Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze64.0ms (0.9%)

Memory

2.5MiB live, 45.6MiB allocated; 10ms collecting garbage

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)

sample5.0s (67.4%)

Memory

48.2MiB live, 5 216.7MiB allocated; 1.8s collecting garbage

Samples

2.2s	25 936×	0	invalid
771.0ms	5 534×	1	valid
221.0ms	2 722×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-tan: 568.0ms (29.8% of total)

ival-fabs: 323.0ms (17% of total)

ival-add!: 241.0ms (12.7% of total)

ival-sub!: 207.0ms (10.9% of total)

ival-mult!: 170.0ms (8.9% of total)

ival-<: 169.0ms (8.9% of total)

adjust: 146.0ms (7.7% of total)

ival-and: 65.0ms (3.4% of total)

ival-assert: 13.0ms (0.7% of total)

Bogosity

explain123.0ms (1.6%)

Memory

-35.8MiB live, 159.8MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
216	2	(-5.1587759049949565e-42 1.2652462210984915e-44)	7	(1.5643146610814025e-71 2.2237615424728655e-73)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(tan.f64 (+.f64 x eps))`
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	211	15

Confusion

	Predicted +	Predicted -
+	209	7
-	2	38

Precision

0.990521327014218

Recall

0.9675925925925926

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	209	7	0
-	2	8	30

Precision?

0.9557522123893806

Recall?

1.0

Freqs

test

number	freq
0	45
1	211

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	342×	1	valid
11.0ms	170×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-tan: 17.0ms (58.6% of total)

adjust: 8.0ms (27.6% of total)

ival-sub!: 2.0ms (6.9% of total)

ival-add!: 2.0ms (6.9% of total)

preprocess345.0ms (4.6%)

Memory

46.2MiB live, 273.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	40	50
2	67	50
3	114	50
4	189	50
5	330	50
6	660	50
7	1513	50
8	2903	50
9	4334	50
0	6	7
0	10	7
1	16	7
2	25	7
3	41	7
4	66	7
5	117	7
6	221	7
7	472	7
8	1313	7
9	3234	7
10	5204	7
0	8088	7

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune7.0ms (0.1%)

Memory

-55.7MiB live, 0.9MiB allocated; 11ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series31.0ms (0.4%)

Memory

39.7MiB live, 39.7MiB allocated; 0ms collecting garbage

Counts

6 → 36

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
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite214.0ms (2.9%)

Memory

-7.8MiB live, 232.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1262
0	206	1117
1	1269	904
0	8326	874

Stop Event

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

Counts

42 → 87

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)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

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

eval13.0ms (0.2%)

Memory: -17.8MiB live, 27.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 929 to 400 computations (79.3% saved)

prune8.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	11	90

Accuracy

100.0%

Counts

90 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	63.6%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	62.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	8.6%	(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))

Compiler

Compiled 387 to 262 computations (32.3% saved)

series41.0ms (0.5%)

Memory

-22.1MiB live, 78.5MiB allocated; 10ms collecting garbage

Counts

36 → 170

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x)))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x)))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x)))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x)))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) x (sin eps) eps (- 1 (neg (pow (tan eps) 2))) 1 (neg (pow (tan eps) 2)) (pow (tan eps) 2) (tan eps) 2 (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ eps x) (cos (+ eps x)))
8.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) x (sin eps) eps (- 1 (neg (pow (tan eps) 2))) 1 (neg (pow (tan eps) 2)) (pow (tan eps) 2) (tan eps) 2 (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ eps x) (cos (+ eps x)))
5.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) x (sin eps) eps (- 1 (neg (pow (tan eps) 2))) 1 (neg (pow (tan eps) 2)) (pow (tan eps) 2) (tan eps) 2 (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ eps x) (cos (+ eps x)))
5.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) x (sin eps) eps (- 1 (neg (pow (tan eps) 2))) 1 (neg (pow (tan eps) 2)) (pow (tan eps) 2) (tan eps) 2 (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ eps x) (cos (+ eps x)))
5.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) x (sin eps) eps (- 1 (neg (pow (tan eps) 2))) 1 (neg (pow (tan eps) 2)) (pow (tan eps) 2) (tan eps) 2 (cos eps) (- (tan (+ x eps)) (tan x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) (+ (* 2/15 (* x x)) 1/3) 2/15 (* x x) 1/3 (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (/ (sin (+ eps x)) (cos (+ eps x))) (sin (+ eps x)) (+ eps x) (cos (+ eps x)))

rewrite216.0ms (2.9%)

