Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze53.0ms (0.3%)

Memory

-2.5MiB live, 85.4MiB allocated; 21ms 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)

sample6.7s (43.6%)

Memory

212.8MiB live, 7 544.1MiB allocated; 1.7s collecting garbage

Samples

3.4s	26 173×	0	invalid
1.1s	5 159×	1	valid
431.0ms	3 097×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

const: 817.0ms (21.9% of total)

ival-tan: 685.0ms (18.4% of total)

ival-mult: 375.0ms (10.1% of total)

ival-add: 352.0ms (9.4% of total)

ival-fabs: 300.0ms (8.1% of total)

ival-<: 288.0ms (7.7% of total)

ival-<=: 262.0ms (7% of total)

ival-sub: 244.0ms (6.5% of total)

adjust: 242.0ms (6.5% of total)

ival-and: 107.0ms (2.9% of total)

exact: 42.0ms (1.1% of total)

ival-assert: 11.0ms (0.3% of total)

Bogosity

explain135.0ms (0.9%)

Memory

-13.3MiB live, 134.7MiB allocated; 51ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
217	2	(1.781589509096575e-274 1.4196471894782958e-277)	2	(-1.2240955723698952e-28 2.4517030511719255e-30)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	0	-	2	(-22.032762950454796 0.0016469131109583413)	`(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	217	8
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	216	3
-	2	35

Precision

0.9908256880733946

Recall

0.9863013698630136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	216	2	1
-	2	6	29

Precision?

0.9646017699115044

Recall?

0.9954337899543378

Freqs

test

number	freq
0	38
1	216
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	298×	1	valid
11.0ms	208×	0	valid
1.0ms	4×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-tan: 18.0ms (46.2% of total)

adjust: 13.0ms (33.4% of total)

ival-add: 4.0ms (10.3% of total)

ival-sub: 4.0ms (10.3% of total)

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

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

preprocess278.0ms (1.8%)

Memory

13.7MiB live, 201.1MiB allocated; 36ms 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)

prune32.0ms (0.2%)

Memory

-46.2MiB live, 0.8MiB allocated; 2ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify247.0ms (1.6%)

Memory

49.0MiB live, 270.8MiB allocated; 32ms 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)

localize82.0ms (0.5%)

Memory

-1.0MiB live, 110.3MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(tan.f64 x)
accuracy	0.18815229330231617	(tan.f64 (+.f64 x eps))
accuracy	23.92897653731917	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

69.0ms	149×	1	valid
5.0ms	104×	0	valid
1.0ms	1×	3	valid
1.0ms	2×	2	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-tan: 6.0ms (35.9% of total)

adjust: 6.0ms (35.9% of total)

ival-add: 2.0ms (12% of total)

ival-sub: 2.0ms (12% of total)

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

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

series15.0ms (0.1%)

Memory

-21.9MiB live, 23.6MiB allocated; 4ms 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
5.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
3.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x))

simplify158.0ms (1%)

Memory

17.8MiB live, 208.8MiB allocated; 28ms 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)))

rewrite643.0ms (4.2%)

Memory

-357.6MiB live, 331.1MiB allocated; 871ms 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)))))

eval27.0ms (0.2%)

Memory: 11.7MiB live, 100.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 935 to 840 computations (85.8% saved)

prune24.0ms (0.2%)

Memory

-19.4MiB live, 79.0MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	165	18	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	19	184

Accuracy

100.0%

Counts

184 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 eps x) x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
	62.6%	(fma.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 (tan.f64 eps) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x)))
	36.0%	(fma.f64 (tan.f64 (+.f64 eps x)) (/.f64 (tan.f64 (+.f64 eps x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
	62.7%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
	62.6%	(/.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)))
	62.4%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	62.6%	(-.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))
	62.6%	(-.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))
	34.6%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
▶	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
	6.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	8.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	8.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.0%	#s(approx (- (tan (+ x eps)) (tan 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 (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))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (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))
▶	98.5%	#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))
	97.8%	#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))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 1 165 to 552 computations (52.6% saved)

simplify259.0ms (1.7%)

Memory

-11.2MiB live, 279.6MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	1	(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)))
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 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)
cost-diff	0	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
cost-diff	1	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
cost-diff	3	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps))
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 (+.f64 (PI.f64) x)))
cost-diff	2	(tan.f64 (+.f64 (PI.f64) x))
cost-diff	4	(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))))
cost-diff	6	(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)))
cost-diff	11	(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)))
cost-diff	12	(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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1461
0	124	1449
1	235	1357
2	643	1211
3	3058	1113
0	8637	1096

Stop Event

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

Calls

Call 1

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

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

localize973.0ms (6.3%)

Memory

44.1MiB live, 798.8MiB allocated; 100ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy	0.03515625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.11328125	(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	0.9695565264768856	#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))
accuracy	0.00390625	(fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64)))
accuracy	0.02734375	(+.f64 (tan.f64 eps) (tan.f64 x))
accuracy	23.92897653731917	(-.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	0.015625	(+.f64 (PI.f64) x)
accuracy	0.01953125	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	23.92897653731917	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
accuracy	57.41091534323983	(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps))
accuracy	0.015625	(+.f64 (PI.f64) x)
accuracy	0.18815229330231617	(tan.f64 (+.f64 x eps))
accuracy	23.92897653731917	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
accuracy	57.33013898661587	(tan.f64 (+.f64 (PI.f64) x))
accuracy	0.33984375	(.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)
accuracy	0.34765625	(*.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))
accuracy	0.49978290969744915	#s(approx (- (tan (+ x eps)) (tan x)) (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))
accuracy	0.9609375	(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)))

Samples

764.0ms	249×	1	valid
19.0ms	1×	3	valid
16.0ms	2×	2	valid
15.0ms	4×	0	valid

Compiler

Compiled 1 387 to 72 computations (94.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

ival-tan: 294.0ms (46.4% of total)

ival-add: 98.0ms (15.5% of total)

adjust: 92.0ms (14.5% of total)

ival-mult: 48.0ms (7.6% of total)

ival-div: 27.0ms (4.3% of total)

ival-sin: 25.0ms (3.9% of total)

const: 15.0ms (2.4% of total)

ival-sub: 13.0ms (2.1% of total)

ival-pow2: 12.0ms (1.9% of total)

ival-cos: 4.0ms (0.6% of total)

ival-neg: 3.0ms (0.5% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series147.0ms (1%)

