Metrics for 2tan (problem 3.3.2)

start27.0ms (0.2%)

Memory: 0.1MiB live, 0.1MiB allocated; 19ms collecting garbage

analyze38.0ms (0.3%)

Memory

-1.0MiB live, 45.4MiB allocated; 0ms 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)

sample6.6s (48.7%)

Memory

134.5MiB live, 8 043.0MiB allocated; 1.7s collecting garbage

Samples

3.5s	26 266×	0	invalid
1.0s	5 077×	1	valid
293.0ms	3 179×	0	valid

Precisions

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

const: 743.0ms (20.8% of total)

ival-tan: 677.0ms (18.9% of total)

ival-<=: 350.0ms (9.8% of total)

ival-<: 336.0ms (9.4% of total)

ival-add: 298.0ms (8.3% of total)

ival-fabs: 280.0ms (7.8% of total)

ival-mult: 263.0ms (7.3% of total)

adjust: 252.0ms (7% of total)

ival-sub: 211.0ms (5.9% of total)

ival-and: 110.0ms (3.1% of total)

exact: 45.0ms (1.3% of total)

ival-assert: 14.0ms (0.4% of total)

Bogosity

explain168.0ms (1.2%)

Memory

24.1MiB live, 113.6MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
218	0	-	4	(8.409635607214193e-183 9.28259171940853e-185)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
2	1	(-936.3806088081378 620.4293336407345)	1	(-22.21488810973025 0.005650194264950626)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	214	8
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	215	4
-	1	36

Precision

0.9953703703703703

Recall

0.9817351598173516

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	215	4	0
-	1	4	32

Precision?

0.9776785714285714

Recall?

1.0

Freqs

test

number	freq
0	40
1	216

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

99.0ms	306×	1	valid
10.0ms	202×	0	valid
1.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

adjust: 73.0ms (77.9% of total)

ival-tan: 12.0ms (12.8% of total)

ival-add: 4.0ms (4.3% of total)

ival-sub: 4.0ms (4.3% of total)

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

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

preprocess335.0ms (2.5%)

Memory

-4.6MiB live, 233.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	35	43
2	62	43
3	109	43
4	184	43
5	328	43
6	654	43
7	1492	43
8	3439	43
9	4340	43
10	6665	43
11	7416	43
12	7872	43
0	6	7
0	10	7
1	16	7
2	25	7
3	41	7
4	66	7
5	117	7
6	211	7
7	474	7
8	1311	7
9	2274	7
10	3303	7
11	3588	7
12	3771	7
13	3850	7
14	3868	7
15	3874	7
16	3880	7
17	3886	7
18	3892	7
19	3898	7
20	3904	7
21	3910	7
22	3916	7
23	3922	7
24	3928	7
25	7779	7
0	8041	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify292.0ms (2.1%)

Memory

1.7MiB live, 145.3MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	16	18
2	25	18
3	41	18
4	66	18
5	117	18
6	211	18
7	474	18
8	1311	18
9	2274	18
10	3303	18
11	3588	18
12	3771	18
13	3850	18
14	3868	18
15	3874	18
16	3880	18
17	3886	18
18	3892	18
19	3898	18
20	3904	18
21	3910	18
22	3916	18
23	3922	18
24	3928	18
25	7779	18
0	8041	18

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.08544963818871222	(tan.f64 (+.f64 x eps))
accuracy	23.472031266232797	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

18.0ms	153×	1	valid
5.0ms	101×	0	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-tan: 6.0ms (38.1% of total)

adjust: 6.0ms (38.1% of total)

ival-add: 2.0ms (12.7% of total)

ival-sub: 2.0ms (12.7% of total)

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

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

series33.0ms (0.2%)

Memory

-31.8MiB live, 12.1MiB allocated; 12ms collecting garbage

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
1.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify210.0ms (1.5%)

Memory

6.4MiB live, 147.5MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	970
1	488	910
2	1845	849
0	8454	797

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite212.0ms (1.6%)

Memory

25.4MiB live, 121.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16

Stop Event

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

Counts

4 → 158

Calls

Call 1

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

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

eval37.0ms (0.3%)

Memory: -17.3MiB live, 28.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune11.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	170	13	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	14	184

Accuracy

100.0%

Counts

184 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(/.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 x) (tan.f64 (+.f64 eps x))))
	63.3%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.2%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	63.2%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
▶	63.3%	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
▶	53.1%	(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
	5.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
▶	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
✓	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) x) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (cos.f64 eps)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	97.1%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 575 to 328 computations (43% saved)

simplify156.0ms (1.1%)

Memory

-14.5MiB live, 76.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
cost-diff	8	(+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(+.f64 (tan.f64 eps) (tan.f64 x))
cost-diff	0	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
cost-diff	0	(/.f64 x (-.f64 x eps))
cost-diff	0	(tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))))
cost-diff	0	(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
cost-diff	4	(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
cost-diff	0	(+.f64 (PI.f64) x)
cost-diff	0	(+.f64 (+.f64 (PI.f64) x) eps)
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
cost-diff	2	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
cost-diff	3	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	391
0	82	375
1	142	362
2	289	355
3	838	355
4	3446	351
0	8547	347

Stop Event

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

Calls

Call 1

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

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

localize815.0ms (6%)

Memory

-372.4MiB live, 430.7MiB allocated; 1.0s collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
accuracy	23.445644986927473	(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
accuracy	0.0	(neg.f64 (tan.f64 x))
accuracy	0.00390625	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	23.445644986927473	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
accuracy	0.22265625	(/.f64 x (-.f64 x eps))
accuracy	0.26791000976844204	(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
accuracy	23.445644986927473	(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
accuracy	28.21885947330131	(/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))
accuracy	0.0234375	(+.f64 (PI.f64) x)
accuracy	0.9687264153926188	(PI.f64)
accuracy	23.445644986927473	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
accuracy	56.22368240356354	(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
accuracy	0.0390625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.13671875	(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
accuracy	0.8723212227066041	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))