Memory

25.5MiB live, 259.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	5354
0	728	4860
1	4009	4860
0	8444	4709

Stop Event

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

Counts

206 → 344

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))
(-.f64 (/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))
(.f64 (.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 x (sin.f64 eps))
x
(sin.f64 eps)
eps
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(tan.f64 eps)
#s(literal 2 binary64)
(cos.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
(tan.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)
(tan.f64 x)
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
(cos.f64 (+.f64 eps x))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps))))
#s(approx x #s(hole binary64 x))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (+ (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (+ (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x)))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x)))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x)))))))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x)))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x)))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (+ (* 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)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin x)))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (sin (+ eps x)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))

Outputs
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps)))))
(fma.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))
(fma.f64 x (-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps))
(+.f64 (tan.f64 eps) (.f64 (-.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
(-.f64 (.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x))) (neg.f64 (cos.f64 eps)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x)) (cos.f64 eps))
(.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (sin.f64 eps) x))
(.f64 (.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
x
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 eps) #s(literal -1 binary64)))
(sin.f64 eps)
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
eps
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
#s(literal 1 binary64)
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (neg.f64 (tan.f64 eps)) (neg.f64 (tan.f64 eps)))
(*.f64 (fabs.f64 (tan.f64 eps)) (fabs.f64 (tan.f64 eps)))
(*.f64 (exp.f64 (log.f64 (tan.f64 eps))) (exp.f64 (log.f64 (tan.f64 eps))))
(*.f64 (tan.f64 eps) (tan.f64 eps))
(pow.f64 (exp.f64 (log.f64 (tan.f64 eps))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64)))
(pow.f64 (tan.f64 eps) #s(literal 1 binary64))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 eps) #s(literal -1 binary64)))
(tan.f64 (+.f64 (+.f64 eps (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 eps (PI.f64)))
(tan.f64 eps)
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(pow.f64 (cos.f64 eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (tan.f64 eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))))
(-.f64 (tan.f64 (+.f64 eps x)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64)))))
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps (PI.f64))))
(tan.f64 (+.f64 x (+.f64 eps (PI.f64))))
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64)))
(tan.f64 (+.f64 eps x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))))
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(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(literal 2/15 binary64)
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
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(pow.f64 (*.f64 x x) #s(literal 1 binary64))
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(fabs.f64 (*.f64 x x))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
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(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 x (PI.f64)))
(tan.f64 x)
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(tan.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps (PI.f64))))
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(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps))
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#s(approx x x)
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#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (tan x) x)
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
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#s(approx (* x x) (*.f64 x x))
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#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (.f64 (*.f64 eps eps) x) #s(literal 5/6 binary64) x) eps))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 61/120 binary64) (.f64 #s(literal 5/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 277/1008 binary64) (.f64 #s(literal 61/120 binary64) x)) (.f64 eps eps) (.f64 #s(literal 5/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* x (sin eps)) (*.f64 eps x))
#s(approx (* x (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/6 binary64) x) eps))
#s(approx (* x (sin eps)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* x (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal 1/120 binary64) x)) (.f64 eps eps) (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx eps eps)
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(literal 1 binary64))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 eps eps #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (- 1 (neg (pow (tan eps) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (neg (pow (tan eps) 2)) (neg.f64 (*.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -17/45 binary64) (.f64 eps eps)) #s(literal 2/3 binary64)) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (neg (pow (tan eps) 2)) (.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -62/315 binary64) (.f64 eps eps)) #s(literal 17/45 binary64)) (.f64 eps eps)) #s(literal 2/3 binary64)) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (pow (tan eps) 2) (*.f64 eps eps))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/3 binary64) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (pow (tan eps) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 eps eps) #s(literal 17/45 binary64)) (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) (*.f64 eps eps)))
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (tan.f64 x))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (.f64 (-.f64 (fma.f64 eps (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1/6 binary64))))) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (tan.f64 x))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (sin (+ eps x)) (sin.f64 x))
#s(approx (sin (+ eps x)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ eps x)) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (sin (+ eps 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)))
#s(approx (cos (+ eps x)) (cos.f64 x))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps (cos.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- 1 (neg (pow (tan eps) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (pow (tan eps) 2)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (pow (tan eps) 2) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (/ (sin (+ eps x)) (cos (+ eps x))) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (/ (sin (+ eps x)) (cos (+ eps x))) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (sin (+ eps x)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (neg.f64 eps))))