Memory

-21.8MiB live, 120.1MiB allocated; 19ms collecting garbage

Counts

27 → 181

Calls

Call 1

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

Outputs
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 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))) (/ (sin (PI)) (cos (PI))))
(/ (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)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (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 (- (+ 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)))
(* 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))))))))
(+ (* 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 (* (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)))))))
(* x (- (* -5/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(PI)
(+ x (PI))
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))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow x 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))))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(* x (+ 1 (+ (* 2 (/ (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)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (* (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))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* eps (- (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* x (+ 1 (/ (PI) x)))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(pow (cos x) 2)
(pow (sin x) 2)
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* 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))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (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)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (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 (- (* 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))))))))
(/ (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 (/ (* 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)))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ 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 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* 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)))))
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(* -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)))))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	eps	@	-inf	((+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (PI) x) (PI)) eps)) (+ (+ (PI) x) (PI)) (- (tan (+ (+ (+ (PI) x) (PI)) eps)) (tan x)) (+ (+ (+ (PI) x) (PI)) 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) (+ (* (+ (* (/ (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 (+ x eps)) (tan x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (+ (PI) x) (+ (* (neg (tan x)) (tan eps)) 1) (pow (cos x) 2) (pow (sin x) 2))
37.0ms	x	@	-inf	((+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (PI) x) (PI)) eps)) (+ (+ (PI) x) (PI)) (- (tan (+ (+ (+ (PI) x) (PI)) eps)) (tan x)) (+ (+ (+ (PI) x) (PI)) 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) (+ (* (+ (* (/ (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 (+ x eps)) (tan x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (+ (PI) x) (+ (* (neg (tan x)) (tan eps)) 1) (pow (cos x) 2) (pow (sin x) 2))
20.0ms	x	@	inf	((+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (PI) x) (PI)) eps)) (+ (+ (PI) x) (PI)) (- (tan (+ (+ (+ (PI) x) (PI)) eps)) (tan x)) (+ (+ (+ (PI) x) (PI)) 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) (+ (* (+ (* (/ (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 (+ x eps)) (tan x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (+ (PI) x) (+ (* (neg (tan x)) (tan eps)) 1) (pow (cos x) 2) (pow (sin x) 2))
19.0ms	x	@	0	((+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (PI) x) (PI)) eps)) (+ (+ (PI) x) (PI)) (- (tan (+ (+ (+ (PI) x) (PI)) eps)) (tan x)) (+ (+ (+ (PI) x) (PI)) 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) (+ (* (+ (* (/ (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 (+ x eps)) (tan x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (+ (PI) x) (+ (* (neg (tan x)) (tan eps)) 1) (pow (cos x) 2) (pow (sin x) 2))
11.0ms	eps	@	0	((+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3)) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6)) (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (tan (+ (PI) x)) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (+ (PI) x) (PI)) eps)) (+ (+ (PI) x) (PI)) (- (tan (+ (+ (+ (PI) x) (PI)) eps)) (tan x)) (+ (+ (+ (PI) x) (PI)) 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) (+ (* (+ (* (/ (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 (+ x eps)) (tan x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (+ (PI) x) (+ (* (neg (tan x)) (tan eps)) 1) (pow (cos x) 2) (pow (sin x) 2))

simplify171.0ms (1.1%)

Memory

0.3MiB live, 228.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	5345
1	2644	5054
0	9001	4711

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 179

Calls

Call 1

Inputs
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
-1/3
(- (* -4/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(* -5/6 (pow x 2))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 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))) (/ (sin (PI)) (cos (PI))))
(/ (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)
(/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI)))))
(+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI)))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(* 2 (PI))
(+ x (* 2 (PI)))
(+ (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))) (/ (* x (pow (sin (+ eps (* 2 (PI)))) 2)) (pow (cos (+ eps (* 2 (PI)))) 2)))
(+ (* x (- (/ (* x (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))) (cos (+ eps (* 2 (PI))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (pow (cos (+ eps (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ eps (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (cos (+ eps (* 2 (PI)))))))) (* -1 (/ (pow (sin (+ eps (* 2 (PI)))) 2) (pow (cos (+ eps (* 2 (PI)))) 2))))) (/ (sin (+ eps (* 2 (PI)))) (cos (+ eps (* 2 (PI))))))
(+ eps (* 2 (PI)))
(+ eps (+ x (* 2 (PI))))
(+ (/ (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 (- (+ 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)))
(* 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))))))))
(+ (* 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 (* (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)))))))
(* x (- (* -5/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -61/360 (pow x 2)) 5/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -277/3024 (pow x 2)) 61/360)) 5/18)) 1/3))
(* 1/3 eps)
(+ (* 1/3 eps) (* 2/3 (* (pow eps 2) x)))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x)))))
(+ (* 1/3 eps) (* x (+ (* 2/3 (pow eps 2)) (* x (+ (* -1 (* eps (* x (- (* -14/9 eps) (* 1/3 eps))))) (* 4/3 eps))))))
(PI)
(+ x (PI))
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))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow x 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))))
(+ (* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(+ (* 1/6 (pow (sin x) 2)) (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
x
(* x (+ 1 (/ eps x)))
(/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI))))))
(* x (+ 1 (* 2 (/ (PI) x))))
(- (/ (sin (+ eps (+ x (* 2 (PI))))) (cos (+ eps (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(* x (+ 1 (+ (* 2 (/ (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)) (/ (sin x) (cos x))) (+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (* (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))
(* -1/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))))
(* eps (- (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* x (+ 1 (/ (PI) x)))
(+ 1 (* -1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(pow (cos x) 2)
(pow (sin x) 2)
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x))))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(- (/ (sin (- (+ eps (* 2 (PI))) (* -1 x))) (cos (- (+ eps (* 2 (PI))) (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (+ eps (* 2 (PI))) x)) 1)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (* x (- (* -1 (/ (PI) x)) 1)))
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* 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))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (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)))
(/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))
(+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))
(- (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))) (/ (sin x) (cos x)))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))) (cos (+ x (* 2 (PI)))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (sin x) (cos x)))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (* 2 (PI)))) 2) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (pow (cos (+ x (* 2 (PI)))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (* 1/6 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2)))))))) (* -1 (/ (* (sin (+ x (* 2 (PI)))) (- 1 (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (cos (+ x (* 2 (PI))))))))) (* -1 (/ (pow (sin (+ x (* 2 (PI)))) 2) (pow (cos (+ x (* 2 (PI)))) 2))))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI)))))) (/ (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 (- (* 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))))))))
(/ (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 (/ (* 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)))
(* -1 (* eps (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))))
(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
(+ 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 (/ x eps)))
(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
(* 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)))))
(* -1 (/ (* (pow eps 2) (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps))))
(- (/ (sin (- (+ x (* 2 (PI))) (* -1 eps))) (cos (- (+ x (* 2 (PI))) (* -1 eps)))) (/ (sin x) (cos x)))
(* -1 (* eps (- (* -1 (/ (+ x (* 2 (PI))) eps)) 1)))
(* -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)))))
(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))

