (* 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)))
(+ (* 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 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
x
(* 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 (* -1/6 (* eps (pow x 2)))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))
(* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))
(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))))
(/ (* (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))))
(+ 1 (/ (* eps (sin x)) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ -1 (cos (+ eps x)))
(* -1 (sin (+ eps x)))
(sin (+ eps x))
(/ (sin (+ eps x)) (cos (+ eps 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)
(/ (sin x) (pow (cos x) 2))
(* eps (sin 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))))
(* -1 (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (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)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 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 (* 1/3 (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 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(* -1 (sin x))
(- (* -1 (* eps (cos x))) (sin x))
(- (* eps (- (* 1/2 (* eps (sin x))) (cos x))) (sin x))
(- (* eps (- (* eps (- (* 1/6 (* eps (cos x))) (* -1/2 (sin x)))) (cos x))) (sin x))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(/ (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)))
(+ (* 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)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ (* (pow 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 (+ (/ 1 eps) (/ (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 (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* eps (- (* -1 (/ (sin x) (cos x))) (/ 1 eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(/ -1 (cos (- x (* -1 eps))))
(* -1 (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(cos (- x (* -1 eps)))

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

rewrite215.0ms (1.7%)

Memory

-5.5MiB live, 229.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	283
0	81	247
1	337	217
2	2957	217
0	8395	213

Stop Event

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

Counts

25 → 878

Calls

Call 1

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

eval157.0ms (1.2%)

Memory: 27.8MiB live, 218.7MiB allocated
Compiler: Compiled 34 744 to 4 350 computations (87.5% saved)

prune32.0ms (0.3%)

Memory

-8.2MiB live, 67.0MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	968	11	979
Fresh	2	8	10
Picked	4	1	5
Done	0	1	1
Total	974	21	995

Accuracy

100.0%

Counts

995 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
▶	60.8%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	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)))
	59.5%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	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 (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))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
▶	98.9%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (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))
▶	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)))))
	60.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	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))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
▶	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 1 002 to 603 computations (39.8% saved)

simplify131.0ms (1%)

Memory

-4.4MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
cost-diff	256	(neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))
cost-diff	320	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(cos.f64 (+.f64 eps x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
cost-diff	448	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.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 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) x eps)
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
cost-diff	0	(+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
cost-diff	0	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (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))
cost-diff	960	(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)
cost-diff	18880	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	405
0	111	403
1	204	397
2	473	386
3	1514	385
4	3649	385
5	6125	385
0	8343	372

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (2.1%)

Memory

-9.4MiB live, 277.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (tan.f64 eps))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64))))
accuracy	0.03125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	25.05216205395999	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
accuracy	0.11659089903970274	(sin.f64 (+.f64 eps x))
accuracy	0.11986451520302781	(cos.f64 (+.f64 eps x))
accuracy	25.110425013568758	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
accuracy	0.0	(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	0.0	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
accuracy	1.7617745111443686	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps))
accuracy	0.029628759768442016	(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))
accuracy	0.03125	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.10384750976844201	(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))))
accuracy	0.7118795870851485	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (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))

Samples

119.0ms	100×	1	valid
71.0ms	151×	0	valid
7.0ms	1×	3	valid
5.0ms	4×	2	valid

Compiler

Compiled 729 to 136 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 27.0ms (16.4% of total)

ival-pow2: 26.0ms (15.8% of total)

adjust: 20.0ms (12.1% of total)

ival-add: 19.0ms (11.5% of total)

ival-div: 16.0ms (9.7% of total)

ival-sin: 16.0ms (9.7% of total)

ival-tan: 14.0ms (8.5% of total)

ival-neg: 11.0ms (6.7% of total)

ival-cos: 6.0ms (3.6% of total)

ival-pow: 6.0ms (3.6% of total)

ival-sub: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

series50.0ms (0.4%)