Samples

696.0ms	248×	1	valid
48.0ms	4×	5	exit
2.0ms	4×	0	valid

Compiler

Compiled 385 to 48 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-mult: 439.0ms (62.1% of total)

ival-tan: 111.0ms (15.7% of total)

adjust: 81.0ms (11.5% of total)

ival-div: 22.0ms (3.1% of total)

ival-add: 21.0ms (3% of total)

ival-sub: 12.0ms (1.7% of total)

ival-pow2: 9.0ms (1.3% of total)

ival-cos: 3.0ms (0.4% of total)

ival-neg: 3.0ms (0.4% of total)

ival-sin: 3.0ms (0.4% of total)

ival-pi: 2.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory

25.4MiB live, 117.0MiB allocated; 9ms collecting garbage

Counts

26 → 185

Calls

Call 1

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

Outputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ eps (PI))
(+ eps (+ x (PI)))
(PI)
(+ x (PI))
(+ eps x)
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(* -1 (/ x eps))
(* x (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(* x (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ eps (* x (+ 1 (/ x eps))))
(+ eps (* x (+ 1 (* x (+ (/ 1 eps) (/ x (pow eps 2)))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(* x (+ 1 (/ (PI) x)))
(* x (+ 1 (/ eps x)))
(- (/ (sin (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))) (cos (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))) (cos (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))))
(+ 1 (/ eps x))
(- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x)))
(- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(pow (sin x) 2)
(pow (cos x) 2)
(* -1 (/ (pow eps 2) x))
(/ (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))) x)
(/ (+ (* -1 (/ (pow eps 3) x)) (+ (* -1 (/ (pow eps 4) (pow x 2))) (* -1 (pow eps 2)))) x)
(/ (+ (* -1 (/ (pow eps 3) x)) (+ (* -1 (/ (pow eps 4) (pow x 2))) (+ (* -1 (/ (pow eps 5) (pow x 3))) (* -1 (pow eps 2))))) x)
(* -1 (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (pow eps 2)) x))) x)) 1)))
(- (/ (sin (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))) (cos (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))) (cos (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow eps 2) x)) eps) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow eps 3) x) (* -1 (pow eps 2))) x)) eps) x)))
(* -1 (/ (+ (/ (pow eps 3) x) (pow eps 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow eps 4) x)) (pow eps 3)) x)) (pow eps 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow eps 5) x) (* -1 (pow eps 4))) x)) (pow eps 3)) x)) (pow eps 2)) x))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ 1 (* eps (+ (/ 1 x) (/ eps (pow x 2)))))
(+ 1 (* eps (+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* (pow eps 2) (- (* -1 (/ eps (pow x 2))) (/ 1 x)))
(* (pow eps 2) (- (* eps (- (* -1 (/ eps (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow eps 2) (- (* eps (- (* eps (- (* -1 (/ eps (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(- (/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow eps 2)))) (/ (pow x 2) eps)) eps)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow eps 3)))) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))) eps)
(* eps (- (+ 1 (/ (pow x 2) (pow eps 2))) (* -1 (/ x eps))))
(* eps (- (+ 1 (/ (pow x 3) (pow eps 3))) (+ (* -1 (/ x eps)) (* -1 (/ (pow x 2) (pow eps 2))))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)) 1)))
(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(* -1 (/ (+ x (/ (pow x 2) eps)) eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps))) eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) eps) (* -1 (pow x 3))) eps)) (pow x 2)) eps))) eps))
(* -1 (* eps (- (* -1 (/ (- (/ (pow x 2) eps) (* -1 x)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)) (* -1 x)) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	eps	@	0	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps))) (- (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (tan x)) (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (/ x (- x eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (pow (sin x) 2) (pow (cos x) 2) (PI) (/ (* (neg eps) eps) (- x eps)) (neg (tan x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
15.0ms	x	@	inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps))) (- (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (tan x)) (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (/ x (- x eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (pow (sin x) 2) (pow (cos x) 2) (PI) (/ (* (neg eps) eps) (- x eps)) (neg (tan x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
14.0ms	x	@	-inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps))) (- (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (tan x)) (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (/ x (- x eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (pow (sin x) 2) (pow (cos x) 2) (PI) (/ (* (neg eps) eps) (- x eps)) (neg (tan x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
13.0ms	eps	@	inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps))) (- (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (tan x)) (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (/ x (- x eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (pow (sin x) 2) (pow (cos x) 2) (PI) (/ (* (neg eps) eps) (- x eps)) (neg (tan x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))
9.0ms	eps	@	-inf	((+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (tan (+ (+ (PI) x) eps)) (- (tan (+ (+ (PI) x) eps)) (tan x)) (+ (+ (PI) x) eps) (+ (PI) x) (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps))) (- (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (tan x)) (tan (+ (* x (/ x (- x eps))) (/ (* (neg eps) eps) (- x eps)))) (/ x (- x eps)) (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (+ (tan eps) (tan x)) (tan eps) (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (- (+ (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1))) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x) (pow (sin x) 2) (pow (cos x) 2) (PI) (/ (* (neg eps) eps) (- x eps)) (neg (tan x)) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)))

simplify170.0ms (1.3%)

Memory

-13.0MiB live, 162.8MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	878	5009
1	2757	4653
0	8951	4436