eval82.0ms (1.1%)

Memory: -30.5MiB live, 151.5MiB allocated; 48ms collecting garbage
Compiler: Compiled 13 775 to 1 952 computations (85.8% saved)

prune14.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	412	9	421
Fresh	2	3	5
Picked	1	4	5
Done	0	1	1
Total	415	17	432

Accuracy

100.0%

Counts

432 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	8.6%	(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x)) x (tan.f64 eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	3.4%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 eps (PI.f64))))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps)))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
▶	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 807 to 521 computations (35.4% saved)

series37.0ms (0.5%)

Memory

-7.3MiB live, 39.9MiB allocated; 3ms collecting garbage

Counts

34 → 134

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (+ 1 (* 4/3 (* eps x)))))
#s(approx (* x 4/3) #s(hole binary64 (* 4/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* 4/3 (* eps x))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* x (+ (* 4/3 eps) (/ 1 x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* eps (* x (- (* -4/3 (pow eps 2)) 1))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (pow eps 2) x)) (* eps (- (* -4/3 (pow eps 2)) 1)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (* -4/3 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))) 1)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* x (- (* -4/3 eps) (/ 1 x))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* 4/3 (* eps x))))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* eps x) (pow x 2)))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* 4/3 (* (pow eps 3) x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* eps (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps x)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* eps (+ x (/ (pow x 2) eps)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 17/315 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* 17/315 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* 17/315 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* 17/315 (pow eps 2))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -4/3 x) (/ 1 eps))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -4/3 x) (* -1 (/ (+ 1 (/ x eps)) eps)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* eps (- (* -4/3 x) (/ 1 eps))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (+ (* eps x) (* x x)) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* eps x))
7.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (+ (* eps x) (* x x)) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* eps x))
5.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (+ (* eps x) (* x x)) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* eps x))
4.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (+ (* eps x) (* x x)) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* eps x))
4.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (+ (* eps x) (* x x)) (* x x) (- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (+ (* (* eps eps) 17/315) 2/15) (* eps eps) 17/315 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* eps x))

rewrite216.0ms (2.9%)

Memory

16.6MiB live, 156.6MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	4199
0	592	3969
1	3261	3764
0	8566	3637