Memory

26.5MiB live, 64.4MiB allocated

Counts

25 → 151

Calls

Call 1

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

Outputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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
(* x (+ 1 (* 4/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (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)
(+ (* 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
(- (/ (* x (sin eps)) (cos eps)) 1)
(- (* x (- (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) 1)
(- (* x (- (* (pow x 2) (- (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (* -1 (/ (sin eps) (cos eps))))) 1)
(* -1 (/ (sin eps) (cos eps)))
(- (* -1 x) (/ (sin eps) (cos eps)))
(- (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))
(- (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
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 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 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))))))))
(- (* -1 (/ (* x (sin eps)) (cos eps))) 1)
(- (* x (- (* -1 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))) 1)
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 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 x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(/ -1 (cos (+ eps x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(pow (cos x) 2)
(/ (pow (sin x) 3) (pow (cos x) 3))
(sin (+ eps x))
(/ -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(/ -1 (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- eps (* -1 x)))
(/ (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 (+ (* 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 (- 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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(pow eps 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 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (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))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (* eps (sin x)) (cos x)) 1)
(- (* eps (- (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1 (/ (sin x) (cos x))))) 1)
(- (* eps (- (* (pow eps 2) (- (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1/3 (/ (sin x) (cos x))))) (* -1 (/ (sin x) (cos x))))) 1)
(* -1 (/ (sin x) (cos x)))
(- (* -1 eps) (/ (sin x) (cos x)))
(- (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (sin x) (cos x)))
(- (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(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 (- (* -1 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x)))) 1)
(- (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin x) (cos x))) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))) 1)
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (+ (/ (sin x) (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))))))
(/ (* (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))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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)))
(sin (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	0	((+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (/ -1 (cos (+ eps x))) (neg (sin (+ eps x)))) (neg (tan x))) (/ -1 (cos (+ eps x))) (cos (+ eps x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (/ (sin x) (cos x)) 3) (sin (+ eps x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
9.0ms	x	@	inf	((+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (/ -1 (cos (+ eps x))) (neg (sin (+ eps x)))) (neg (tan x))) (/ -1 (cos (+ eps x))) (cos (+ eps x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (/ (sin x) (cos x)) 3) (sin (+ eps x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
9.0ms	x	@	-inf	((+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (/ -1 (cos (+ eps x))) (neg (sin (+ eps x)))) (neg (tan x))) (/ -1 (cos (+ eps x))) (cos (+ eps x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (/ (sin x) (cos x)) 3) (sin (+ eps x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
8.0ms	eps	@	inf	((+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (/ -1 (cos (+ eps x))) (neg (sin (+ eps x)))) (neg (tan x))) (/ -1 (cos (+ eps x))) (cos (+ eps x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (/ (sin x) (cos x)) 3) (sin (+ eps x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))
8.0ms	eps	@	-inf	((+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (/ (sin eps) (cos eps)) (sin eps) (cos eps) (+ (* (/ -1 (cos (+ eps x))) (neg (sin (+ eps x)))) (neg (tan x))) (/ -1 (cos (+ eps x))) (cos (+ eps x)) (+ eps x) (+ (* (neg (+ (tan eps) (tan x))) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1)))) (neg (tan x))) (neg (+ (* (neg (tan eps)) (tan x)) 1)) (neg (+ (tan eps) (tan x))) (+ (tan eps) (tan x)) (pow (cos x) 2) (pow (/ (sin x) (cos x)) 3) (sin (+ eps x)) (/ 1 (neg (+ (* (neg (tan eps)) (tan x)) 1))) (neg (tan eps)))

simplify174.0ms (1.4%)

Memory

-29.0MiB live, 128.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	3223
1	2179	3081
2	6818	2981
0	8377	2796

