Metrics for 2tan (problem 3.3.2)

analyze41.0ms (0.3%)

Memory

-25.1MiB live, 90.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.8s (39.8%)

Memory

-119.3MiB live, 6 875.8MiB allocated

Samples

3.1s	25 882×	0	invalid
543.0ms	5 498×	0	valid
479.0ms	2 758×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

const: 947.0ms (30.3% of total)

ival-tan: 584.0ms (18.7% of total)

ival-fabs: 289.0ms (9.2% of total)

ival-<=: 271.0ms (8.7% of total)

ival-mult: 266.0ms (8.5% of total)

ival-add: 218.0ms (7% of total)

ival-sub: 168.0ms (5.4% of total)

ival-<: 163.0ms (5.2% of total)

ival-and: 92.0ms (2.9% of total)

adjust: 76.0ms (2.4% of total)

exact: 42.0ms (1.3% of total)

ival-assert: 11.0ms (0.4% of total)

Bogosity

preprocess31.0ms (0.2%)

Memory

4.8MiB live, 41.1MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
68×	`cancel-sign-sub-inv`
64×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

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

Calls

Call 1

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

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

explain105.0ms (0.7%)

Memory

-20.9MiB live, 183.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
225	6	(-2.882811203987059e-129 1.5955952455467284e-131)	5	(-1.076107965451668e-175 1.4867591914498493e-177)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	0	-	0	-	`(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	226	9
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	223	5
-	6	22

Precision

0.9737991266375546

Recall

0.9780701754385965

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	223	5	0
-	6	4	18

Precision?

0.957983193277311

Recall?

1.0

Freqs

test

number	freq
0	27
1	229

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	172×	1	valid
20.0ms	338×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-tan: 17.0ms (61.1% of total)

adjust: 4.0ms (14.4% of total)

ival-add: 3.0ms (10.8% of total)

ival-sub: 3.0ms (10.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.2%)

Memory

12.1MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	62.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

9.0ms	86×	1	valid
8.0ms	169×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-tan: 5.0ms (50.7% of total)

adjust: 2.0ms (20.3% of total)

ival-add: 2.0ms (20.3% of total)

ival-sub: 1.0ms (10.1% of total)

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

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

series15.0ms (0.1%)

Memory

-21.2MiB live, 17.2MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor 0 eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) (taylor inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) (taylor -inf eps) (#s(alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (patch (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin eps) (cos eps)) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (taylor -inf x) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (+ eps x)) (cos (+ eps x))) (taylor inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (taylor -inf eps) (#s(alt (tan.f64 (+.f64 x eps)) (patch (tan.f64 (+.f64 x eps)) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	0	(- (tan (+ x eps)) (tan x))
2.0ms	eps	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

simplify422.0ms (2.9%)

Memory

-7.9MiB live, 559.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
5 316×	`lower-*.f64`
5 316×	`lower-*.f32`
2 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 77

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)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ 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)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (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)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
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 x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

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

rewrite325.0ms (2.2%)

Memory

-7.8MiB live, 351.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 404×	`lower-*.f64`
4 404×	`lower-*.f32`
3 318×	`lower-/.f64`
3 318×	`lower-/.f32`
3 264×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 259

Calls

Call 1

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

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

eval39.0ms (0.3%)

Memory: 14.9MiB live, 91.5MiB allocated
Compiler: Compiled 8 701 to 983 computations (88.7% saved)

prune60.0ms (0.4%)

Memory

11.6MiB live, 131.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	317	19	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	20	337

Accuracy

100.0%

Counts

337 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
▶	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	36.0%	(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	34.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	62.5%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)))
	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)))
▶	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
	61.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Compiler

Compiled 793 to 418 computations (47.3% saved)

simplify471.0ms (3.2%)

Memory

-37.1MiB live, 383.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
✓	cost-diff	16128	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓	cost-diff	0	#s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) 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 x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
✓	cost-diff	0	(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
✓	cost-diff	960	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
✓	cost-diff	25344	(fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))

Rules

14 514×	`lower-fma.f32`
14 506×	`lower-fma.f64`
5 196×	`lower-*.f32`
5 186×	`lower-*.f64`
1 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	366
0	83	332
1	147	330
2	294	327
3	693	327
4	2308	318
5	5334	312
0	8060	303

Stop Event

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

Calls

Call 1

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

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

localize216.0ms (1.5%)