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 183

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(+ eps (PI))
(+ eps (+ x (PI)))
(PI)
(+ x (PI))
(+ eps x)
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(* -1 (/ x eps))
(* x (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(* x (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+ eps (* x (+ 1 (/ x eps))))
(+ eps (* x (+ 1 (* x (+ (/ 1 eps) (/ x (pow eps 2)))))))
(* -1 x)
(* x (- (* -1/3 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -2/15 (pow x 2)) 1/3)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/315 (pow x 2)) 2/15)) 1/3)) 1))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI)))))
(- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x)))
(* x (+ 1 (+ (/ eps x) (/ (PI) x))))
(* x (+ 1 (/ (PI) x)))
(* x (+ 1 (/ eps x)))
(- (/ (sin (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))) (cos (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))) (cos (+ (* -1 (/ (pow eps 2) (- x eps))) (/ (pow x 2) (- x eps)))))
(+ 1 (/ eps x))
(- (+ 1 (/ (pow eps 2) (pow x 2))) (* -1 (/ eps x)))
(- (+ 1 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (* -1 (/ (pow eps 2) (pow x 2)))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(/ (sin x) (cos x))
(pow (sin x) 2)
(pow (cos x) 2)
(* -1 (/ (pow eps 2) x))
(/ (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))) x)
(/ (+ (* -1 (/ (pow eps 3) x)) (+ (* -1 (/ (pow eps 4) (pow x 2))) (* -1 (pow eps 2)))) x)
(/ (+ (* -1 (/ (pow eps 3) x)) (+ (* -1 (/ (pow eps 4) (pow x 2))) (+ (* -1 (/ (pow eps 5) (pow x 3))) (* -1 (pow eps 2))))) x)
(* -1 (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))
(- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (pow eps 2)) (pow eps 2)) x))) x)) 1)))
(- (/ (sin (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))) (cos (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))) (cos (- (/ (pow eps 2) (+ eps (* -1 x))) (/ (pow x 2) (+ eps (* -1 x))))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow eps 2) x)) eps) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow eps 3) x) (* -1 (pow eps 2))) x)) eps) x)))
(* -1 (/ (+ (/ (pow eps 3) x) (pow eps 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow eps 4) x)) (pow eps 3)) x)) (pow eps 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow eps 5) x) (* -1 (pow eps 4))) x)) (pow eps 3)) x)) (pow eps 2)) x))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x)))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ 1 (* eps (+ (/ 1 x) (/ eps (pow x 2)))))
(+ 1 (* eps (+ (* eps (+ (/ 1 (pow x 2)) (/ eps (pow x 3)))) (/ 1 x))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(* (pow eps 2) (- (* -1 (/ eps (pow x 2))) (/ 1 x)))
(* (pow eps 2) (- (* eps (- (* -1 (/ eps (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow eps 2) (- (* eps (- (* eps (- (* -1 (/ eps (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))
(- (/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))) (cos (- (/ (pow x 2) (- x eps)) (/ (pow eps 2) (- x eps)))))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow eps 2)))) (/ (pow x 2) eps)) eps)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow eps 3)))) (+ (/ (pow x 2) eps) (/ (pow x 3) (pow eps 2)))) eps)
(* eps (- (+ 1 (/ (pow x 2) (pow eps 2))) (* -1 (/ x eps))))
(* eps (- (+ 1 (/ (pow x 3) (pow eps 3))) (+ (* -1 (/ x eps)) (* -1 (/ (pow x 2) (pow eps 2))))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))
(- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)) 1)))
(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(* -1 (/ (+ x (/ (pow x 2) eps)) eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps))) eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) eps) (* -1 (pow x 3))) eps)) (pow x 2)) eps))) eps))
(* -1 (* eps (- (* -1 (/ (- (/ (pow x 2) eps) (* -1 x)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)) (* -1 x)) eps)) 1)))

Outputs
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 (+.f64 eps x) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 5/6 binary64) eps) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 5/6 binary64)) eps (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) x eps) x (.f64 eps eps)) x eps)
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)
(/ (sin (+ eps (PI))) (cos (+ eps (PI))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (*.f64 x (neg.f64 (sin.f64 eps))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64))) x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(+ eps (PI))
(+.f64 (PI.f64) eps)
(+ eps (+ x (PI)))
(+.f64 (+.f64 (PI.f64) x) eps)
(PI)
(PI.f64)
(+ x (PI))
(+.f64 (PI.f64) x)
(+ eps x)
(+.f64 eps x)
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64))) x (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (/ x eps))
(/.f64 (neg.f64 x) eps)
(* x (- (* -1 (/ x (pow eps 2))) (/ 1 eps)))
(.f64 (-.f64 (/.f64 (neg.f64 x) (.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) x)
(* x (- (* x (- (* -1 (/ x (pow eps 3))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) x) (/.f64 #s(literal 1 binary64) eps)) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow eps 4))) (/ 1 (pow eps 3)))) (/ 1 (pow eps 2)))) (/ 1 eps)))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (neg.f64 x) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) x) (/.f64 #s(literal 1 binary64) eps)) x)
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(- (/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps)))))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (cos.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps))))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))) (cos (- (/ (pow x 2) (+ x (* -1 eps))) (/ (pow eps 2) (+ x (* -1 eps))))))
(/.f64 (sin.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (cos.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(* -1 (/ (+ x (/ (pow x 2) eps)) eps))
(/.f64 (+.f64 (/.f64 (*.f64 x x) eps) x) (neg.f64 eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps))) eps))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 eps)) (*.f64 x x)) eps)) (neg.f64 eps))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) eps) (* -1 (pow x 3))) eps)) (pow x 2)) eps))) eps))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (pow.f64 x #s(literal 3 binary64))) (neg.f64 eps)) (*.f64 x x)) eps)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (/ (pow x 2) eps) (* -1 x)) eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) eps) x) (neg.f64 eps)) #s(literal 1 binary64)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) eps)) (pow x 2)) eps)) (* -1 x)) eps)) 1)))
(.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 eps)) (.f64 x x)) eps)) (neg.f64 eps)) #s(literal 1 binary64)))

rewrite190.0ms (1.4%)

Memory

32.3MiB live, 170.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	312
0	82	232
1	386	183
2	3303	183
0	8648	180

Stop Event

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

Counts

26 → 723

Calls

Call 1

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

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

eval131.0ms (1%)

Memory: -18.9MiB live, 163.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 29 396 to 4 094 computations (86.1% saved)

prune26.0ms (0.2%)

Memory

8.5MiB live, 55.6MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	851	13	864
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	856	22	878

Accuracy

100.0%

Counts

878 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(/.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)))
	63.3%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
	63.2%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	5.6%	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
	63.2%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	5.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
▶	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
	5.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
	8.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
✓	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	98.9%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) x) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (cos.f64 eps)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
▶	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
▶	97.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
▶	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))

Compiler

Compiled 1 168 to 662 computations (43.3% saved)

simplify166.0ms (1.2%)

Memory

38.1MiB live, 152.4MiB allocated; 67ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
cost-diff	1	(+.f64 (+.f64 (PI.f64) eps) (PI.f64))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	1	(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
cost-diff	5	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
cost-diff	0	#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x))
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) x eps)
cost-diff	0	#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
cost-diff	0	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	8	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	420
0	87	420
1	156	408
2	338	384
3	967	382
4	3625	376
0	8373	365