Stop Event

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

Counts

168 → 322

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps)))
(fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps))
(.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)
(fma.f64 (fma.f64 (*.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x)
(fma.f64 (*.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64))
(*.f64 x #s(literal 4/3 binary64))
x
#s(literal 4/3 binary64)
eps
#s(literal 1 binary64)
(tan.f64 eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))
#s(approx (tan eps) eps)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))
(.f64 (+.f64 (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps)
(+.f64 (fma.f64 eps x (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 eps x (*.f64 x x))
(*.f64 x x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
(*.f64 eps eps)
#s(literal 17/315 binary64)
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x)) x (tan.f64 eps)))
(fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x)) x (tan.f64 eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x))
(*.f64 eps x)
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (+ 1 (* 4/3 (* eps x)))))
#s(approx (* x 4/3) #s(hole binary64 (* 4/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* x (+ eps x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* 4/3 (* eps x))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* x (+ (* 4/3 eps) (/ 1 x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* eps (* x (- (* -4/3 (pow eps 2)) 1))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (pow eps 2) x)) (* eps (- (* -4/3 (pow eps 2)) 1)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (* -4/3 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))) 1)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* x (- (* -4/3 eps) (/ 1 x))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* 4/3 (* eps x))))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* eps x) (pow x 2)))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (+ 2/15 (* 17/315 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* 4/3 (* (pow eps 3) x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* eps (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps x)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* eps (+ x (/ (pow x 2) eps)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 17/315 (pow eps 7))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* 17/315 (pow eps 6))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* 17/315 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(hole binary64 (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* 17/315 (pow eps 2))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(hole binary64 (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -4/3 x) (/ 1 eps))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -4/3 x) (* -1 (/ (+ 1 (/ x eps)) eps)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* eps (- (* -4/3 x) (/ 1 eps))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))))
#s(approx (+ (* eps x) (* x x)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) (tan.f64 eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) (tan.f64 eps)))))
(fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (cos.f64 x)) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1/6 binary64))))) (+.f64 (fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64))) eps (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 eps x) (.f64 (.f64 #s(literal 4/3 binary64) x) x)) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 eps x))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 (+.f64 eps x) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) eps (.f64 #s(literal 4/3 binary64) x)) eps #s(literal 1 binary64)) eps x) eps))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 eps x))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 (+.f64 eps x) eps))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps x) eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) x)
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+.f64 eps x))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps x))
#s(approx eps eps)
#s(approx (tan eps) eps)
#s(approx (tan eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (*.f64 (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)) eps))
#s(approx (+ (+ (* eps x) (* x x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (+ (* eps x) (* x x)) 1) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)))
#s(approx (+ (* eps x) (* x x)) (*.f64 (+.f64 eps x) x))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* eps eps) 17/315) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 4/3 binary64)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (/.f64 x (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 4/3 binary64)))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (fma.f64 (.f64 #s(literal 4/3 binary64) x) (.f64 eps eps) eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (/.f64 x (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (* x 4/3) eps) 1) (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (.f64 eps eps) x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) (.f64 eps eps)))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 eps x))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps))
#s(approx (+ (* eps x) (* x x)) (.f64 (+.f64 (/.f64 (.f64 x x) eps) x) eps))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 17/315 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (*.f64 (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 eps #s(literal -6 binary64)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) (*.f64 (+.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 eps #s(literal -6 binary64)))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 17/315 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) #s(literal 17/315 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (.f64 (.f64 eps eps) #s(literal 17/315 binary64)))
#s(approx (+ (* (* eps eps) 17/315) 2/15) (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) #s(literal 17/315 binary64)) (.f64 eps eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -4/3 binary64) x) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -4/3 binary64) x (neg.f64 (/.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (fma.f64 #s(literal 4/3 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* x 4/3) eps) 1) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -4/3 binary64) x) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x))))
#s(approx (+ (* eps x) (* x x)) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) eps) x))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (.f64 eps eps))) #s(literal 17/315 binary64)) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* eps eps) 17/315) 2/15) (* eps eps)) 1/3) (* eps eps)) 1) eps) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/15 binary64) #s(literal 17/315 binary64))) (pow.f64 eps #s(literal 7 binary64)))))

eval62.0ms (0.8%)

Memory: -27.6MiB live, 117.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 18 292 to 2 050 computations (88.8% saved)

prune19.0ms (0.3%)

Memory

-1.7MiB live, 45.6MiB allocated; 1ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	402	6	408
Fresh	1	6	7
Picked	3	2	5
Done	2	3	5
Total	408	17	425

Accuracy

100.0%

Counts

425 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x (tan.f64 eps)))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 eps x)) x #s(approx (tan eps) (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)) eps)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps)))
▶	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) x #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 #s(approx (+ ( eps x) (* x x)) (*.f64 eps x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 #s(approx (+ (+ ( eps x) (* x x)) 1) (fma.f64 eps x #s(literal 1 binary64))) eps)))
▶	6.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 #s(approx (+ (+ ( eps x) (* x x)) 1) (*.f64 x x)) eps)))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 1 083 to 667 computations (38.4% saved)

series35.0ms (0.5%)