Outputs
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -23/18 binary64)) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -601/360 binary64) (*.f64 x x)) #s(literal 23/18 binary64)) x) x) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -23183/15120 binary64) (.f64 x x)) #s(literal 601/360 binary64)) x) x) #s(literal 23/18 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* -4/3 (pow x 2)) 1/3)
(-.f64 (.f64 #s(literal -4/3 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(- (* (pow x 2) (- (* -17/9 (pow x 2)) 4/3)) 1/3)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/9 binary64) (.f64 x x)) #s(literal 4/3 binary64)) x) x) #s(literal 1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -248/135 (pow x 2)) 17/9)) 4/3)) 1/3)
(-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -248/135 binary64) (.f64 x x)) #s(literal 17/9 binary64)) x) x) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 1/3 binary64))
(* -5/6 (pow x 2))
(.f64 #s(literal -5/6 binary64) (.f64 x x))
(* (pow x 2) (- (* -13/18 (pow x 2)) 5/6))
(.f64 (.f64 (-.f64 (.f64 #s(literal -13/18 binary64) (.f64 x x)) #s(literal 5/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -10/27 (pow x 2)) 13/18)) 5/6))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -10/27 binary64) (.f64 x x)) #s(literal 13/18 binary64)) x) x) #s(literal 5/6 binary64)) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -373/1890 (pow x 2)) 10/27)) 13/18)) 5/6))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -373/1890 binary64) (.f64 x x)) #s(literal 10/27 binary64)) x) x) #s(literal 13/18 binary64)) (.f64 x x)) #s(literal 5/6 binary64)) (.f64 x x))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (-.f64 (.f64 #s(literal -14/9 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -331/180 binary64) (*.f64 x x)) #s(literal 14/9 binary64)) x) x) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -3071/1890 binary64) (.f64 x x)) #s(literal 331/180 binary64)) x) x) #s(literal 14/9 binary64)) (*.f64 x x)) #s(literal 2/3 binary64)) x)
(/ (sin (PI)) (cos (PI)))
#s(literal 0 binary64)
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
x
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(* eps (+ (* -1 (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))) (* -1 (/ (* eps (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))))
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(* eps (+ 1 (/ x eps)))
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(* eps (+ 1 (+ (* 2 (/ (PI) eps)) (/ x eps))))
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(/ (* (pow eps 2) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
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(* (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))))))
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(* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (* -1 (/ (+ (* -2/3 (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x)))))
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(* (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))))
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(* -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)))))
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(* -1 (* (pow eps 2) (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(.f64 (.f64 (neg.f64 eps) eps) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(* (pow eps 2) (+ (* -1 (+ (* -2/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))) (* -1 (/ (+ 1/6 (+ (* -1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps))))
(.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (-.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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)))) (.f64 eps eps))

rewrite242.0ms (1.6%)

Memory

27.1MiB live, 366.6MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	652
0	124	622
1	579	484
2	5003	484
0	8108	466

Stop Event

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

Counts

27 → 656

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) (-.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 #s(literal 1/3 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) (-.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x))) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))) #s(literal -1/3 binary64)))
(fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -1/3 binary64))))
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 x)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) x)) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 x (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) x)) (cos.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))
(-.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 (+.f64 (PI.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 (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 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (sin.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) (neg.f64 (+.f64 (PI.f64) x))))))
(+.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) (neg.f64 (neg.f64 x))))))
(+.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 x x))))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (+.f64 (neg.f64 x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (sin.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 x) (+.f64 (PI.f64) x))) (cos.f64 (+.f64 (neg.f64 x) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 x))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.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 x x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.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 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))

eval491.0ms (3.2%)

Memory: 19.3MiB live, 904.0MiB allocated; 224ms collecting garbage
Compiler: Compiled 194 621 to 12 300 computations (93.7% saved)

prune63.0ms (0.4%)

Memory

15.3MiB live, 161.0MiB allocated; 20ms collecting garbage

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 610	25	1 635
Fresh	9	4	13
Picked	3	2	5
Done	0	1	1
Total	1 622	32	1 654

Accuracy

100.0%

Counts

1 654 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (/.f64 (tan.f64 eps) (-.f64 (pow.f64 (.f64 (neg.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)))
	6.1%	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x))))
▶	9.0%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	62.4%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	62.5%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x))
	62.6%	(-.f64 (/.f64 (+.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	34.6%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (tan.f64 x))
	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
	6.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	8.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	8.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) #s(literal 0 binary64)))
	98.8%	(+.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)))
	97.8%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (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))
	99.0%	#s(approx (- (/ (+ (tan eps) (tan x)) (+ (* (neg (tan x)) (tan eps)) 1)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 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 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) eps))
	98.5%	#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))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (neg.f64 eps) (/.f64 #s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (.f64 #s(literal -2/3 binary64) x)) (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))
▶	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (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))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (.f64 (neg.f64 eps) (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (-.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)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) 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))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (- (* (neg eps) (/ (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3) (+ (* (* (/ (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (cos x) 2)) (pow (sin x) 2)) (sin x)) (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) (sin x)) (sin x)) -1/3))) (cos x))) (+ (* (+ (* (/ (sin x) (pow (cos x) 2)) (sin x)) 1) -1/2) (+ (/ (+ (* (+ (* (pow (sin x) 2) (/ -1 (pow (cos x) 2))) -1) (pow (sin x) 2)) (* (pow (sin x) 2) 1/6)) (pow (cos x) 2)) 1/6))) eps) (*.f64 #s(literal 1/3 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))
	97.5%	#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 1/6 binary64) x (.f64 #s(literal 5/6 binary64) eps)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
	96.2%	#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))
	97.6%	#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 #s(literal 1/3 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.2%	#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 x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x)) eps eps))
▶	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (*.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))
	97.3%	#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)))
▶	96.2%	#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 2 777 to 1 349 computations (51.4% saved)

simplify190.0ms (1.2%)

Memory

3.2MiB live, 190.8MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)
cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (*.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))
cost-diff	1	(*.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)
cost-diff	4	(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)))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x)))
cost-diff	0	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
cost-diff	4	(-.f64 (+.f64 eps x) (+.f64 (PI.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)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
cost-diff	2	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)
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	5	(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
cost-diff	6	(fma.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
cost-diff	6	(fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))
cost-diff	6	(fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -1/3 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	996
0	137	992
1	290	954
2	906	870
3	4407	794
0	8781	761

Stop Event

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

Calls

Call 1

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

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

localize938.0ms (6.1%)

Memory

-19.7MiB live, 749.2MiB allocated; 138ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(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)))
accuracy	0.03125	(*.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)
accuracy	0.041347509768442016	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
accuracy	0.9695565264768856	#s(approx (- (tan (+ x eps)) (tan x)) (*.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))
accuracy	0.01953125	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
accuracy	0.09045159704508635	(-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))
accuracy	0.10518326771288247	(cos.f64 (+.f64 eps x))
accuracy	58.1166514656233	(sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x)))
accuracy	0.18815229330231617	(tan.f64 (+.f64 x eps))
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	1.6897656962720782	#s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x))
accuracy	23.92897653731917	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
accuracy	0.0	(fma.f64 (*.f64 eps eps) x eps)
accuracy	0.0	(*.f64 eps eps)
accuracy	0.9695565264768856	#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	2.379027814305397	#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	0.1171875	(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)))
accuracy	0.33203125	(*.f64 (sin.f64 x) #s(literal -1/3 binary64))
accuracy	0.49978290969744915	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))) (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))
accuracy	0.96484375	(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) (sin.f64 x) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 x) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (sin.f64 x) #s(literal -1/3 binary64))))) (cos.f64 x)) (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))))