Memory

30.0MiB live, 186.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	62.1%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64)))
✓	accuracy	54.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	62.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
✓	accuracy	62.6%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	97.6%	#s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	accuracy	62.6%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	accuracy	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))

Samples

82.0ms	90×	1	valid
70.0ms	165×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 325 to 44 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 28.0ms (28.6% of total)

ival-div: 20.0ms (20.4% of total)

ival-add: 8.0ms (8.2% of total)

adjust: 7.0ms (7.1% of total)

ival-tan: 6.0ms (6.1% of total)

ival-pow2: 6.0ms (6.1% of total)

ival-cos: 5.0ms (5.1% of total)

ival-pow: 5.0ms (5.1% of total)

const: 4.0ms (4.1% of total)

ival-sin: 4.0ms (4.1% of total)

ival-sub: 3.0ms (3.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series283.0ms (1.9%)

Memory

-15.2MiB live, 97.4MiB allocated

Counts

24 → 504

Calls

Call 1

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

Outputs
#s(alt (* eps x) (taylor 0 x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ eps x)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps))))))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (patch (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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Calls

126 calls:

Time	Variable		Point	Expression
85.0ms	x	@	inf	(+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))
60.0ms	eps	@	-inf	(/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x))))
9.0ms	eps	@	inf	(* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))
6.0ms	eps	@	0	(/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x))))
4.0ms	eps	@	-inf	(+ (* eps (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)

simplify400.0ms (2.7%)

Memory

-8.9MiB live, 549.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 648×	`lower-fma.f64`
9 648×	`lower-fma.f32`
7 860×	`lower-*.f64`
7 860×	`lower-*.f32`
4 790×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	14266
1	2482	13486
0	8277	13159

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 495

Calls

Call 1

Inputs
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))
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(/ 1 x)
(/ (+ 1 (* -1 (/ (* x (cos eps)) (sin eps)))) x)
(/ (+ 1 (* x (- (* x (- (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)) 1/3)) (/ (cos eps) (sin eps))))) x)
(/ (+ 1 (* x (- (* x (- (+ (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps)))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2))) 1/3)) (/ (cos eps) (sin eps))))) x)
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(- (/ (cos x) (sin x)) (/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x)))))
(/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(* eps (+ (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (+ (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (+ (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))) (* eps (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))))))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps)))))
(/ (cos eps) (sin eps))
(+ (* -1 (/ (* x (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (pow (sin eps) 2))) (/ (cos eps) (sin eps)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos eps) (* (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (sin eps))) (+ (* -1 (/ (* (pow (cos eps) 2) (+ 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))))))) (pow (sin eps) 2))) (* -1 (/ (* (pow (cos eps) 2) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 2))))))) (+ (* -1 (/ (* (pow (cos eps) 3) (pow (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) 2)) (pow (sin eps) 3))) (/ (* (cos eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (sin eps))))) (/ (* (pow (cos eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (sin eps) 2)))) (/ (cos eps) (sin eps)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos (- eps (* -1 x))) (sin (- eps (* -1 x))))
(/ (cos x) (sin x))
(+ (* -1 (/ (* eps (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (/ (cos x) (sin x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))))) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (/ (* (pow (cos x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (sin x) 2)))) (/ (cos x) (sin x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (+ eps x)) (sin (+ eps x)))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))
(/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))

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

rewrite413.0ms (2.8%)

Memory

40.1MiB live, 552.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 556×	`lower-fma.f32`
5 548×	`lower-fma.f64`
4 030×	`lower-/.f32`
4 012×	`lower-/.f64`
3 880×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	279
0	83	238
1	338	213
2	2680	213
0	9222	207

Stop Event

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

Counts

24 → 1 161

Calls

Call 1

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

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

eval280.0ms (1.9%)

Memory: -13.7MiB live, 411.3MiB allocated
Compiler: Compiled 68 393 to 4 128 computations (94% saved)

prune236.0ms (1.6%)

Memory

12.2MiB live, 406.4MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	2 129	18	2 147
Fresh	9	5	14
Picked	2	3	5
Done	0	1	1
Total	2 140	27	2 167

Accuracy

100.0%

Counts

2 167 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))))
	61.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps))) (neg.f64 (tan.f64 x)))
	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ x eps) (fma.f64 eps (/.f64 x eps) eps)))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	61.6%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ x eps)) (tan x))) (fma.f64 x (fma.f64 x (neg.f64 (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
▶	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
▶	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
▶	61.1%	(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
	61.2%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (tan.f64 (+.f64 x eps)))
	98.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 #s(approx (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 #s(approx (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 #s(approx (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) x) #s(literal 1 binary64)) eps))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x (+.f64 eps x))) eps))
▶	97.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 100 to 586 computations (46.7% saved)

simplify268.0ms (1.8%)