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 149

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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
(* x (+ 1 (* 4/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (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)
(+ (* 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
(- (/ (* x (sin eps)) (cos eps)) 1)
(- (* x (- (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) 1)
(- (* x (- (* (pow x 2) (- (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (* -1 (/ (sin eps) (cos eps))))) 1)
(* -1 (/ (sin eps) (cos eps)))
(- (* -1 x) (/ (sin eps) (cos eps)))
(- (* x (- (* -1/3 (pow x 2)) 1)) (/ (sin eps) (cos eps)))
(- (* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1)) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
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 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 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))))))))
(- (* -1 (/ (* x (sin eps)) (cos eps))) 1)
(- (* x (- (* -1 (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (sin eps) (cos eps)))) 1)
(- (* x (- (* x (- (* -1 (* x (+ (* 1/3 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))) 1)
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 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 x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(/ -1 (cos (+ eps x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(* -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(* -1 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(pow (cos x) 2)
(/ (pow (sin x) 3) (pow (cos x) 3))
(sin (+ eps x))
(/ -1 (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(/ -1 (cos (- eps (* -1 x))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(sin (- eps (* -1 x)))
(/ (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 (+ (* 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 (- 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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(pow eps 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 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (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))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (* eps (sin x)) (cos x)) 1)
(- (* eps (- (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1 (/ (sin x) (cos x))))) 1)
(- (* eps (- (* (pow eps 2) (- (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* -1/3 (/ (sin x) (cos x))))) (* -1 (/ (sin x) (cos x))))) 1)
(* -1 (/ (sin x) (cos x)))
(- (* -1 eps) (/ (sin x) (cos x)))
(- (* eps (- (* -1/3 (pow eps 2)) 1)) (/ (sin x) (cos x)))
(- (* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(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 (- (* -1 (/ (* eps (pow (sin x) 2)) (pow (cos x) 2))) (/ (sin x) (cos x)))) 1)
(- (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin x) (cos x))) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (sin x) (cos x)))) 1)
(* -1 eps)
(* eps (- (* -1/3 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1))
(* eps (+ (/ (sin x) (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))))))
(/ (* (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))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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)))
(sin (- x (* -1 eps)))

Outputs
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
(.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 (* (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 (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64)) eps) x (*.f64 eps eps)) x eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (- (+ (* 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)))
(fma.f64 (fma.f64 (+.f64 (fma.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 (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)))) x (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
x
(* x (+ 1 (* 4/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (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)))
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(pow (cos x) 2)
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(* 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)))))
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(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 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)))))
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(* eps (+ 1 (* eps x)))
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(* eps (+ 1 (* 1/3 (pow eps 2))))
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(* eps (+ 1 (* -1/6 (pow eps 2))))
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(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
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(/ -1 (cos x))
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(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(- (* -1 (/ (* eps (sin x)) (cos x))) 1)
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(* -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)
(* 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)
(* (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 (*.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 eps)
(/ (* (pow eps 2) (* (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 (.f64 eps eps) (cos.f64 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))))))
(fma.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))) (*.f64 eps eps) eps)
(* (pow eps 2) (+ x (/ 1 eps)))
(fma.f64 (*.f64 eps eps) x eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) 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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) 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))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ -1 (cos (- x (* -1 eps))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))

rewrite230.0ms (1.8%)

Memory

7.2MiB live, 160.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	335
0	111	301
1	482	252
2	4291	252
0	8803	247

Stop Event

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

Counts

25 → 579

Calls

Call 1

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

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

eval143.0ms (1.1%)

Memory: 15.9MiB live, 209.1MiB allocated
Compiler: Compiled 27 162 to 3 020 computations (88.9% saved)

prune99.0ms (0.8%)

Memory

7.2MiB live, 60.9MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	677	13	690
Fresh	5	9	14
Picked	3	2	5
Done	0	2	2
Total	685	26	711

Accuracy

100.0%

Counts

711 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	60.5%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	60.3%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	60.4%	(fma.f64 #s(approx (neg (+ (tan eps) (tan x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 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))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.5%	(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x)))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
▶	98.9%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	97.9%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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))
	97.6%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) 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))))
	60.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	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))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
	52.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) eps)))))
▶	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))

Compiler

Compiled 1 485 to 893 computations (39.9% saved)

simplify131.0ms (1%)

Memory

0.4MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(tan.f64 eps)
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	192	(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (+.f64 eps x))
cost-diff	128	(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x)))
cost-diff	192	(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x))
cost-diff	0	#s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))
cost-diff	0	#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))))
cost-diff	704	(/.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)))
cost-diff	0	(.f64 (.f64 eps eps) x)
cost-diff	0	#s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))
cost-diff	0	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
cost-diff	0	(+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
cost-diff	320	(fma.f64 (fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
cost-diff	12416	(fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	366
0	97	366
1	172	366
2	363	361
3	1026	358
4	2488	356
5	4599	356
6	7129	356
0	8053	343

Stop Event

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

Calls

Call 1

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

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

localize245.0ms (1.9%)