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (2.4%)

Memory

0.7MiB live, 308.9MiB allocated; 54ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.0390625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	1.0799212425464333	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
accuracy	0.0234375	(+.f64 (PI.f64) eps)
accuracy	0.03125	(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
accuracy	23.472031266232797	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
accuracy	57.3794387874079	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
accuracy	0.00390625	(fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps)
accuracy	0.01953125	(/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x))
accuracy	0.8723212227066041	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
accuracy	31.87290202873398	#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.016288769536884032	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.8723212227066041	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
accuracy	1.9450629588881891	#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps))
accuracy	0.0078125	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
accuracy	0.01171875	(/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	22.746418444775315	(-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))

Samples

237.0ms	226×	1	valid
43.0ms	25×	2	valid
3.0ms	1×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 331 to 43 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-tan: 77.0ms (31.6% of total)

adjust: 61.0ms (25.1% of total)

ival-div: 32.0ms (13.2% of total)

ival-add: 30.0ms (12.3% of total)

ival-mult: 16.0ms (6.6% of total)

ival-pow2: 9.0ms (3.7% of total)

ival-sub: 7.0ms (2.9% of total)

ival-cos: 3.0ms (1.2% of total)

ival-sin: 3.0ms (1.2% of total)

ival-neg: 2.0ms (0.8% of total)

ival-pi: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

-6.1MiB live, 49.2MiB allocated; 24ms collecting garbage

Counts

25 → 145

Calls

Call 1

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

Outputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(+ (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (* x (pow (sin (+ eps (* 4 (PI)))) 2)) (pow (cos (+ eps (* 4 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(- (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(pow (cos x) 2)
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(pow eps 2)
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(+ eps (* 2 (PI)))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin x) (cos x))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(PI)
(+ eps (PI))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 2 (/ (PI) eps))))
(* eps (+ 1 (/ (PI) eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))
(* -1 (* eps (- (* -2 (/ (PI) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (+ (PI) eps) (pow (cos x) 2))
6.0ms	eps	@	0	((+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (+ (PI) eps) (pow (cos x) 2))
6.0ms	x	@	inf	((+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (+ (PI) eps) (pow (cos x) 2))
5.0ms	eps	@	-inf	((+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (+ (PI) eps) (pow (cos x) 2))
5.0ms	eps	@	inf	((+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (+ (PI) eps) (pow (cos x) 2))

simplify161.0ms (1.2%)

Memory

27.2MiB live, 159.8MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	673	4233
1	2280	3990
0	8621	3665

Stop Event

1×	iter limit
1×	node limit

Counts

145 → 143

Calls

Call 1

Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (* -1/6 eps)) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ eps (+ (* -1/6 eps) (* 2/3 x))) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (* -1/6 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* -1/6 eps) (* 1/6 x))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
x
(* x (+ 1 (/ (* x (sin eps)) (cos eps))))
(* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(* x (+ 1 (* x (- (* x (- (+ 1/3 (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))))
(+ (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (* x (pow (sin (+ eps (* 4 (PI)))) 2)) (pow (cos (+ eps (* 4 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* (pow eps 2) x)
(* x (+ (/ eps x) (pow eps 2)))
(/ (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x))) (cos x))
(+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 2 (/ (PI) x))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(- (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(pow (cos x) 2)
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(pow eps 2)
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(+ eps (* 2 (PI)))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (sin x) (cos x))
(+ (/ (sin x) (cos x)) (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ (* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(PI)
(+ eps (PI))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (/ (pow (sin x) 2) (* eps (cos x)))))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(* eps (+ 1 (* 2 (/ (PI) eps))))
(* eps (+ 1 (/ (PI) eps)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(* -1 (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (* eps (cos x)))) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))
(* -1 (* eps (- (* -2 (/ (PI) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))

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

rewrite229.0ms (1.7%)

Memory

-35.1MiB live, 221.4MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	388
0	87	397
1	383	290
2	3479	290
0	8161	282

Stop Event

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

Counts

25 → 515

Calls

Call 1

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

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

eval107.0ms (0.8%)

Memory: 28.0MiB live, 162.6MiB allocated; 24ms collecting garbage
Compiler: Compiled 25 630 to 3 204 computations (87.5% saved)

prune56.0ms (0.4%)

Memory

-36.3MiB live, 67.0MiB allocated; 14ms collecting garbage

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	664	17	681
Fresh	9	5	14
Picked	3	2	5
Done	0	3	3
Total	676	27	703

Accuracy

100.0%

Counts

703 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	63.2%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	5.6%	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
	63.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
✓	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
✓	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	5.5%	(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
	98.8%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	98.5%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))
	98.6%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
▶	99.1%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
▶	98.0%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
✓	97.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
▶	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
✓	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
▶	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))

Compiler

Compiled 1 700 to 979 computations (42.4% saved)

simplify194.0ms (1.4%)

Memory

14.6MiB live, 159.4MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
cost-diff	0	(fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))
cost-diff	0	#s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))
cost-diff	0	(tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))))
cost-diff	0	(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
cost-diff	0	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
cost-diff	2	(.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (.f64 eps eps) x)
cost-diff	0	#s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))
cost-diff	0	#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x)))
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
cost-diff	2	(.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))))
cost-diff	3	(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x))
cost-diff	3	(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x))
cost-diff	9	(fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1183
0	157	1183
1	287	1174
2	748	1044
3	2696	1013
0	8797	991

Stop Event

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

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
(+.f64 #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
(tan.f64 eps)
eps
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))
(.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (pow.f64 (cos.f64 x) #s(literal 5 binary64)))) eps)
(neg.f64 eps)
(fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -2/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 5 binary64)))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(sin.f64 x)
(cos.f64 x)
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 5 binary64)))))
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 5 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 5 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (cos.f64 x) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x)))
#s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))
(.f64 (.f64 eps eps) x)
(*.f64 eps eps)
eps
x
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x)) eps eps))
(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps)
(fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x)) eps eps)
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64))
#s(literal 17/45 binary64)
(*.f64 x x)
x
#s(literal 2/3 binary64)
#s(literal 1 binary64)
eps
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
(tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))))
#s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))
(fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))
(PI.f64)
#s(literal 4 binary64)
(+.f64 x eps)
x
eps
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x x))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))))
(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
(tan.f64 eps)
eps
(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
#s(literal 1 binary64)
#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x x)))
(.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 x x))
(*.f64 x x)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin.f64 eps)
(cos.f64 eps)

localize563.0ms (4.1%)