Samples

546.0ms	109×	2	valid
288.0ms	141×	1	valid
5.0ms	1×	3	valid
3.0ms	5×	0	valid

Compiler

Compiled 895 to 80 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 777.0ms

ival-tan: 356.0ms (45.8% of total)

adjust: 134.0ms (17.2% of total)

ival-mult: 77.0ms (9.9% of total)

ival-sin: 74.0ms (9.5% of total)

ival-add: 39.0ms (5% of total)

ival-sub: 31.0ms (4% of total)

ival-div: 19.0ms (2.4% of total)

const: 18.0ms (2.3% of total)

ival-pow2: 17.0ms (2.2% of total)

ival-cos: 7.0ms (0.9% of total)

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

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

exact: 1.0ms (0.1% of total)

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

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

series78.0ms (0.5%)

Memory

1.3MiB live, 92.3MiB allocated; 8ms collecting garbage

Counts

27 → 158

Calls

Call 1

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

Outputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
1/6
(+ 1/6 (* -5/6 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6)))
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 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))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 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))) (/ (sin (PI)) (cos (PI))))
(+ (* 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 x)
(- eps (PI))
(* -1 (/ (sin (- eps (PI))) (cos eps)))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- eps (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- eps (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(sin (- eps (PI)))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(* x (- (* 1/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* -1/360 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/15120 (pow x 2)) 1/360)))) 1/3))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(* 1/3 x)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(pow x 2)
(* (pow 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))))))))
(+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))
(- (+ (* -1 (/ (* eps (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(- (/ (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)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (+ eps x)))))
(+ 1 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(* -1/3 (sin x))
(+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(cos (+ eps x))
(/ (pow (sin x) 2) (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 (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(cos (- eps (* -1 x)))
(- (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (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)
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* 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))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (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 (PI))
(* -1 (/ (sin (neg (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (neg (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (cos x))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* eps (cos (neg (PI)))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* -1/2 (* eps (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* eps (+ (* -1/2 (sin (neg (PI)))) (* -1/6 (* eps (cos (neg (PI))))))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* -1 (/ (* eps (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* eps (- (+ (* -1 (/ (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x))) (* 1/2 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) (+ (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (+ (* 1/6 (/ 1 eps)) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (pow (cos 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 (/ x eps)))
(* eps (+ 1 (* -1 (/ (PI) eps))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* -1 (* eps (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* -1 (* eps (+ (* -1 (/ (- (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3))))))
(- (/ (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))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (/ (PI) eps) 1)))
(* -1 (/ (sin (neg (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(sin (neg (+ (PI) (* -1 eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (/ (* (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 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -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)))))
(cos (- x (* -1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	((+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6)) (- (+ (* (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) (- (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) (* (+ (* (* 1/3 x) x) 1) x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (+ eps x) (+ (PI) x)) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ eps x) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) eps) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (* (sin x) -1/3) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (tan (+ (PI) x)) (* 1/3 x) (cos (+ eps x)) (pow (tan x) 2))
11.0ms	x	@	-inf	((+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6)) (- (+ (* (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) (- (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) (* (+ (* (* 1/3 x) x) 1) x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (+ eps x) (+ (PI) x)) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ eps x) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) eps) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (* (sin x) -1/3) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (tan (+ (PI) x)) (* 1/3 x) (cos (+ eps x)) (pow (tan x) 2))
10.0ms	eps	@	-inf	((+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6)) (- (+ (* (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) (- (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) (* (+ (* (* 1/3 x) x) 1) x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (+ eps x) (+ (PI) x)) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ eps x) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) eps) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (* (sin x) -1/3) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (tan (+ (PI) x)) (* 1/3 x) (cos (+ eps x)) (pow (tan x) 2))
8.0ms	eps	@	0	((+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6)) (- (+ (* (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) (- (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) (* (+ (* (* 1/3 x) x) 1) x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (+ eps x) (+ (PI) x)) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ eps x) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) eps) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (* (sin x) -1/3) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (tan (+ (PI) x)) (* 1/3 x) (cos (+ eps x)) (pow (tan x) 2))
7.0ms	x	@	0	((+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6)) (- (+ (* (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) (- (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) (* (+ (* (* 1/3 x) x) 1) x) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ x eps)) (+ x eps) (- (+ eps x) (+ (PI) x)) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ eps x) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) (* (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) eps) (- (tan (+ x eps)) (tan x)) (+ (* (pow (tan x) 2) eps) eps) (- (tan (+ x eps)) (tan x)) (* (sin x) -1/3) (+ (* (+ (* (pow (tan x) 2) eps) eps) (tan x)) (pow (tan x) 2)) (tan (+ (PI) x)) (* 1/3 x) (cos (+ eps x)) (pow (tan x) 2))

simplify165.0ms (1.1%)

Memory

-17.3MiB live, 128.7MiB allocated; 55ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	640	3638
1	2223	3337
2	7995	3337
0	8011	3175

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 156

Calls

Call 1

Inputs
(* -2/3 x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(* -1/3 x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
1/6
(+ 1/6 (* -5/6 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6)))
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 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))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 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))) (/ (sin (PI)) (cos (PI))))
(+ (* 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 x)
(- eps (PI))
(* -1 (/ (sin (- eps (PI))) (cos eps)))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- eps (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- eps (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(sin (- eps (PI)))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps))))))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (+ eps (* 1/3 eps)))))) (pow eps 2))))
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))
(* x (- (* 1/18 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* -1/360 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/15120 (pow x 2)) 1/360)))) 1/3))
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (+ eps (* 1/3 eps)))))))
(* x (+ eps (* x (+ 1 (* x (+ eps (+ (* 1/3 eps) (* 2/3 x))))))))
(/ (sin (PI)) (cos (PI)))
(+ (* x (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (/ (* x (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI))))
(* 1/3 x)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(pow x 2)
(* (pow 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))))))))
(+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ (* -1/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))
(+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))
(- (+ (* -1 (/ (* eps (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x))) (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(- (/ (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)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(* x (+ 1 (/ eps x)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (+ eps x)))))
(+ 1 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(* -1/3 (sin x))
(+ (/ (* (sin x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (sin (+ x (PI))) (cos (+ x (PI))))
(cos (+ eps x))
(/ (pow (sin x) 2) (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 (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x)))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(/ (sin (- (PI) (* -1 x))) (cos (- (PI) (* -1 x))))
(cos (- eps (* -1 x)))
(- (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (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)
(- (/ (sin x) (cos x)) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* 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))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (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 (PI))
(* -1 (/ (sin (neg (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (neg (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (cos x))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* eps (cos (neg (PI)))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* -1/2 (* eps (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* eps (+ (* -1/2 (sin (neg (PI)))) (* -1/6 (* eps (cos (neg (PI))))))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* -1 (/ (* eps (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2)))) (cos x)))
(* eps (- (+ (* -1 (/ (+ (* -2/3 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))) (cos x))) (* 1/2 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) (+ (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (+ (* 1/6 (/ 1 eps)) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (* eps (pow (cos 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 (/ x eps)))
(* eps (+ 1 (* -1 (/ (PI) eps))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* eps (+ (/ 1 eps) (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(* -1 (* eps (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(* -1 (* eps (+ (* -1 (/ (- (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3))))))
(- (/ (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))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (/ (PI) eps) 1)))
(* -1 (/ (sin (neg (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(sin (neg (+ (PI) (* -1 eps))))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (/ (* (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 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -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)))))
(cos (- x (* -1 eps)))