Memory

5.0MiB live, 202.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (tan.f64 x))
accuracy	0.01953125	(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
accuracy	0.03125	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	25.05216205395999	(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
accuracy	0.11659089903970274	(sin.f64 (+.f64 eps x))
accuracy	0.11986451520302781	(cos.f64 (+.f64 eps x))
accuracy	25.110425013568758	(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x))
accuracy	0.00390625	(/.f64 #s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 eps))
accuracy	0.12890625	(/.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)))
accuracy	0.48952070994319685	#s(approx (cos eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 1 binary64)))
accuracy	1.706756524310704	#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))))
accuracy	0.09765625	(.f64 (.f64 eps eps) x)
accuracy	0.7118795870851485	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
accuracy	1.7617745111443686	#s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x)))
accuracy	60.29541683541768	#s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))
accuracy	0.01953125	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.029628759768442016	(pow.f64 (tan.f64 x) #s(literal 3 binary64))
accuracy	0.10384750976844201	(fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
accuracy	0.7118795870851485	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))

Samples

114.0ms	99×	1	valid
79.0ms	152×	0	valid
7.0ms	1×	3	valid
5.0ms	4×	2	valid

Compiler

Compiled 632 to 128 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-cos: 54.0ms (30.8% of total)

ival-mult: 25.0ms (14.2% of total)

ival-add: 24.0ms (13.7% of total)

ival-tan: 14.0ms (8% of total)

ival-div: 14.0ms (8% of total)

adjust: 14.0ms (8% of total)

ival-pow2: 10.0ms (5.7% of total)

ival-pow: 8.0ms (4.6% of total)

ival-sub: 5.0ms (2.8% of total)

ival-sin: 5.0ms (2.8% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series50.0ms (0.4%)