Memory

7.4MiB live, 298.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 x)
✓	cost-diff	0	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	cost-diff	0	(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))
✓	cost-diff	7424	(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(sin.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	#s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x))
✓	cost-diff	0	(fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps)
✓	cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps))
✓	cost-diff	128	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
✓	cost-diff	6272	(fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x))
✓	cost-diff	12928	(+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))

Rules

8 216×	`lower-fma.f32`
8 210×	`lower-fma.f64`
3 736×	`lower-*.f32`
3 728×	`lower-*.f64`
2 150×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	380
0	83	371
1	127	367
2	215	363
3	512	363
4	1256	351
5	2079	339
6	3433	339
7	4621	339
8	6352	339
0	8121	327

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (1.3%)

Memory

12.4MiB live, 202.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	100.0%	(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	accuracy	100.0%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))))
✓	accuracy	62.6%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	62.6%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps)
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps))
✓	accuracy	52.7%	#s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x))
✓	accuracy	100.0%	(*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))

Samples

63.0ms	88×	1	valid
58.0ms	167×	0	valid
8.0ms	1×	3	valid

Compiler

Compiled 324 to 47 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 22.0ms (21.6% of total)

ival-tan: 14.0ms (13.7% of total)

ival-mult: 14.0ms (13.7% of total)

ival-add: 11.0ms (10.8% of total)

adjust: 9.0ms (8.8% of total)

ival-pow2: 9.0ms (8.8% of total)

ival-sub: 7.0ms (6.9% of total)

ival-cos: 5.0ms (4.9% of total)

ival-pow: 5.0ms (4.9% of total)

ival-sin: 4.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory

-0.1MiB live, 78.7MiB allocated

Counts

26 → 576

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* eps x)) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ eps x))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (taylor 0 x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) (taylor 0 eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (taylor inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (taylor inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (taylor inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3)))))) (taylor inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (taylor -inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))) (taylor -inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))) (taylor -inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))) (taylor -inf eps) (#s(alt (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (patch (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 5/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (patch (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (patch (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (patch (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (patch (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (sin eps)) (cos eps)) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) (taylor 0 x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf x) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* eps (sin x)) (cos x)) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))) (taylor 0 eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) (taylor -inf eps) (#s(alt (.f64 (tan.f64 x) (tan.f64 eps)) (patch (.f64 (tan.f64 x) (tan.f64 eps)) #<representation binary64>) () ())) ())

Calls

144 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	(- (tan (+ x eps)) (tan x))
5.0ms	eps	@	inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
3.0ms	x	@	inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
2.0ms	eps	@	-inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
2.0ms	x	@	-inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))

simplify494.0ms (3.4%)

Memory

0.2MiB live, 557.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 760×	`lower-fma.f64`
11 760×	`lower-fma.f32`
7 566×	`lower-*.f64`
7 566×	`lower-*.f32`
3 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	12689
1	2217	12241
2	7507	12125
0	8543	11713

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 566

Calls

Call 1

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

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

rewrite376.0ms (2.6%)

Memory

-15.7MiB live, 498.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 140×	`lower-/.f32`
4 128×	`lower-/.f64`
3 208×	`lower-fma.f32`
3 202×	`lower-fma.f64`
3 164×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	340
0	83	312
1	327	273
2	2972	273
0	8446	273

Stop Event

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

Counts

26 → 1 014

Calls

Call 1

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

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

eval324.0ms (2.2%)

Memory: 21.8MiB live, 501.5MiB allocated
Compiler: Compiled 53 548 to 4 783 computations (91.1% saved)

prune249.0ms (1.7%)

Memory

-5.3MiB live, 468.4MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	1 965	17	1 982
Fresh	8	10	18
Picked	2	3	5
Done	0	4	4
Total	1 975	34	2 009