Memory

16.5MiB live, 488.1MiB allocated; 59ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 (sin.f64 eps) (cos.f64 eps))
accuracy	0.10546875	(.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
accuracy	1.8987895536752604	#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
accuracy	0.0	#s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))
accuracy	0.03515625	(fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))
accuracy	23.472031266232797	(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
accuracy	57.3794387874079	(tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps))))
accuracy	0.015625	(.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.02734375	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
accuracy	1.0799212425464333	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
accuracy	1.14400157759155	#s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	0.09765625	(.f64 (.f64 eps eps) x)
accuracy	0.8723212227066041	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
accuracy	1.9450629588881891	#s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x)))
accuracy	60.27489551602559	#s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))
accuracy	0.10546875	(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x))
accuracy	0.140625	(*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))
accuracy	0.203125	(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
accuracy	0.6140397365787964	#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))

Samples

403.0ms	226×	1	valid
83.0ms	25×	2	valid
4.0ms	1×	3	valid
3.0ms	4×	0	valid

Compiler

Compiled 886 to 81 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

adjust: 91.0ms (20.9% of total)

ival-tan: 86.0ms (19.7% of total)

ival-mult: 60.0ms (13.8% of total)

ival-div: 54.0ms (12.4% of total)

ival-add: 53.0ms (12.2% of total)

ival-pow: 39.0ms (9% of total)

const: 17.0ms (3.9% of total)

ival-sub: 9.0ms (2.1% of total)

ival-pow2: 9.0ms (2.1% of total)

ival-neg: 5.0ms (1.1% of total)

ival-cos: 5.0ms (1.1% of total)

ival-sin: 5.0ms (1.1% of total)

ival-pi: 2.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series143.0ms (1.1%)

Memory

-34.4MiB live, 106.1MiB allocated; 24ms collecting garbage

Counts

27 → 140

Calls

Call 1

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

Outputs
(* -2/3 (pow x 3))
(* (pow x 3) (- (* -5/3 (pow x 2)) 2/3))
(* (pow x 3) (- (* (pow x 2) (- (* -97/45 (pow x 2)) 5/3)) 2/3))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -1184/567 (pow x 2)) 97/45)) 5/3)) 2/3))
(* -1 (pow x 5))
(* (pow x 5) (- (* -5/3 (pow x 2)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* -16/9 (pow x 2)) 5/3)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -289/189 (pow x 2)) 16/9)) 5/3)) 1))
(* (pow x 5) (- (* -7/6 (pow x 2)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* -71/72 (pow x 2)) 7/6)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -10709/15120 (pow x 2)) 71/72)) 7/6)) 1))
(* 2/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 2/3 eps) (* 5/3 (* eps (pow x 2)))))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* 97/45 (* eps (pow x 2)))))))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* (pow x 2) (+ (* 1184/567 (* eps (pow x 2))) (* 97/45 eps)))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* (pow eps 2) x)
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (* x (pow (sin (+ eps (* 4 (PI)))) 2)) (pow (cos (+ eps (* 4 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -11/9 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -197/135 (pow x 2)) 11/9)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1196/945 (pow x 2)) 197/135)) 11/9)) 1/3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* -1/3 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (- (* -11/45 (pow x 2)) 1/3)) 1/3))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/567 (pow x 2)) 11/45)) 1/3)) 1/3))
(+ (* -1 (/ (pow (sin x) 5) (pow (cos x) 5))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1 (/ (pow (sin x) 5) (pow (cos x) 5)))
(* -1 (/ (pow (sin x) 5) (pow (cos x) 4)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 5) (pow (cos x) 5))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* x (+ (/ eps x) (pow eps 2)))
(* 17/45 (pow x 5))
(* (pow x 5) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(- (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3)))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 2))) 17/45)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (pow x 2))
(* eps (+ (* (pow eps 2) (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (pow x 2)))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (+ (* 1/120 (pow x 2)) (* (pow eps 2) (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2))))))))) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
67.0ms	x	@	inf	((+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (* (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (* (PI) 4) (+ x eps)) (+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (neg (pow (sin x) 4)) (pow (cos x) 4))) (* (pow (/ (sin x) (cos x)) 3) -1/3) (* (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) x) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (* x x) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))
31.0ms	eps	@	-inf	((+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (* (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (* (PI) 4) (+ x eps)) (+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (neg (pow (sin x) 4)) (pow (cos x) 4))) (* (pow (/ (sin x) (cos x)) 3) -1/3) (* (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) x) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (* x x) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))
19.0ms	x	@	-inf	((+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (* (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (* (PI) 4) (+ x eps)) (+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (neg (pow (sin x) 4)) (pow (cos x) 4))) (* (pow (/ (sin x) (cos x)) 3) -1/3) (* (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) x) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (* x x) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))
9.0ms	eps	@	0	((+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (* (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (* (PI) 4) (+ x eps)) (+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (neg (pow (sin x) 4)) (pow (cos x) 4))) (* (pow (/ (sin x) (cos x)) 3) -1/3) (* (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) x) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (* x x) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))
8.0ms	eps	@	inf	((+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (* (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (- (tan (+ x eps)) (tan x)) (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (+ (* (* eps eps) x) eps) (* (* eps eps) x) (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) (- (tan (+ x eps)) (tan x)) (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (tan x)) (tan (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI)))) (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (+ (* (PI) 4) (+ x eps)) (+ (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x))) (/ (tan eps) (+ (* (neg (tan x)) (tan eps)) 1)) (tan eps) (+ (* (neg (tan x)) (tan eps)) 1) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (+ (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (neg (pow (sin x) 4)) (pow (cos x) 4))) (* (pow (/ (sin x) (cos x)) 3) -1/3) (* (* (+ (* (+ (* 17/45 (* x x)) 2/3) (* x x)) 1) x) x) (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (* (* x x) (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))

simplify210.0ms (1.5%)