Memory

1.4MiB live, 74.0MiB allocated

Counts

26 → 159

Calls

Call 1

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

Outputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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
(* x (+ 1 (* 4/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(* (pow eps 2) x)
(* -1 (/ (sin eps) (cos eps)))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)))))))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (+ (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 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 (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (sin eps) (cos eps))))
(- (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (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 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (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))))))))
(+ eps x)
(+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (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))) (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2)))) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* 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))))))))
(pow x 3)
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(cos eps)
(+ (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))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (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))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 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 x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* x (+ (/ eps x) (pow eps 2)))
(+ (* -1 (/ (sin (+ eps x)) (cos (+ eps x)))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (+ eps x)) (cos (+ eps x)))) (/ (sin x) (cos x))))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(/ (pow (sin x) 3) (pow (cos x) 3))
(/ (pow (sin x) 2) (pow (cos x) 2))
(cos (+ eps x))
(/ -1 (cos (+ eps x)))
(/ -1 (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1))
(* -1 (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(+ (* -1 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))) (/ (sin x) (cos x))))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos (- eps (* -1 x)))
(/ -1 (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 (+ 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 (- 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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ 1 eps)
(/ (+ 1 (* -1/3 (pow eps 2))) eps)
(/ (+ 1 (* (pow eps 2) (- (* -1/45 (pow eps 2)) 1/3))) eps)
(/ (+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/945 (pow eps 2)) 1/45)) 1/3))) eps)
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (+ (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (+ (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* 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))))))))))) (/ (sin x) (cos x))))
(* -1 (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- (* 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (/ (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 (+ (* eps (+ (* eps (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (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 (+ (* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 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)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ -1 (cos x))
(- (* -1 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (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 (+ (/ (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))))))
(/ (* (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))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (cos eps) (sin eps))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(cos (- x (* -1 eps)))
(/ -1 (cos (- x (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) (+ (* (+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (tan x) (pow (tan x) 3)) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (/ 1 (/ (cos eps) (sin eps))) (- (tan (+ x eps)) (tan x)) (/ (cos eps) (sin eps)) (cos eps) (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x)) (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) (sin (+ eps x)) (+ eps x) (+ (* (+ (tan eps) (tan x)) (/ -1 (+ (* (tan eps) (tan x)) -1))) (neg (tan x))) (+ (tan eps) (tan x)) (tan eps) (tan x) (pow (tan x) 3) (pow (tan x) 2) (cos (+ eps x)) (/ -1 (cos (+ eps x))) (/ -1 (+ (* (tan eps) (tan x)) -1)) (neg (tan x)))
11.0ms	eps	@	inf	((+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) (+ (* (+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (tan x) (pow (tan x) 3)) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (/ 1 (/ (cos eps) (sin eps))) (- (tan (+ x eps)) (tan x)) (/ (cos eps) (sin eps)) (cos eps) (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x)) (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) (sin (+ eps x)) (+ eps x) (+ (* (+ (tan eps) (tan x)) (/ -1 (+ (* (tan eps) (tan x)) -1))) (neg (tan x))) (+ (tan eps) (tan x)) (tan eps) (tan x) (pow (tan x) 3) (pow (tan x) 2) (cos (+ eps x)) (/ -1 (cos (+ eps x))) (/ -1 (+ (* (tan eps) (tan x)) -1)) (neg (tan x)))
7.0ms	x	@	-inf	((+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) (+ (* (+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (tan x) (pow (tan x) 3)) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (/ 1 (/ (cos eps) (sin eps))) (- (tan (+ x eps)) (tan x)) (/ (cos eps) (sin eps)) (cos eps) (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x)) (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) (sin (+ eps x)) (+ eps x) (+ (* (+ (tan eps) (tan x)) (/ -1 (+ (* (tan eps) (tan x)) -1))) (neg (tan x))) (+ (tan eps) (tan x)) (tan eps) (tan x) (pow (tan x) 3) (pow (tan x) 2) (cos (+ eps x)) (/ -1 (cos (+ eps x))) (/ -1 (+ (* (tan eps) (tan x)) -1)) (neg (tan x)))
7.0ms	eps	@	-inf	((+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) (+ (* (+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (tan x) (pow (tan x) 3)) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (/ 1 (/ (cos eps) (sin eps))) (- (tan (+ x eps)) (tan x)) (/ (cos eps) (sin eps)) (cos eps) (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x)) (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) (sin (+ eps x)) (+ eps x) (+ (* (+ (tan eps) (tan x)) (/ -1 (+ (* (tan eps) (tan x)) -1))) (neg (tan x))) (+ (tan eps) (tan x)) (tan eps) (tan x) (pow (tan x) 3) (pow (tan x) 2) (cos (+ eps x)) (/ -1 (cos (+ eps x))) (/ -1 (+ (* (tan eps) (tan x)) -1)) (neg (tan x)))
5.0ms	eps	@	0	((+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) (+ (* (+ (* (+ (tan x) (pow (tan x) 3)) eps) (pow (tan x) 2)) eps) eps) (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (+ (tan x) (pow (tan x) 3)) (- (tan (+ x eps)) (tan x)) (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (/ 1 (/ (cos eps) (sin eps))) (- (tan (+ x eps)) (tan x)) (/ (cos eps) (sin eps)) (cos eps) (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x)) (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) (sin (+ eps x)) (+ eps x) (+ (* (+ (tan eps) (tan x)) (/ -1 (+ (* (tan eps) (tan x)) -1))) (neg (tan x))) (+ (tan eps) (tan x)) (tan eps) (tan x) (pow (tan x) 3) (pow (tan x) 2) (cos (+ eps x)) (/ -1 (cos (+ eps x))) (/ -1 (+ (* (tan eps) (tan x)) -1)) (neg (tan x)))

simplify202.0ms (1.6%)

Memory

6.5MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	3792
1	2226	3504
2	7040	3436
0	8244	3238