Accuracy

100.0%

Counts

2 009 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
▶	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ x eps)) (tan x))) (fma.f64 x (fma.f64 x (neg.f64 (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
✓	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)))) (tan.f64 x))
▶	61.8%	(-.f64 (/.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
	61.8%	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)) (tan.f64 x))
	61.6%	(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) #s(literal -1 binary64)) (tan.f64 x))
	59.8%	(.f64 (-.f64 (/.f64 #s(approx (/ 1 (tan x)) (/.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
	61.2%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 (+.f64 x eps))))) #s(literal 1 binary64)) (tan.f64 x))
	5.4%	(*.f64 (-.f64 #s(approx (/ (/ 1 (tan x)) (/ 1 (tan (+ x eps)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (tan.f64 x))
▶	98.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
▶	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 #s(approx (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) x) x)) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) (.f64 eps #s(literal 4/3 binary64))) #s(literal 1 binary64)) eps))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x (+.f64 eps x))) eps))
✓	97.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(approx (pow (tan x) 2) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 62/315 binary64)) #s(literal 17/45 binary64))) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(approx (pow (tan x) 2) (.f64 x x)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 4/3 binary64) (.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) eps))) #s(literal 1 binary64)) eps))
▶	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps))

Compiler

Compiled 1 344 to 750 computations (44.2% saved)

simplify316.0ms (2.1%)

Memory

11.1MiB live, 342.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
✓	cost-diff	0	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
✓	cost-diff	0	(sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)))
✓	cost-diff	0	(/.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps))) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(-.f64 (/.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	cost-diff	1152	(fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(cos.f64 (+.f64 x eps))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))))
✓	cost-diff	0	#s(approx (+ (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps)
✓	cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps))
✓	cost-diff	0	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	128	(fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) eps)
✓	cost-diff	12928	(fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps))

Rules

14 126×	`lower-fma.f32`
14 114×	`lower-fma.f64`
4 070×	`lower-*.f32`
4 060×	`lower-*.f64`
2 358×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	442
0	102	425
1	185	417
2	415	377
3	1203	361
4	3502	361
5	7985	361
0	8052	349

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

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

localize259.0ms (1.8%)

Memory

-9.7MiB live, 298.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓	accuracy	98.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps))
✓	accuracy	99.9%	(cos.f64 (+.f64 x eps))
✓	accuracy	99.8%	(sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)))
✓	accuracy	99.5%	(fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)
✓	accuracy	62.7%	(-.f64 (/.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	accuracy	99.8%	(sin.f64 (+.f64 x eps))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	97.6%	#s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
✓	accuracy	62.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))))
✓	accuracy	100.0%	(.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps)
✓	accuracy	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps))
✓	accuracy	97.5%	#s(approx (+ (+ (* (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))
✓	accuracy	100.0%	(pow.f64 (tan.f64 x) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
✓	accuracy	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)))

Samples

107.0ms	165×	0	valid
69.0ms	88×	1	valid
5.0ms	3×	5	exit

Compiler

Compiled 320 to 56 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 70.0ms (46.4% of total)

ival-div: 17.0ms (11.3% of total)

ival-add: 15.0ms (9.9% of total)

adjust: 11.0ms (7.3% of total)

ival-pow2: 9.0ms (6% of total)

ival-sin: 8.0ms (5.3% of total)

ival-tan: 5.0ms (3.3% of total)

ival-cos: 5.0ms (3.3% of total)

ival-sub: 4.0ms (2.7% of total)

const: 4.0ms (2.7% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

22.6MiB live, 59.9MiB allocated

Counts

25 → 504

Calls

Call 1

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

Outputs
#s(alt eps (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* (pow eps 2) x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* x (+ (* eps x) (pow eps 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
#s(alt (+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) (patch (fma.f64 (fma.f64 (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())) ())
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#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos x) 2) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (+ (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) (* 1 eps))
2.0ms	x	@	-inf	(+ (* (+ (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) (* 1 eps))
1.0ms	eps	@	0	(+ (* (+ (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) (* 1 eps))
1.0ms	eps	@	0	(+ (* eps (/ (pow (sin x) 2) (pow (cos x) 2))) eps)
1.0ms	eps	@	-inf	(+ (* (+ (* (* (+ (pow (tan x) 2) 1) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) eps) (* 1 eps))

simplify434.0ms (3%)

Memory

-18.2MiB live, 537.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 928×	`lower-fma.f64`
8 928×	`lower-fma.f32`
6 518×	`lower-*.f64`
6 518×	`lower-*.f32`
3 196×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	595	10397
1	1945	9805
2	6723	9709
0	8363	9362