Memory

36.3MiB live, 181.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	746	4181
1	2315	3959
0	8530	3652

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 138

Calls

Call 1

Inputs
(* -2/3 (pow x 3))
(* (pow x 3) (- (* -5/3 (pow x 2)) 2/3))
(* (pow x 3) (- (* (pow x 2) (- (* -97/45 (pow x 2)) 5/3)) 2/3))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -1184/567 (pow x 2)) 97/45)) 5/3)) 2/3))
(* -1 (pow x 5))
(* (pow x 5) (- (* -5/3 (pow x 2)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* -16/9 (pow x 2)) 5/3)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -289/189 (pow x 2)) 16/9)) 5/3)) 1))
(* (pow x 5) (- (* -7/6 (pow x 2)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* -71/72 (pow x 2)) 7/6)) 1))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -10709/15120 (pow x 2)) 71/72)) 7/6)) 1))
(* 2/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 2/3 eps) (* 5/3 (* eps (pow x 2)))))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* 97/45 (* eps (pow x 2)))))))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* (pow x 2) (+ (* 1184/567 (* eps (pow x 2))) (* 97/45 eps)))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(* (pow eps 2) x)
x
(* x (+ 1 (* 2/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI)))))
(+ (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))) (/ (* x (pow (sin (+ eps (* 4 (PI)))) 2)) (pow (cos (+ eps (* 4 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))) (cos (+ eps (* 4 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (pow (cos (+ eps (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (cos (+ eps (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 4 (PI)))) 2) (pow (cos (+ eps (* 4 (PI)))) 2))))) (/ (sin (+ eps (* 4 (PI)))) (cos (+ eps (* 4 (PI))))))
(+ eps (* 4 (PI)))
(+ eps (+ x (* 4 (PI))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))))))
(+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* -1/3 (/ (sin eps) (cos eps))) (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))))))))
(/ (* (pow x 2) (sin eps)) (cos eps))
(* (pow x 2) (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (* x (+ (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps))))) (cos eps))))) (+ (* -1 (/ (* (sin eps) (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -11/9 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -197/135 (pow x 2)) 11/9)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1196/945 (pow x 2)) 197/135)) 11/9)) 1/3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* -1/3 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (- (* -11/45 (pow x 2)) 1/3)) 1/3))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -88/567 (pow x 2)) 11/45)) 1/3)) 1/3))
(+ (* -1 (/ (pow (sin x) 5) (pow (cos x) 5))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3))))
(* -1 (/ (pow (sin x) 5) (pow (cos x) 5)))
(* -1 (/ (pow (sin x) 5) (pow (cos x) 4)))
(* -1 (* eps (+ (* -1 (/ (pow (sin x) 5) (pow (cos x) 5))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(+ eps (/ (* eps (+ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))) (cos x)))
(* x (+ (/ eps x) (pow eps 2)))
(* 17/45 (pow x 5))
(* (pow x 5) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- (/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ eps (+ x (* 4 (PI))))) (cos (+ eps (+ x (* 4 (PI))))))
(* x (+ 1 (+ (* 4 (/ (PI) x)) (/ eps x))))
(- (+ (/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) (/ (sin x) (cos x)))
(/ (sin eps) (* (cos eps) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(- (/ (sin x) (* (cos x) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3)))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (/ 1 (pow x 2))) (pow x 2))) 17/45)))
(- (/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(/ (sin (- (+ eps (* 4 (PI))) (* -1 x))) (cos (- (+ eps (* 4 (PI))) (* -1 x))))
(* -1 (* x (- (* -1 (/ (+ eps (* 4 (PI))) x)) 1)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (* eps x)))
(- (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))) (/ (sin x) (cos x)))
(/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))) (cos (+ x (* 4 (PI)))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 4 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (pow (cos (+ x (* 4 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 4 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (cos (+ x (* 4 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 4 (PI)))) 2) (pow (cos (+ x (* 4 (PI)))) 2))))) (/ (sin (+ x (* 4 (PI)))) (cos (+ x (* 4 (PI))))))
(+ x (* 4 (PI)))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (pow x 2))
(* eps (+ (* (pow eps 2) (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (pow x 2)))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (+ (* 1/120 (pow x 2)) (* (pow eps 2) (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2))))))))) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (/ 1 eps)))
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))