Stop Event

1×	iter limit
1×	node limit

Counts

159 → 157

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* 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
(* x (+ 1 (* 4/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(* (pow eps 2) x)
(* -1 (/ (sin eps) (cos eps)))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)))))))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (+ (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 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 (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (sin eps) (cos eps))))
(- (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (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 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (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))))))))
(+ eps x)
(+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (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))) (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2)))) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(* 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))))))))
(pow x 3)
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(cos eps)
(+ (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))))
(/ -1 (cos eps))
(- (* -1 (/ (* x (sin eps)) (pow (cos eps) 2))) (/ 1 (cos eps)))
(- (* x (- (* -1 (* x (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (cos eps)))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/6 (/ (sin eps) (pow (cos eps) 2))) (+ (* 1/2 (/ (sin eps) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3)))) (cos eps)))))) (+ (* 1/2 (/ 1 (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (/ (sin eps) (pow (cos eps) 2)))) (/ 1 (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))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ eps (* eps (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 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 x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(* eps (* (+ 1 (/ (* eps (sin x)) (cos x))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* x (+ (/ eps x) (pow eps 2)))
(+ (* -1 (/ (sin (+ eps x)) (cos (+ eps x)))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (+ eps x)) (cos (+ eps x)))) (/ (sin x) (cos x))))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(/ (pow (sin x) 3) (pow (cos x) 3))
(/ (pow (sin x) 2) (pow (cos x) 2))
(cos (+ eps x))
(/ -1 (cos (+ eps x)))
(/ -1 (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1))
(* -1 (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(+ (* -1 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))) (/ (sin x) (cos x))))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos (- eps (* -1 x)))
(/ -1 (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 (+ 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 (- 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) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ 1 eps)
(/ (+ 1 (* -1/3 (pow eps 2))) eps)
(/ (+ 1 (* (pow eps 2) (- (* -1/45 (pow eps 2)) 1/3))) eps)
(/ (+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/945 (pow eps 2)) 1/45)) 1/3))) eps)
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))
(+ (* -1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (+ (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))) (/ (sin x) (cos x))))
(+ (* -1 (/ (sin x) (cos x))) (+ (* eps (+ (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* eps (+ (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* 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))))))))))) (/ (sin x) (cos x))))
(* -1 (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (* -1 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x))))
(- (* eps (- (* 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 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (/ (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 (+ (* eps (+ (* eps (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (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 (+ (* 1/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (sin x) (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (cos x)))) (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2)))))) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 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)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(/ -1 (cos x))
(- (* -1 (/ (* eps (sin x)) (pow (cos x) 2))) (/ 1 (cos x)))
(- (* eps (- (* -1 (* eps (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (cos x)))
(- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/6 (/ (sin x) (pow (cos x) 2))) (+ (* 1/2 (/ (sin x) (pow (cos x) 2))) (/ (* (sin x) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3)))) (cos x)))))) (+ (* 1/2 (/ 1 (cos x))) (/ (pow (sin x) 2) (pow (cos x) 3))))) (/ (sin x) (pow (cos x) 2)))) (/ 1 (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 (+ (/ (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))))))
(/ (* (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))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (cos eps) (sin eps))
(* eps (+ 1 (/ x eps)))
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x)))
(* -1 (+ (* -1 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(cos (- x (* -1 eps)))
(/ -1 (cos (- x (* -1 eps))))

Outputs
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* 4/3 (* eps x))))))
(.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ (* 2/3 x) (* 4/3 eps)))))))
(.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 (* (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 (* 4/3 (* (pow eps 2) x)))) (pow eps 2))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64)) eps) x (*.f64 eps eps)) x eps)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ (* x (- (+ (* 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)))
(fma.f64 (fma.f64 (fma.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 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (+.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 (* 4/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 4/3 (* 17/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 17/15 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 17/15 (* 248/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 248/315 binary64) (.f64 x x) #s(literal 17/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x)
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (/.f64 (+.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 (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.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)))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))) (pow eps 2))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64)) eps) x (*.f64 eps eps)) x eps)
(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
(* -1 (/ (sin eps) (cos eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))))
(-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.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 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))
(+ (* -1 (/ (sin eps) (cos eps))) (* x (+ 1 (+ (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* x (+ (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* 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)))))))))))))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (sin.f64 eps)) (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)) (neg.f64 (cos.f64 eps)))) x (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (* -1 (* x (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (sin eps) (cos eps))))
(fma.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (+ 1 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (sin eps) (cos eps))))
(fma.f64 (-.f64 (fma.f64 (/.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 #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (* x (- (* 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 (* -1 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (sin eps) (cos eps))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (/.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(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 #s(literal -1/2 binary64) (sin.f64 eps)) x (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) x (sin.f64 eps))
(+ eps x)
(+.f64 eps x)
(+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (/.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 (+ (* x (+ (* x (+ (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2)))) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.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 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (sin.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 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 (/ (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)))
(* 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))))))))
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(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (pow x 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* 11/15 (pow x 2))))))
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(* (pow x 3) (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/15 (* 88/189 (pow x 2))))))))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
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(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
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(cos eps)
(cos.f64 eps)
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(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
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(/ -1 (cos eps))
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1
#s(literal 1 binary64)
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(* -1 x)
(neg.f64 x)
(* x (- (* -1/3 (pow x 2)) 1))
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(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
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(* x (+ (/ eps x) (pow eps 2)))
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(sin (+ eps x))
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(* x (+ 1 (/ eps x)))
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(/ (pow (sin x) 3) (pow (cos x) 3))
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(/ (pow (sin x) 2) (pow (cos x) 2))
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(/ -1 (cos (+ eps x)))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(/ -1 (- (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) 1))
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(* -1 (/ (sin x) (cos x)))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
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(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
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(sin (- eps (* -1 x)))
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(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps (neg.f64 x)) (neg.f64 x) x)
(cos (- eps (* -1 x)))
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(/ -1 (cos (- eps (* -1 x))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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(* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
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(* 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)))))
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(* 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)))))
(fma.f64 (fma.f64 (fma.f64 (fma.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 (sin.f64 x) (cos.f64 x)) (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 x) #s(literal 2/3 binary64)) (cos.f64 x)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)))) eps (+.f64 (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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) 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 (+.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 (- (* -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)))))
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(.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) (fma.f64 (/.f64 (sin.f64 x) eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (.f64 eps eps))
(/ (* (pow eps 2) (* (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 (.f64 eps eps) (cos.f64 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))))))
(.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))
(* (pow eps 2) (+ x (/ 1 eps)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) eps) eps)
(/ (cos eps) (sin eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) 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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) 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))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* -1 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
(* -1 (+ (* -1 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))) (/ (sin x) (cos x))))
(neg.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 (neg.f64 x) eps) (neg.f64 eps) eps)
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(/ -1 (cos (- x (* -1 eps))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))