Outputs
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* -14/9 (pow x 2)) 2/3))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -14/9 binary64)) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -331/180 (pow x 2)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -331/180 binary64) (*.f64 x x)) #s(literal 14/9 binary64)) x) x) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -3071/1890 (pow x 2)) 331/180)) 14/9)) 2/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -3071/1890 binary64) (.f64 x x)) #s(literal 331/180 binary64)) x) x) #s(literal 14/9 binary64)) (*.f64 x x)) #s(literal 2/3 binary64)) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* -23/18 (pow x 2)) 1/3))
(.f64 (-.f64 (.f64 #s(literal -23/18 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* -601/360 (pow x 2)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -601/360 binary64) (*.f64 x x)) #s(literal 23/18 binary64)) x) x) #s(literal 1/3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -23183/15120 (pow x 2)) 601/360)) 23/18)) 1/3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -23183/15120 binary64) (.f64 x x)) #s(literal 601/360 binary64)) x) x) #s(literal 23/18 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -5/6 (pow x 2)))
(fma.f64 #s(literal -5/6 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -14/9 (pow x 2)) 5/6)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -14/9 binary64)) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -89/54 (pow x 2)) 14/9)) 5/6)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -89/54 binary64) (.f64 x x)) #s(literal 14/9 binary64)) x) x) #s(literal 5/6 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/3 (* eps x)))
(fma.f64 (*.f64 #s(literal 2/3 binary64) x) eps #s(literal 1/3 binary64))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) x (*.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 binary64))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* -1 (* x (- (* -14/9 eps) (* 1/3 eps)))))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 4/3 binary64) (.f64 (.f64 #s(literal -17/9 binary64) eps) x)) x (*.f64 #s(literal 2/3 binary64) eps)) x #s(literal 1/3 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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 eps)) (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
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 eps) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 5/6 binary64) eps) eps)) x eps) x (.f64 eps eps)) x eps)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(- (/ (sin eps) (cos eps)) (/ (sin (PI)) (cos (PI))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(- (+ (* x (- (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(- (+ (* x (- (+ (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))) (* x (- (+ (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI)))) (* x (- (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 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))) (/ (sin (PI)) (cos (PI))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) x (.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) x (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64))) x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
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(* eps (+ 1 (* -1 (/ (PI) eps))))
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(fma.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps #s(literal 1 binary64))
(* eps (+ (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) eps) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x))) eps)
(* -1 (* eps (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3)))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64) (.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)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(* -1 (* eps (+ (* -1 (/ (- (* 1/2 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (* (pow (sin x) 2) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 2))))) eps)) (+ (* -2/3 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (/ (* (pow (sin x) 3) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (pow (cos x) 3))))))
(.f64 (neg.f64 eps) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (cos.f64 x)) #s(literal -2/3 binary64) (fma.f64 (/.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)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (/.f64 (fma.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)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 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 (-.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)) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 eps) eps))
(* (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 (-.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)) (/.f64 (sin.f64 x) (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)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (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)))
(* -1 (* eps (- (/ (PI) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (PI.f64) eps) #s(literal 1 binary64)))
(* -1 (/ (sin (neg (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) eps))) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(sin (neg (+ (PI) (* -1 eps))))
(sin.f64 (fma.f64 #s(literal -1 binary64) (PI.f64) eps))
(* -1 (/ (* eps (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1))) (cos x)))
(.f64 (neg.f64 eps) (.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)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x)))))
(*.f64 (neg.f64 eps) (fma.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)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps)))
(* (pow eps 2) (+ (* -1 (/ (* (sin x) (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)) (cos x))) (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(.f64 (.f64 (fma.f64 (neg.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 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)) eps) 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)))
(* -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)))))
(*.f64 (neg.f64 eps) (fma.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)) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))

rewrite267.0ms (1.7%)

Memory

-13.8MiB live, 173.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	551
0	137	547
1	625	487
2	5924	487
0	8048	470

Stop Event

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

Counts

27 → 507

Calls

Call 1

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

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

eval205.0ms (1.3%)

Memory: 10.2MiB live, 285.1MiB allocated; 28ms collecting garbage
Compiler: Compiled 75 327 to 4 916 computations (93.5% saved)

prune39.0ms (0.3%)

Memory

-21.9MiB live, 81.5MiB allocated; 8ms collecting garbage

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	891	12	903
Fresh	9	15	24
Picked	3	2	5
Done	0	3	3
Total	903	32	935

Accuracy

100.0%

Counts

935 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x))))
	62.4%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	9.1%	(/.f64 (sin.f64 #s(approx (- (+ eps x) (+ (PI) x)) (-.f64 eps (PI.f64)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	8.8%	(/.f64 (sin.f64 #s(approx (- (+ eps x) (+ (PI) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps)) eps))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
▶	99.4%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	98.7%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (neg.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	62.5%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x))
	62.2%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) eps) eps #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x))
	62.6%	(-.f64 (/.f64 (+.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
	6.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	4.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	8.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	98.8%	(+.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)))
	9.1%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/.f64 (/.f64 (neg.f64 (sin.f64 (-.f64 eps (PI.f64)))) (cos.f64 (+.f64 eps x))) (cos.f64 x)))
▶	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64))))
▶	5.4%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(literal 0 binary64))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) (tan.f64 x) #s(literal -1 binary64)))) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) (tan.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)))) (.f64 (tan.f64 x) (fma.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))) eps eps))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(approx (- (+ ( (/ (+ (* (* -1/3 (+ (* (tan x) (tan x)) 1)) (sin x)) (+ (* (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (sin x)) (* (+ (* (tan x) (tan x)) 1) (* (sin x) -1/3)))) (cos x)) (neg eps)) (* 1/2 (+ (* (tan x) (tan x)) 1))) (+ (* (+ (* (* (sin x) (tan x)) (/ -1 (cos x))) -1) (pow (tan x) 2)) (+ (* 1/6 (pow (tan x) 2)) 1/6))) #s(literal 1/3 binary64)) (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))
	97.5%	#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 1/6 binary64) x (.f64 #s(literal 5/6 binary64) eps)) x #s(literal 1 binary64)) x eps) x)) (cos.f64 x)) eps eps))
▶	96.2%	#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))
	97.6%	#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 #s(literal 1/3 binary64) eps))) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.2%	#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 x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x)) eps eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) #s(literal 1 binary64)) eps))
	96.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) #s(literal 1 binary64)) eps))
	97.3%	#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)))
✓	96.2%	#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 1 905 to 1 107 computations (41.9% saved)

simplify117.0ms (0.8%)

Memory

35.6MiB live, 127.6MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	1	(sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x)))
cost-diff	2	(neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))
cost-diff	2	(/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x))))
cost-diff	7	(-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64))))
cost-diff	2	(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64))
cost-diff	3	(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64)))
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	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(literal 0 binary64))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64))
cost-diff	0	#s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps))
cost-diff	0	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
cost-diff	1	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	409
0	91	398
1	172	395
2	410	369
3	1193	330
4	4430	322
0	8068	316

Stop Event

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

Calls

Call 1

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

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

localize481.0ms (3.1%)