Outputs
(* -2/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2/3 binary64))
(* (pow x 3) (- (* -5/3 (pow x 2)) 2/3))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -5/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (- (* -97/45 (pow x 2)) 5/3)) 2/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -97/45 binary64) (*.f64 x x)) #s(literal 5/3 binary64)) x) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (- (* (pow x 2) (- (* -1184/567 (pow x 2)) 97/45)) 5/3)) 2/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1184/567 binary64) (.f64 x x)) #s(literal 97/45 binary64)) x) x) #s(literal 5/3 binary64)) (*.f64 x x)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 5))
(neg.f64 (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -5/3 (pow x 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -5/3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (- (* -16/9 (pow x 2)) 5/3)) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -16/9 binary64) (*.f64 x x)) #s(literal 5/3 binary64)) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -289/189 (pow x 2)) 16/9)) 5/3)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -289/189 binary64) (.f64 x x)) #s(literal 16/9 binary64)) x) x) #s(literal 5/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -7/6 (pow x 2)) 1))
(.f64 (-.f64 (.f64 #s(literal -7/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (- (* -71/72 (pow x 2)) 7/6)) 1))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -71/72 binary64) (*.f64 x x)) #s(literal 7/6 binary64)) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (- (* -10709/15120 (pow x 2)) 71/72)) 7/6)) 1))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -10709/15120 binary64) (.f64 x x)) #s(literal 71/72 binary64)) x) x) #s(literal 7/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 2/3 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2/3 binary64))
(* (pow x 3) (+ (* 2/3 eps) (* 5/3 (* eps (pow x 2)))))
(.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 5/3 binary64) (.f64 #s(literal 2/3 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* 97/45 (* eps (pow x 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 97/45 binary64) (.f64 #s(literal 5/3 binary64) eps)) x) x (.f64 #s(literal 2/3 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 2/3 eps) (* (pow x 2) (+ (* 5/3 eps) (* (pow x 2) (+ (* 1184/567 (* eps (pow x 2))) (* 97/45 eps)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1184/567 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 97/45 binary64) eps)) x) x (.f64 #s(literal 5/3 binary64) eps)) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (pow.f64 x #s(literal 3 binary64)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(+ eps (* (pow eps 2) x))
(fma.f64 (*.f64 eps eps) x eps)
(+ eps (* x (+ (* eps x) (pow eps 2))))
(fma.f64 (*.f64 eps (+.f64 eps x)) x eps)
(+ eps (* x (+ (* x (+ eps (* x (- (* eps (+ eps (* -1/6 eps))) (* -1/2 (pow eps 2)))))) (pow eps 2))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 5/6 binary64)) eps (.f64 #s(literal 1/2 binary64) (.f64 eps eps))) x eps) x (.f64 eps eps)) x eps)
(* (pow eps 2) x)
(.f64 (.f64 eps eps) x)
x
(* x (+ 1 (* 2/3 (pow x 2))))
(fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(+ eps (* eps (pow x 2)))
(fma.f64 (*.f64 eps x) x eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) eps eps) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) eps) (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal -2/3 binary64) eps))) (.f64 x x) (.f64 #s(literal 2/3 binary64) eps)) (.f64 x x) eps) (.f64 x x) eps)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
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(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (neg.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/6 binary64))) (.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x))))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x))))
(+ x (* 4 (PI)))
(fma.f64 #s(literal 4 binary64) (PI.f64) x)
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (neg.f64 eps) (-.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (sin.f64 x) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps)
(* eps (+ 1 (/ (* eps (sin x)) (cos x))))
(fma.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (cos.f64 x)) eps)
(* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps (/.f64 (sin.f64 x) (cos.f64 x))) eps) eps eps)
(* eps (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (* -1/3 (/ (sin x) (cos x))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x)))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 #s(literal -1/3 binary64) (sin.f64 x) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps eps) eps)
(* eps (+ 1 (* 1/3 (pow eps 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(.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)
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sin.f64 x)) (.f64 eps eps) (neg.f64 (sin.f64 x))) (cos.f64 x)) eps #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (sin x) (cos x))) (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 (.f64 (sin.f64 x) eps) eps) (.f64 #s(literal -1/3 binary64) (sin.f64 x))) (cos.f64 x)) (.f64 eps eps) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64))
(/ (* eps (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (- (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (- (* eps (- (* eps (- (* -1 (* eps (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (sin.f64 x)) (cos.f64 x)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* eps (+ (* (pow eps 2) (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (pow x 2)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) eps) eps (*.f64 x x)) eps)
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 eps eps) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (*.f64 x x)) eps)
(* eps (+ (* (pow eps 2) (- (+ (* -1/6 (pow x 2)) (* (pow eps 2) (- (+ (* 1/120 (pow x 2)) (* (pow eps 2) (- (* -1/5040 (pow x 2)) (+ (* -1/2 (- (* 1/120 (pow x 2)) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2))))) (+ (* -1/720 (pow x 2)) (* 1/24 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2))))))))) (+ (* -1/2 (- (* -1/6 (pow x 2)) (* -1/2 (pow x 2)))) (* 1/24 (pow x 2)))))) (* -1/2 (pow x 2)))) (pow x 2)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/72 binary64))))) (.f64 eps eps) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (.f64 eps eps) (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 eps eps) (.f64 x x)) eps)
(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(.f64 (.f64 eps eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) (.f64 eps eps))
(* (pow eps 2) (+ x (/ 1 eps)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) x) eps) eps)
(* eps (+ 1 (+ (* 4 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps) eps eps)
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* -1 (/ (* (pow eps 2) (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(.f64 (.f64 (neg.f64 eps) eps) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x))))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps))))
(.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(- (/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps)) (cos.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin (- (+ x (* 4 (PI))) (* -1 eps))) (cos (- (+ x (* 4 (PI))) (* -1 eps))))
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps)) (cos.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) eps)))
(* -1 (* eps (- (* -1 (/ (+ x (* 4 (PI))) eps)) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) x) (neg.f64 eps)) #s(literal 1 binary64)))

rewrite205.0ms (1.5%)

Memory

-15.9MiB live, 219.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	616
0	156	568
1	634	492
2	5587	492
0	8020	483

Stop Event

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

Counts

27 → 276

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))) (-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (tan.f64 x) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (tan.f64 x) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (tan.f64 x) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 x)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))))
(-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(-.f64 (.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 9 binary64))) (fma.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))))))
(+.f64 (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(+.f64 (.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))))
(*.f64 (tan.f64 x) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (tan.f64 x)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (tan.f64 x)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (sin.f64 x)) (.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (neg.f64 (sin.f64 x))) (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (neg.f64 (cos.f64 x))))
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(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64)) (neg.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)))
(-.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 (tan.f64 x) #s(literal 6 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 3/2 binary64)) #s(literal -1/3 binary64)))
(.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (tan.f64 x))
(.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (tan.f64 x) #s(literal -1/3 binary64)))
(.f64 (tan.f64 x) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x x)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) x) x) #s(literal 2 binary64))))
#s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 (tan.f64 eps) x) x))
(.f64 (.f64 (tan.f64 eps) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (tan.f64 eps) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (tan.f64 eps) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (tan.f64 eps)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (tan.f64 eps)))
(.f64 (tan.f64 eps) (.f64 x x))
(.f64 (.f64 x x) (tan.f64 eps))
(.f64 x (.f64 (tan.f64 eps) x))
(/.f64 (.f64 (neg.f64 (sin.f64 eps)) (.f64 x x)) (neg.f64 (cos.f64 eps)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) (.f64 x x))) (neg.f64 (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (.f64 x x)) (cos.f64 eps))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps))))
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 eps))))
(/.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))
(neg.f64 (neg.f64 (tan.f64 eps)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) eps))
(tan.f64 eps)

eval90.0ms (0.7%)

Memory: 29.3MiB live, 120.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 37 852 to 2 874 computations (92.4% saved)

prune86.0ms (0.6%)

Memory

-49.0MiB live, 85.1MiB allocated; 57ms collecting garbage

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	474	9	483
Fresh	2	15	17
Picked	2	3	5
Done	0	5	5
Total	478	32	510