rewrite254.0ms (2%)

Memory

-19.6MiB live, 262.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	327
0	97	327
1	433	295
2	3674	295
0	9288	289

Stop Event

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

Counts

26 → 589

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 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 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #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 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 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 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (pow.f64 (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (tan.f64 x) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 1 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)) (tan.f64 x) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal -2 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) #s(literal 1 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 1 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (tan.f64 x) (cos.f64 x)) (sin.f64 x) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (sin.f64 x) (.f64 (/.f64 (tan.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (sin.f64 x) (/.f64 (tan.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 eps (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
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(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (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 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(neg.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (tan.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (cos.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))))
(fma.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (+.f64 eps x))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x)))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (.f64 x x) (-.f64 eps x)))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))))
(pow.f64 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (cos.f64 (+.f64 eps x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
(neg.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 eps) (neg.f64 (tan.f64 x)))) (pow.f64 (.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.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)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(neg.f64 (pow.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(neg.f64 (tan.f64 x))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))

eval200.0ms (1.6%)

Memory: 12.2MiB live, 206.5MiB allocated
Compiler: Compiled 33 512 to 3 565 computations (89.4% saved)

prune48.0ms (0.4%)

Memory

-15.6MiB live, 75.2MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	889	10	899
Fresh	1	16	17
Picked	1	4	5
Done	0	4	4
Total	891	34	925

Accuracy

100.0%

Counts

925 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(fma.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
✓	60.8%	(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
	60.8%	(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x))) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
	60.5%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	60.3%	(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
	60.4%	(fma.f64 #s(approx (neg (+ (tan eps) (tan x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 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))
	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
✓	60.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.5%	(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x)))
	59.8%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
	98.3%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (tan x) (pow (tan x) 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	97.9%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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))
	97.6%	#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) 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))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
	60.7%	#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
✓	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))))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
	97.3%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
✓	97.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
	52.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) eps)))))
	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
✓	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
	5.2%	#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))

Compiler

Compiled 2 433 to 923 computations (62.1% saved)

regimes39.0ms (0.3%)

Memory

12.7MiB live, 51.2MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #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)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) 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)))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (tan x) (pow (tan x) 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.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 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#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))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) eps))
#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))))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 (+.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) eps (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))
(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(fma.f64 #s(approx (neg (+ (tan eps) (tan x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 1 binary64))) eps))
(fma.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (tan.f64 eps)) (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x))) #s(literal -1 binary64))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
(-.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 (+.f64 (tan.f64 eps) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.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))
(/.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 eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (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))
(-.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))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.2%)