Memory

18.4MiB live, 445.8MiB allocated; 53ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 (+.f64 (PI.f64) x) (PI.f64))
accuracy	0.08850607701343123	(-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x))
accuracy	0.10518326771288247	(cos.f64 (+.f64 eps x))
accuracy	59.984189734187005	(sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps) (+.f64 (PI.f64) x)))
accuracy	0.015625	(/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
accuracy	0.03515625	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64))
accuracy	1.3970156774614886	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps #s(literal 0 binary64))))
accuracy	0.0078125	(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	0.015625	(/.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	0.9695565264768856	#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	30.078066883224057	#s(approx (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (*.f64 eps x))
accuracy	60.5364025457563	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(literal 0 binary64))
accuracy	0.01953125	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
accuracy	0.10518326771288247	(cos.f64 (+.f64 eps x))
accuracy	0.30668031120961864	#s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps))
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) eps)

Samples

231.0ms	109×	2	valid
208.0ms	144×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 337 to 51 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 341.0ms

ival-sin: 119.0ms (34.9% of total)

adjust: 67.0ms (19.6% of total)

ival-div: 44.0ms (12.9% of total)

ival-add: 27.0ms (7.9% of total)

ival-mult: 27.0ms (7.9% of total)

ival-sub: 19.0ms (5.6% of total)

ival-pow2: 11.0ms (3.2% of total)

ival-tan: 7.0ms (2.1% of total)

ival-cos: 7.0ms (2.1% of total)

ival-neg: 5.0ms (1.5% of total)

const: 4.0ms (1.2% of total)

ival-pi: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.4%)

Memory

-15.4MiB live, 37.2MiB allocated; 10ms collecting garbage

Counts

21 → 123

Calls

Call 1

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

Outputs
(* -1 (/ (sin (- eps (PI))) (cos eps)))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- eps (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- eps (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(sin (- eps (PI)))
(/ (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))))
(* 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))))))))
(- (* eps (pow x 2)) (* -1 eps))
(- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))) (* -1 eps))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))) (* -1 eps))
(* -1 eps)
(+ (* -1 eps) (* -1 (* eps (pow x 2))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* 1/3 eps))))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (+ (* 1/3 eps) (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(- (+ eps (* 2 (PI))) (PI))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps)))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- (+ eps (* 2 (PI))) (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(sin (- (+ eps (* 2 (PI))) (PI)))
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)))
(* 2 (PI))
(+ x (* 2 (PI)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (+ eps 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 x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ eps (pow (cos x) 2))
(* -1 (/ eps (pow (cos x) 2)))
(/ -1 (pow (cos x) 2))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (* (cos x) (cos (+ eps x)))))
(cos (+ eps x))
(pow (cos x) 2)
x
(* x (+ 1 (* 2 (/ (PI) x))))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* -1 (/ (sin (neg (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (neg (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (cos x))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* eps (cos (neg (PI)))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* -1/2 (* eps (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* eps (+ (* -1/2 (sin (neg (PI)))) (* -1/6 (* eps (cos (neg (PI))))))))))
(- (* 1/6 (pow eps 2)) 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)))))
(/ (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)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(- (* 2 (PI)) (PI))
(* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (cos x))))))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(sin (- (* 2 (PI)) (PI)))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (cos (- (* 2 (PI)) (PI)))))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (+ (cos (- (* 2 (PI)) (PI))) (* -1/2 (* eps (sin (- (* 2 (PI)) (PI))))))))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (+ (cos (- (* 2 (PI)) (PI))) (* eps (+ (* -1/2 (sin (- (* 2 (PI)) (PI)))) (* -1/6 (* eps (cos (- (* 2 (PI)) (PI))))))))))
(* 1/6 eps)
(* 1/6 (pow eps 3))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 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))))))
(/ (* 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 (* 2 (/ (PI) eps))) (/ (PI) eps)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (/ (sin (neg (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(sin (neg (+ (PI) (* -1 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)))))
(* -1 (* eps (- (* -1 (/ (- (* 2 (PI)) (PI)) eps)) 1)))
(* -1 (/ (sin (- (* 2 (PI)) (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(cos (- x (* -1 eps)))
(sin (- (* 2 (PI)) (+ (PI) (* -1 eps))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((* (+ (* (* 1/6 eps) eps) -1) eps) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ (* (* 1/6 eps) eps) -1) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (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)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/ -1 (pow (cos x) 2)) (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x)) (/ (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* (neg (neg (cos (+ eps x)))) (neg (cos x)))) (neg (neg (cos (+ eps x)))) (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* 1/6 eps) (cos (+ eps x)) (pow (cos x) 2) (+ (+ (PI) x) (PI)))
6.0ms	x	@	inf	((* (+ (* (* 1/6 eps) eps) -1) eps) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ (* (* 1/6 eps) eps) -1) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (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)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/ -1 (pow (cos x) 2)) (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x)) (/ (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* (neg (neg (cos (+ eps x)))) (neg (cos x)))) (neg (neg (cos (+ eps x)))) (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* 1/6 eps) (cos (+ eps x)) (pow (cos x) 2) (+ (+ (PI) x) (PI)))
6.0ms	x	@	-inf	((* (+ (* (* 1/6 eps) eps) -1) eps) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ (* (* 1/6 eps) eps) -1) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (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)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/ -1 (pow (cos x) 2)) (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x)) (/ (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* (neg (neg (cos (+ eps x)))) (neg (cos x)))) (neg (neg (cos (+ eps x)))) (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* 1/6 eps) (cos (+ eps x)) (pow (cos x) 2) (+ (+ (PI) x) (PI)))
5.0ms	eps	@	0	((* (+ (* (* 1/6 eps) eps) -1) eps) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ (* (* 1/6 eps) eps) -1) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (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)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/ -1 (pow (cos x) 2)) (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x)) (/ (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* (neg (neg (cos (+ eps x)))) (neg (cos x)))) (neg (neg (cos (+ eps x)))) (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* 1/6 eps) (cos (+ eps x)) (pow (cos x) 2) (+ (+ (PI) x) (PI)))
5.0ms	eps	@	-inf	((* (+ (* (* 1/6 eps) eps) -1) eps) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (sin (- (+ eps x) (+ (PI) x))) (+ (* (* 1/6 eps) eps) -1) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (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)) (+ (* (+ (* (/ (pow (sin x) 2) (pow (cos x) 2)) eps) eps) (sin x)) (/ (pow (sin x) 2) (cos x))) (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/ -1 (pow (cos x) 2)) (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x)) (/ (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* (neg (neg (cos (+ eps x)))) (neg (cos x)))) (neg (neg (cos (+ eps x)))) (sin (- (+ (+ (+ (PI) x) (PI)) eps) (+ (PI) x))) (* 1/6 eps) (cos (+ eps x)) (pow (cos x) 2) (+ (+ (PI) x) (PI)))

simplify181.0ms (1.2%)

Memory

4.4MiB live, 137.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	2876
1	1878	2704
2	7591	2585
0	8127	2462