Memory

14.8MiB live, 61.5MiB allocated; 3ms collecting garbage

Counts

39 → 213

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* 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)))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 1))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (+ 1 (* 4/3 (* eps x)))))
#s(approx (* x 4/3) #s(hole binary64 (* 4/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* x x) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* x x) 1) eps) #s(hole binary64 (+ eps (* eps (pow x 2)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (+ eps (* (pow eps 2) x))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (+ eps (* x (+ (* eps x) (pow eps 2))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (+ 1 (* eps x))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (+ 1 (* x (+ eps x)))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* eps x))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (+ x (* 1/3 eps))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (* eps x)))))))
#s(approx (+ (* (* x 4/3) x) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x 4/3) x) 1/3) #s(hole binary64 (+ 1/3 (* 4/3 (pow x 2)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (* x (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* 4/3 (* eps x))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* x (+ (* 4/3 eps) (/ 1 x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))))
#s(approx (* (+ (* x x) 1) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (* x x) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (pow eps 2) x)))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ eps x)))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1 (pow x 2)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) (pow x 2)) (/ (pow eps 2) x))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ eps x))))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* 4/3 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (+ (* 4/3 eps) (/ 1 x))))))
#s(approx (+ (* (* x 4/3) x) 1/3) #s(hole binary64 (* 4/3 (pow x 2))))
#s(approx (+ (* (* x 4/3) x) 1/3) #s(hole binary64 (* (pow x 2) (+ 4/3 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* eps (* x (- (* -4/3 (pow eps 2)) 1))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (pow eps 2) x)) (* eps (- (* -4/3 (pow eps 2)) 1)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (* -4/3 (pow eps 2)) 1)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* -1 (* x (- (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))) 1)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* x (- (* -4/3 eps) (/ 1 x))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ eps x)) (* -1 (pow eps 2))) x))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 eps) (/ 1 x)) x))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x)) (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1/3 (/ eps x)) 1) x)) (* 4/3 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* 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)))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2))))))
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x)))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x)))))))))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x)))))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* 4/3 (* eps x))))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (+ x (* eps (+ 1 (* 4/3 (* eps x)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2)))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* eps x) (pow x 2)))))
#s(approx (* (+ (* x x) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (+ 1 (+ (* eps x) (pow x 2)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (pow x 2)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* eps x) (pow x 2)))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (+ (* eps x) (pow x 2))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* 4/3 (* (pow eps 3) x))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* (pow eps 3) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* 4/3 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* eps (+ (* 4/3 x) (/ 1 eps)))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 2/15 (pow eps 5))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* 2/15 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* 2/15 (pow eps 2))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps x)))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (+ (* (+ eps x) x) 1) eps) #s(hole binary64 (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* eps x)))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* eps (+ x (+ (/ 1 eps) (/ (pow x 2) eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* eps (+ 1/3 (* 4/3 (pow x 2))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -4/3 x) (/ 1 eps))))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -4/3 x) (* -1 (/ (+ 1 (/ x eps)) eps)))))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))))
#s(approx (+ (* (* x 4/3) eps) 1) #s(hole binary64 (* -1 (* eps (- (* -4/3 x) (/ 1 eps))))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))))
#s(approx (+ (* (+ eps x) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) #s(hole binary64 (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (* x x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* x x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* (+ eps x) x) 1) eps) (+ (* (+ eps x) x) 1) (+ eps x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (+ (* (* x 4/3) x) 1/3))
6.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (* x x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* x x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* (+ eps x) x) 1) eps) (+ (* (+ eps x) x) 1) (+ eps x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (+ (* (* x 4/3) x) 1/3))
4.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (* x x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* x x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* (+ eps x) x) 1) eps) (+ (* (+ eps x) x) 1) (+ eps x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (+ (* (* x 4/3) x) 1/3))
4.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (* x x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* x x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* (+ eps x) x) 1) eps) (+ (* (+ eps x) x) 1) (+ eps x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (+ (* (* x 4/3) x) 1/3))
4.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (+ (* (* x 4/3) eps) 1) (* x 4/3) x 4/3 eps 1 (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) 2/15 1/3 (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* eps x) (* x x)) 1) eps) (+ (+ (* eps x) (* x x)) 1) (* x x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* x x) 1) eps) (+ (* x x) 1) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (* (+ eps x) x) 1) eps) (+ (* (+ eps x) x) 1) (+ eps x) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (+ (* (* x 4/3) x) 1/3))

rewrite215.0ms (2.9%)