Accuracy

100.0%

Counts

510 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.6%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	5.5%	(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))))))
	5.6%	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
	63.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓	63.3%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	5.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
✓	5.7%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64))) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64))) (tan.f64 x))
✓	63.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	5.5%	(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
	98.8%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	98.5%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))
	98.6%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -5/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
	98.8%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx ( (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
	98.0%	(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (* x x) (/ (sin eps) (cos eps))) (.f64 (.f64 x x) eps))))
	98.0%	(+.f64 (/.f64 #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
✓	97.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
✓	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
	98.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
✓	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
✓	5.6%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))

Compiler

Compiled 3 021 to 1 068 computations (64.6% saved)

regimes41.0ms (0.3%)

Memory

-1.3MiB live, 44.8MiB allocated; 2ms collecting garbage

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (* x x) (/ (sin eps) (cos eps))) (.f64 (.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+.f64 (/.f64 #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.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 x) (tan.f64 (+.f64 eps 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 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) x) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (cos.f64 eps)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx ( (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -5/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 (/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (sin.f64 x)) (cos.f64 x)) (.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))

Outputs

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

Calls

3 calls:

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

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)

regimes40.0ms (0.3%)

Memory

8.4MiB live, 54.6MiB allocated; 2ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (* x x) (/ (sin eps) (cos eps))) (.f64 (.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+.f64 (/.f64 #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.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 x) (tan.f64 (+.f64 eps 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 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) x) (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (cos.f64 eps)) x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx ( (neg eps) (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 2/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) #s(approx (+ (* (pow (/ (sin x) (cos x)) 3) -1/3) (+ (/ (* (/ (neg (pow (sin x) 4)) (pow (cos x) 4)) (sin x)) (cos x)) (* (pow (/ (sin x) (cos x)) 3) -1/3))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -5/3 binary64)) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))

Outputs

(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes58.0ms (0.4%)

Memory

-28.8MiB live, 24.4MiB allocated; 7ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (* x x) (/ (sin eps) (cos eps))) (.f64 (.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+.f64 (/.f64 #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.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 x) (tan.f64 (+.f64 eps 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 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))

Outputs

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

Calls

3 calls:

35.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (0.3%)

Memory

-2.5MiB live, 42.4MiB allocated; 4ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps eps) x))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) #s(approx (+ (* (* eps eps) x) eps) (.f64 (.f64 eps x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (fma.f64 (*.f64 x eps) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (+ (* (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) eps) eps) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (*.f64 (+.f64 x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) x) x #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 eps #s(literal 4/3 binary64)) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (cos x)) (.f64 (fma.f64 (fma.f64 (+.f64 eps (fma.f64 #s(literal 2/3 binary64) x (.f64 eps #s(literal 1/3 binary64)))) x #s(literal 1 binary64)) x eps) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (.f64 x x) #s(literal 17/45 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x)) (cos.f64 x)) eps eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/6 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 x eps)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))) (PI.f64)) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 #s(approx (pow (sin x) 2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 x x) #s(literal 2/45 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) eps) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) #s(approx (* (* x x) (/ (sin eps) (cos eps))) (.f64 (.f64 x x) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps))
(+.f64 (/.f64 #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps) (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) #s(approx (- (/ (tan x) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (.f64 x x) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.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 x) (tan.f64 (+.f64 eps 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 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x)))) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 #s(approx (+ (+ (+ (PI) x) (PI)) (+ (+ (PI) eps) (PI))) (fma.f64 (PI.f64) #s(literal 4 binary64) (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(+.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x)))

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

Calls

3 calls:

14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	x
10.0ms	eps

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.2%)

Memory

35.2MiB live, 35.2MiB allocated; 0ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.2%)

Memory

-23.6MiB live, 23.0MiB allocated; 2ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

-31.0MiB live, 14.6MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	eps
2.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

12.1MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify79.0ms (0.6%)

Memory

-37.9MiB live, 56.7MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	490
1	177	488
2	334	480
3	881	480
4	3396	472

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations972.0ms (7.1%)

Memory

38.9MiB live, 662.7MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	53	16
2	440	16
3	6608	16
0	8588	16
0	157	970
1	488	910
2	1845	849
0	8454	797
0	43	312
0	82	232
1	386	183
2	3303	183
0	8648	180
0	878	5009
1	2757	4653
0	8951	4436
0	53	388
0	87	397
1	383	290
2	3479	290
0	8161	282
0	673	4233
1	2280	3990
0	8621	3665

Stop Event

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

Compiler

Compiled 490 to 115 computations (76.5% saved)

preprocess110.0ms (0.8%)

Memory: -28.1MiB live, 68.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 012 to 254 computations (74.9% saved)

end0.0ms (0%)

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

start27.0ms (0.2%)

analyze38.0ms (0.3%)

sample6.6s (48.7%)

explain168.0ms (1.2%)

preprocess335.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify292.0ms (2.1%)

localize31.0ms (0.2%)

series33.0ms (0.2%)

simplify210.0ms (1.5%)

rewrite212.0ms (1.6%)

eval37.0ms (0.3%)

prune11.0ms (0.1%)

simplify156.0ms (1.1%)

localize815.0ms (6%)

series80.0ms (0.6%)

simplify170.0ms (1.3%)

rewrite190.0ms (1.4%)

eval131.0ms (1%)

prune26.0ms (0.2%)

simplify166.0ms (1.2%)

localize324.0ms (2.4%)

series48.0ms (0.4%)

simplify161.0ms (1.2%)

rewrite229.0ms (1.7%)

eval107.0ms (0.8%)

prune56.0ms (0.4%)

simplify194.0ms (1.4%)

localize563.0ms (4.1%)

series143.0ms (1.1%)

simplify210.0ms (1.5%)

rewrite205.0ms (1.5%)

eval90.0ms (0.7%)

prune86.0ms (0.6%)

regimes41.0ms (0.3%)

regimes40.0ms (0.3%)

regimes58.0ms (0.4%)

regimes36.0ms (0.3%)

regimes26.0ms (0.2%)

regimes32.0ms (0.2%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify79.0ms (0.6%)

derivations972.0ms (7.1%)

preprocess110.0ms (0.8%)

end0.0ms (0%)

Profiling