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 121

Calls

Call 1

Inputs
(* -1 (/ (sin (- eps (PI))) (cos eps)))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- eps (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- eps (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- eps (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- eps (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- eps (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(sin (- eps (PI)))
(/ (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))))
(* 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))))))))
(- (* eps (pow x 2)) (* -1 eps))
(- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))) (* -1 eps))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))) (* -1 eps))
(* -1 eps)
(+ (* -1 eps) (* -1 (* eps (pow x 2))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* 1/3 eps))))))
(+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (* (pow x 2) (+ (* -1 eps) (+ (* 1/3 eps) (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))))))))
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2/3 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)) 1)
(- (+ eps (* 2 (PI))) (PI))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps)))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* x (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI))))) (pow (cos eps) 2))))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))))))))
(+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (* x (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (+ (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))) (* x (+ (* -1 (/ (* (sin eps) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (cos eps))) (* -1 (/ (* (pow (sin eps) 2) (sin (- (+ eps (* 2 (PI))) (PI)))) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin (- (+ eps (* 2 (PI))) (PI))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(sin (- (+ eps (* 2 (PI))) (PI)))
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)))
(* 2 (PI))
(+ x (* 2 (PI)))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (+ eps 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 x) (+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))) (/ (pow (sin x) 2) (cos x)))
(/ eps (pow (cos x) 2))
(* -1 (/ eps (pow (cos x) 2)))
(/ -1 (pow (cos x) 2))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (* (cos x) (cos (+ eps x)))))
(cos (+ eps x))
(pow (cos x) 2)
x
(* x (+ 1 (* 2 (/ (PI) x))))
(* -1 (/ (sin (- eps (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* -1 (/ (sin (- (+ eps (* 2 (PI))) (PI))) (* (cos x) (cos (- eps (* -1 x))))))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -2 (/ (PI) x)) 1)))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* -1 (/ (sin (neg (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (neg (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (neg (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (neg (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (neg (PI)))) (pow (cos x) 3))))) (cos x))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* eps (cos (neg (PI)))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* -1/2 (* eps (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* eps (+ (cos (neg (PI))) (* eps (+ (* -1/2 (sin (neg (PI)))) (* -1/6 (* eps (cos (neg (PI))))))))))
(- (* 1/6 (pow eps 2)) 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)))))
(/ (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)))
(/ (pow (sin x) 2) (cos x))
(+ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (cos x)))
(- (* 2 (PI)) (PI))
(* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2)))
(+ (* -1 (* eps (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))) (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))))
(+ (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* -1 (/ (* eps (* (sin x) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))) (cos x))))))
(+ (* -1 (/ (sin (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (* eps (+ (* -1 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* eps (+ (* -1 (* eps (- (* -1/6 (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (pow (cos x) 2))) (+ (* -1/2 (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (* 1/6 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3)))))))) (* -1 (/ (* (sin x) (- (/ (cos (- (* 2 (PI)) (PI))) (pow (cos x) 2)) (* -1 (/ (* (sin x) (sin (- (* 2 (PI)) (PI)))) (pow (cos x) 3))))) (cos x))))))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(sin (- (* 2 (PI)) (PI)))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (cos (- (* 2 (PI)) (PI)))))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (+ (cos (- (* 2 (PI)) (PI))) (* -1/2 (* eps (sin (- (* 2 (PI)) (PI))))))))
(+ (sin (- (* 2 (PI)) (PI))) (* eps (+ (cos (- (* 2 (PI)) (PI))) (* eps (+ (* -1/2 (sin (- (* 2 (PI)) (PI)))) (* -1/6 (* eps (cos (- (* 2 (PI)) (PI))))))))))
(* 1/6 eps)
(* 1/6 (pow eps 3))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (- 1/6 (/ 1 (pow eps 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))))))
(/ (* 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 (* 2 (/ (PI) eps))) (/ (PI) eps)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (/ (sin (neg (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(sin (neg (+ (PI) (* -1 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)))))
(* -1 (* eps (- (* -1 (/ (- (* 2 (PI)) (PI)) eps)) 1)))
(* -1 (/ (sin (- (* 2 (PI)) (+ (PI) (* -1 eps)))) (* (cos x) (cos (- x (* -1 eps))))))
(cos (- x (* -1 eps)))
(sin (- (* 2 (PI)) (+ (PI) (* -1 eps))))

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

rewrite179.0ms (1.2%)

Memory

-11.3MiB live, 177.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	334
0	91	325
1	394	294
2	3293	294
0	8220	286

Stop Event

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

Counts

21 → 420

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)) eps)
(.f64 eps (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (-.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps #s(literal 1/6 binary64)) (neg.f64 eps))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) #s(literal -1 binary64)))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 eps #s(literal 1/6 binary64)) (neg.f64 eps))))
(fma.f64 #s(literal -1 binary64) eps (.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) eps))
(fma.f64 #s(literal -1 binary64) eps (.f64 eps (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)))
(fma.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) eps (neg.f64 eps))
(fma.f64 eps #s(literal -1 binary64) (.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) eps))
(fma.f64 eps #s(literal -1 binary64) (.f64 eps (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) (neg.f64 eps))
(+.f64 (.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) eps) (neg.f64 eps))
(+.f64 (.f64 eps (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)) (neg.f64 eps))
(+.f64 (neg.f64 eps) (.f64 (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps) eps))
(+.f64 (neg.f64 eps) (.f64 eps (.f64 (*.f64 eps #s(literal 1/6 binary64)) eps)))
(/.f64 (/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)) eps)) (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))
(/.f64 (neg.f64 (/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)) eps)) (cos.f64 (+.f64 x eps)))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)) eps)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))
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(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 x)) x)) (cos.f64 (-.f64 (neg.f64 (neg.f64 x)) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (neg.f64 x)))) (cos.f64 (-.f64 x (neg.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) x)) (cos.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))
(-.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 (+.f64 (PI.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 (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 (neg.f64 (+.f64 (PI.f64) x))) (sin.f64 (neg.f64 (+.f64 (PI.f64) x)))))
(-.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 (+.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 (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) (neg.f64 (+.f64 (PI.f64) x))))))
(+.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 (+.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) (neg.f64 (neg.f64 x))))))
(+.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 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 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))) (-.f64 (PI.f64) (+.f64 (PI.f64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (-.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 (PI.f64) x) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (*.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (+.f64 (PI.f64) x))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (+.f64 (PI.f64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (+.f64 (PI.f64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (+.f64 (PI.f64) x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (+.f64 (PI.f64) x))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (PI.f64) x))
(-.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (+.f64 (PI.f64) x) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (+.f64 (PI.f64) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))
(+.f64 (+.f64 (PI.f64) (PI.f64)) x)
(+.f64 (/.f64 (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (+.f64 (PI.f64) x)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) (+.f64 (PI.f64) x))
(+.f64 x (+.f64 (PI.f64) (PI.f64)))

eval103.0ms (0.7%)

Memory: -2.5MiB live, 145.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 19 386 to 2 562 computations (86.8% saved)

prune62.0ms (0.4%)

Memory

21.3MiB live, 68.8MiB allocated; 1ms collecting garbage

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	449	19	468
Fresh	9	13	22
Picked	2	3	5
Done	1	4	5
Total	461	39	500