Memory

-18.4MiB live, 268.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	760	6289
0	799	5941
1	4365	5932
0	9356	5734

Stop Event

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

Counts

252 → 438

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 2 binary64)) (pow.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))))
(fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(fma.f64 x #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(+.f64 (.f64 #s(approx (- (/ ( (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(+.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)) x))
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x))
(fma.f64 eps x (.f64 (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) eps))
(fma.f64 eps x (.f64 eps (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps)))
(fma.f64 x eps (.f64 (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) eps))
(fma.f64 x eps (.f64 eps (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps)))
(+.f64 (.f64 eps x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) eps))
(+.f64 (.f64 eps x) (.f64 eps (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) x))))
(fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps x)
(fma.f64 eps (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) x)
(-.f64 x (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps) x)
(+.f64 x (.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)) eps))
(*.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) eps)
(*.f64 eps (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4/3 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 4/3 binary64) x) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 4/3 binary64) x) eps) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 4/3 binary64) x) eps (.f64 eps (pow.f64 eps #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64))
(fma.f64 eps (.f64 #s(literal 4/3 binary64) x) (.f64 eps (pow.f64 eps #s(literal -1 binary64))))
(fma.f64 eps (*.f64 #s(literal 4/3 binary64) x) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 4/3 binary64) eps) (.f64 eps (pow.f64 eps #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 4/3 binary64) eps) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 eps) (.f64 #s(literal 4/3 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) (*.f64 eps (pow.f64 eps #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 4/3 binary64) x) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4/3 binary64) x) eps))
(*.f64 #s(literal 4/3 binary64) x)
(*.f64 x #s(literal 4/3 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 5/6 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal 5/6 binary64) x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 125/216 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 5/6 binary64) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 5/6 binary64) x) (*.f64 #s(literal -1/2 binary64) x)))))
(fma.f64 #s(literal 5/6 binary64) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 5/6 binary64) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (.f64 #s(literal 5/6 binary64) x) (.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal 5/6 binary64) x) (.f64 #s(literal 1/2 binary64) x))
x
#s(literal 4/3 binary64)
eps
#s(literal 1 binary64)
#s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) eps))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)))
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#s(approx (+ (+ (* eps x) (* x x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (+ (* eps x) (* x x)) 1) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (*.f64 (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps x) eps (.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (*.f64 x x))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (*.f64 (+.f64 eps x) x))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps x) eps (.f64 x x)))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) x)
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps x))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 4/3 binary64)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (/.f64 x (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 4/3 binary64)))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (fma.f64 (.f64 #s(literal 4/3 binary64) x) (.f64 eps eps) eps))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) x (pow.f64 eps #s(literal -1 binary64))) (/.f64 x (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (* x 4/3) eps) 1) (fma.f64 (*.f64 #s(literal 4/3 binary64) x) eps #s(literal 1 binary64)))
#s(approx (tan eps) (tan.f64 eps))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64))))
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* eps eps) 2/15) 1/3) (.f64 (.f64 eps eps) #s(literal 2/15 binary64)))
#s(approx (+ (* (* eps eps) 2/15) 1/3) (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 2/15 binary64)) (.f64 eps eps)))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (.f64 eps eps) x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) (.f64 eps eps)))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 eps x))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (.f64 eps eps) x))
#s(approx (* (+ (+ (* eps x) (* x x)) 1) eps) (.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) (.f64 eps eps)))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 eps x))
#s(approx (+ (+ (* eps x) (* x x)) 1) (*.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) (+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) (/.f64 x eps)) (pow.f64 eps #s(literal -2 binary64)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) (+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) (/.f64 x eps)) (pow.f64 eps #s(literal -2 binary64)))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) (/.f64 x eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64)) eps))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x)))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -4/3 binary64) x) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (* (+ (* (+ (* (* x 4/3) eps) 1) eps) x) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -4/3 binary64) x (neg.f64 (/.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)))))
#s(approx (+ (* (+ (* (* x 4/3) eps) 1) eps) x) (.f64 (fma.f64 #s(literal 4/3 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* x 4/3) eps) 1) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal -4/3 binary64) x) (pow.f64 eps #s(literal -1 binary64)))))
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -4 binary64)))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (+ (+ (* eps x) (* x x)) 1) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x))))
#s(approx (+ (+ (* eps x) (* x x)) 1) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)))))
#s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 1/3 binary64))))))
#s(approx (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) eps) x) eps)))) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 4/3 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps))) #s(literal 1/3 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) (.f64 (neg.f64 eps) (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 4/3 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)))))

eval70.0ms (0.9%)