Memory

2.2MiB live, 40.5MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #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)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) 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)))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (tan x) (pow (tan x) 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.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 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#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))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) eps))
#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))))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (neg (tan 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)) (tan.f64 x) #s(literal 1 binary64)))) (neg.f64 (tan.f64 x)))

Outputs

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

Calls

3 calls:

10.0ms	eps
8.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.2%)

Memory

-7.1MiB live, 31.4MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #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)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) 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)))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (tan x) (pow (tan x) 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 eps (tan.f64 x) #s(literal 1 binary64)) eps)))
(neg.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (tan.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 eps x))) (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#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))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) #s(literal -1 binary64)))

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

Calls

3 calls:

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

regimes18.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #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)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) 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)))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (tan x) (pow (tan x) 3)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4/3 binary64) x)) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`eps`
98.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory

-22.9MiB live, 19.0MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (neg (+ (* (sin (+ eps x)) (/ -1 (cos (+ eps x)))) (tan x))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx ( (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64))) eps))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (+.f64 eps x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (* (/ (+ (tan eps) (tan x)) (- 1 (pow (* (tan eps) (tan x)) 2))) (+ (* (tan eps) (tan x)) 1)) (tan x)) (fma.f64 #s(approx (+ (* (+ (pow (/ (sin x) (cos x)) 3) (/ (sin x) (cos x))) eps) (/ (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)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos eps) (sin eps)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 eps eps) #s(literal -1/45 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 eps eps) #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)) #s(approx (* (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) (+ (/ (* (sin x) eps) (cos x)) 1)) eps) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps eps) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) x) 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)))

Outputs

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

Calls

3 calls:

8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	x
5.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

-27.3MiB live, 11.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	eps
2.0ms	x
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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)

regimes5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.6%	1	`x`
5.6%	1	`eps`
5.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`eps`
5.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify58.0ms (0.5%)

Memory

-5.9MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	96	350
1	161	350
2	327	349
3	888	345
4	2073	345
5	3845	345
6	6146	321

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.3s (10.3%)

Memory

2.7MiB live, 917.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	950
1	464	884
2	1539	873
3	6077	710
0	8335	686
0	651	3658
1	2095	3492
2	6685	3410
0	8382	3209
0	45	283
0	81	247
1	337	217
2	2957	217
0	8395	213
0	679	3223
1	2179	3081
2	6818	2981
0	8377	2796
0	670	3792
1	2226	3504
2	7040	3436
0	8244	3238
0	6	16
0	10	16
1	50	16
2	402	16
3	6137	16
0	8166	16
0	68	335
0	111	301
1	482	252
2	4291	252
0	8803	247

Stop Event

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

Compiler

Compiled 644 to 283 computations (56.1% saved)

preprocess87.0ms (0.7%)

Memory: -0.3MiB live, 73.4MiB allocated
Compiler: Compiled 738 to 220 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze45.0ms (0.4%)

sample6.8s (52.8%)

explain150.0ms (1.2%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0%)

localize88.0ms (0.7%)

series11.0ms (0.1%)

simplify229.0ms (1.8%)

rewrite321.0ms (2.5%)

eval66.0ms (0.5%)

prune29.0ms (0.2%)

simplify171.0ms (1.3%)

localize170.0ms (1.3%)

series317.0ms (2.5%)

simplify186.0ms (1.4%)

rewrite215.0ms (1.7%)

eval157.0ms (1.2%)

prune32.0ms (0.3%)

simplify131.0ms (1%)

localize266.0ms (2.1%)

series50.0ms (0.4%)

simplify174.0ms (1.4%)

rewrite230.0ms (1.8%)

eval143.0ms (1.1%)

prune99.0ms (0.8%)

simplify131.0ms (1%)

localize245.0ms (1.9%)

series50.0ms (0.4%)

simplify202.0ms (1.6%)

rewrite254.0ms (2%)

eval200.0ms (1.6%)

prune48.0ms (0.4%)

regimes39.0ms (0.3%)

regimes28.0ms (0.2%)

regimes25.0ms (0.2%)

regimes18.0ms (0.1%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify58.0ms (0.5%)

soundness1.3s (10.3%)

preprocess87.0ms (0.7%)

end0.0ms (0%)

Profiling

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

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