Accuracy

100.0%

Counts

500 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 eps #s(literal 1/6 binary64)) eps #s(literal -1 binary64)) eps)) (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	8.8%	(/.f64 (sin.f64 #s(approx (- (+ eps x) (+ (PI) x)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps)) eps))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	99.4%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (-.f64 (.f64 (.f64 eps #s(literal 1/6 binary64)) eps) #s(literal -1 binary64)))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
✓	99.4%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) eps #s(literal -1 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	49.0%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (.f64 #s(approx (+ ( (* 1/6 eps) eps) -1) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) eps) eps)) eps)) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	98.7%	(/.f64 #s(approx (sin (- (+ eps x) (+ (PI) x))) (neg.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	62.5%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))) (tan.f64 x))
	62.6%	(-.f64 (/.f64 (+.f64 #s(approx (tan eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps) #s(literal 1 binary64))) (tan.f64 x))
	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	6.1%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) eps)) (tan.f64 x))
	6.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	4.5%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	8.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	62.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x)))
	59.3%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan (+ (PI) x)) x))
	98.8%	(+.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)))
	99.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 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)))))) eps #s(literal 0 binary64))))
	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (-.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)))))))) eps #s(literal 0 binary64))))
	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) eps #s(literal 0 binary64))))
	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 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))))))) eps #s(literal 0 binary64))))
	97.8%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))) eps #s(literal 0 binary64))))
	97.2%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (cos x) 2) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps #s(literal 0 binary64))))
	96.9%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (cos x) 2) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) eps #s(literal 0 binary64))))
	97.2%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(approx (/ -1 (pow (cos x) 2)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 x x)) #s(literal 1 binary64)) x) x) #s(literal 1 binary64))) eps #s(literal 0 binary64))))
	96.4%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) #s(approx (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (neg.f64 eps))))
	97.3%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(approx (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal -17/45 binary64)) (.f64 (neg.f64 eps) #s(literal -2/3 binary64))) (.f64 x x) eps) (*.f64 x x) eps)))
	97.3%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(approx (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) eps) #s(literal -2/3 binary64) eps) (*.f64 x x) eps)))
	97.1%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(approx (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (fma.f64 (*.f64 x x) eps eps)))
✓	5.4%	#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(literal 0 binary64))
	99.2%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (neg.f64 eps) (/.f64 (fma.f64 (sin.f64 x) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) #s(literal -1/3 binary64) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) (tan.f64 x) #s(literal -1 binary64)))) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))) (cos.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (sin.f64 x)) (tan.f64 x) #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)))) (.f64 (tan.f64 x) (fma.f64 eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)))) eps eps))
	97.5%	#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))
✓	96.2%	#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))
	97.6%	#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 (fma.f64 #s(literal 2/3 binary64) x (.f64 #s(literal 1/3 binary64) eps)) eps) x #s(literal 1 binary64)) x eps) x)) eps eps))
	97.2%	#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 x) #s(literal 4/3 binary64) #s(literal 1 binary64)) x eps) x)) eps eps))
	97.3%	#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))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (+.f64 (tan.f64 x) (fma.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) #s(literal 1 binary64)) eps))

Compiler

Compiled 4 372 to 1 390 computations (68.2% saved)

regimes64.0ms (0.4%)

Memory

-1.1MiB live, 93.4MiB allocated; 14ms collecting garbage

Counts

75 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	eps
20.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.2%)

Memory

5.4MiB live, 51.2MiB allocated; 2ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
10.0ms	x
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes30.0ms (0.2%)

Memory

8.7MiB live, 54.2MiB allocated; 3ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	eps
9.0ms	x
9.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes65.0ms (0.4%)

Memory

-35.4MiB live, 24.4MiB allocated; 4ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

46.0ms	eps
9.0ms	x
8.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory

-27.5MiB live, 19.3MiB allocated; 1ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Calls

3 calls:

6.0ms	eps
5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
97.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.3%	1	`x`
97.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(approx (- 0 (+ (* (/ -1 (pow (cos x) 2)) eps) 0)) (fma.f64 (*.f64 x x) eps 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
97.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

-37.7MiB live, 9.0MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) #s(literal 0 binary64))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) #s(literal 1 binary64)) eps))
#s(approx (/ (sin (- (+ eps x) (+ (PI) x))) (* (cos (+ eps x)) (neg (cos x)))) (-.f64 #s(literal 0 binary64) #s(approx (+ (* (/ -1 (pow (cos x) 2)) eps) 0) (neg.f64 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)) (.f64 #s(approx (+ ( (+ (* (pow (tan x) 2) eps) eps) (tan x)) (+ (* (tan x) (tan x)) 1)) #s(literal 1 binary64)) 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
96.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
96.4%	1	`x`
96.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify54.0ms (0.3%)

Memory

3.2MiB live, 48.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	327
1	191	324
2	440	304
3	1362	287
4	5807	283

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.1s (7.5%)

Memory

35.8MiB live, 755.1MiB allocated; 61ms 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	823	5345
1	2644	5054
0	9001	4711
0	157	970
1	488	910
2	1845	849
0	8454	797
0	60	334
0	91	325
1	394	294
2	3293	294
0	8220	286
0	640	3638
1	2223	3337
2	7995	3337
0	8011	3175
0	63	652
0	124	622
1	579	484
2	5003	484
0	8108	466
0	535	2876
1	1878	2704
2	7591	2585
0	8127	2462

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
1×	node limit
1×	iter limit

Compiler

Compiled 331 to 110 computations (66.8% saved)

preprocess138.0ms (0.9%)

Memory: -28.4MiB live, 66.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 694 to 244 computations (64.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze53.0ms (0.3%)

sample6.7s (43.6%)

explain135.0ms (0.9%)

preprocess278.0ms (1.8%)

eval0.0ms (0%)

prune32.0ms (0.2%)

simplify247.0ms (1.6%)

localize82.0ms (0.5%)

series15.0ms (0.1%)

simplify158.0ms (1%)

rewrite643.0ms (4.2%)

eval27.0ms (0.2%)

prune24.0ms (0.2%)

simplify259.0ms (1.7%)

localize973.0ms (6.3%)

series147.0ms (1%)

simplify171.0ms (1.1%)

rewrite242.0ms (1.6%)

eval491.0ms (3.2%)

prune63.0ms (0.4%)

simplify190.0ms (1.2%)

localize938.0ms (6.1%)

series78.0ms (0.5%)

simplify165.0ms (1.1%)

rewrite267.0ms (1.7%)

eval205.0ms (1.3%)

prune39.0ms (0.3%)

simplify117.0ms (0.8%)

localize481.0ms (3.1%)

series57.0ms (0.4%)

simplify181.0ms (1.2%)

rewrite179.0ms (1.2%)

eval103.0ms (0.7%)

prune62.0ms (0.4%)

regimes64.0ms (0.4%)

regimes32.0ms (0.2%)

regimes30.0ms (0.2%)

regimes65.0ms (0.4%)

regimes18.0ms (0.1%)

regimes17.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

simplify54.0ms (0.3%)

derivations1.1s (7.5%)

preprocess138.0ms (0.9%)

end0.0ms (0%)

Profiling