Memory: 30.3MiB live, 122.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 30 903 to 2 711 computations (91.2% saved)

prune74.0ms (1%)

Memory

17.3MiB live, 64.6MiB allocated; 2ms collecting garbage

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	2	5	7
Picked	2	3	5
Done	1	4	5
Total	509	18	527

Accuracy

100.0%

Counts

527 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
	3.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
✓	63.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	63.0%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x #s(approx (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))))
✓	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (.f64 (fma.f64 (fma.f64 (.f64 x #s(literal 4/3 binary64)) eps #s(literal 1 binary64)) eps x) eps)) x #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 eps (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) x) x #s(literal 1/3 binary64)) eps x) eps (fma.f64 x x #s(literal 1 binary64))) eps)))
✓	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 (+.f64 eps x) x #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 #s(approx (+ eps x) eps) x #s(literal 1 binary64)) eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* x 4/3) x) 1/3) #s(literal 1/3 binary64)) eps x) eps (*.f64 x x)) #s(literal 1 binary64)) eps)))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 (+.f64 #s(approx (+ ( eps x) (* x x)) (*.f64 eps x)) #s(literal 1 binary64)) eps)))
✓	6.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (.f64 #s(approx (+ (+ ( eps x) (* x x)) 1) (*.f64 x x)) eps)))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(approx (* (+ (+ (* (+ (* (+ (* (* x 4/3) x) 1/3) eps) x) eps) (* x x)) 1) eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) x) eps (*.f64 eps eps)) x)))))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(approx (* (+ (* x x) 1) eps) (fma.f64 (*.f64 x x) eps eps))))
✓	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Compiler

Compiled 1 841 to 638 computations (65.3% saved)

regimes86.0ms (1.2%)

Memory

-29.5MiB live, 76.7MiB allocated; 85ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

22.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
8.0ms	x
8.0ms	eps

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.3%)

Memory

-2.7MiB live, 38.4MiB allocated; 14ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	x
4.0ms	eps
4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

-22.1MiB live, 20.9MiB allocated; 10ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	x
3.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	eps

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.4%)

Memory

-49.2MiB live, 11.1MiB allocated; 27ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

25.0ms	x
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Accuracy

Total -59.3b remaining (-9654.5%)

Threshold costs -59.3b (-9654.5%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify48.0ms (0.6%)

Memory

11.7MiB live, 59.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	392
1	130	392
2	266	378
3	791	378
4	3258	378

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations279.0ms (3.7%)

Memory

1.9MiB live, 191.8MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 392 to 89 computations (77.3% saved)

preprocess39.0ms (0.5%)

Memory: 8.4MiB live, 54.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 798 to 190 computations (76.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze64.0ms (0.9%)

sample5.0s (67.4%)

explain123.0ms (1.6%)

preprocess345.0ms (4.6%)

eval0.0ms (0%)

prune7.0ms (0.1%)

series31.0ms (0.4%)

rewrite214.0ms (2.9%)

eval13.0ms (0.2%)

prune8.0ms (0.1%)

series41.0ms (0.5%)

rewrite216.0ms (2.9%)

eval82.0ms (1.1%)

prune14.0ms (0.2%)

series37.0ms (0.5%)

rewrite216.0ms (2.9%)

eval62.0ms (0.8%)

prune19.0ms (0.3%)

series35.0ms (0.5%)

rewrite215.0ms (2.9%)

eval70.0ms (0.9%)

prune74.0ms (1%)

regimes86.0ms (1.2%)

regimes24.0ms (0.3%)

regimes12.0ms (0.2%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes28.0ms (0.4%)

regimes4.0ms (0.1%)

simplify48.0ms (0.6%)

derivations279.0ms (3.7%)

preprocess39.0ms (0.5%)

end0.0ms (0%)

Profiling