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 475

Calls

Call 1

Inputs
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ eps (* eps (+ (/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 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 (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (/ (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 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) (+ (/ 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) (+ (/ 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) (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(* eps x)
(* x (+ eps x))
(* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))
(* x (+ eps (* x (+ 1 (* x (- (+ (* 2/3 x) (* 5/6 eps)) (* -1/2 eps)))))))
(+ (/ (* eps (* (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)))
(+ (/ (* 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)))
(+ (/ (* 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)))
(+ (/ (* 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)))
(/ (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)))
(+ (/ (* 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)))
(/ (* 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)))) (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)))))
(/ (* eps (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* -1 (* eps (+ (* -1 (/ (* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (cos x))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(/ (sin 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)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ 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)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ 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)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (* (pow eps 2) (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
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(* eps (- (+ 1 (/ (* eps (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (+ (/ (* eps (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x)))))) (cos x)) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (+ (* eps (+ (/ (* eps (* (sin x) (+ (* -1 (/ (* (pow (cos x) 2) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 2))) (+ (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (sin x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (/ (* (sin x) (+ (* -1 (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (pow (sin x) 2))) (/ (* (pow (cos x) 3) (* (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (pow (sin x) 3)))))) (cos x))))))) (cos x)) (/ (* (sin x) (+ (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (/ (* (cos x) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (sin x)) (/ (* (sin x) (+ (* -1 (/ (* (cos x) (* (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (sin x))) (+ (* -1 (/ (* (pow (cos x) 2) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (pow (sin x) 2))) (* -1 (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))))) (cos x))))) (cos x)))) (/ (* (sin x) (+ (/ (* (sin x) (+ (* -1 (/ (* (pow (cos x) 3) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 3))) (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (cos x)) (/ (* (pow (cos x) 2) (pow (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) 2)) (pow (sin x) 2)))) (cos x))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (* (sin (+ eps x)) (- (/ (cos x) (sin x)) (/ (cos (+ eps x)) (sin (+ eps x)))))) (* (cos x) (cos (+ eps x))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (* (sin x) (* (sin (- x (* -1 eps))) (- (/ (cos x) (sin x)) (/ (cos (- x (* -1 eps))) (sin (- x (* -1 eps))))))) (* (cos x) (cos (- x (* -1 eps)))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
(* -1 (* eps (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (* -1/3 eps) (* -1 eps))))))
(+ eps (* (pow x 2) (+ eps (* (pow x 2) (- (+ (* -1/3 eps) (* (pow x 2) (- (* 2/45 eps) (+ (* -1 (- (* -1/3 eps) (* -1 eps))) (* 1/3 eps))))) (* -1 eps))))))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(+ eps (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
x
(* x (+ 1 (* 5/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* 61/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 5/6 (* (pow x 2) (+ 61/120 (* 277/1008 (pow x 2))))))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (sin x) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
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 x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(sin eps)
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin (- eps (* -1 x)))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (+ eps x))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
(sin (- x (* -1 eps)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)

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

rewrite362.0ms (2.5%)

Memory

1.9MiB live, 523.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 458×	`lower-fma.f32`
4 446×	`lower-fma.f64`
3 622×	`lower-*.f32`
3 612×	`lower-*.f64`
3 534×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	355
0	102	348
1	423	311
2	3446	287
0	8572	281

Stop Event

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

Counts

25 → 524

Calls

Call 1

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

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

eval178.0ms (1.2%)

Memory: 33.7MiB live, 292.9MiB allocated
Compiler: Compiled 35 173 to 2 468 computations (93% saved)

prune189.0ms (1.3%)

Memory

-24.7MiB live, 381.8MiB allocated

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	1 183	11	1 194
Fresh	5	17	22
Picked	3	2	5
Done	1	6	7
Total	1 192	36	1 228

Accuracy

100.0%

Counts

1 228 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 #s(approx (tan x) (fma.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))) x))))
	62.4%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	62.5%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	31.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	62.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))))
	97.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ x eps)) (tan x))) (fma.f64 x (fma.f64 x (neg.f64 (fma.f64 (cos.f64 eps) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)))) #s(literal -1 binary64)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
✓	62.6%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	62.4%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 #s(approx (+ x eps) (fma.f64 (neg.f64 eps) (/.f64 x (neg.f64 eps)) eps)))) (tan.f64 x))
	61.8%	(-.f64 (/.f64 (sin.f64 #s(approx (+ x eps) #s(approx (+ (* (neg eps) (/ x (neg eps))) eps) (fma.f64 eps (/.f64 x eps) eps)))) (cos.f64 (+.f64 x eps))) (tan.f64 x))
✓	62.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	60.9%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)))
	61.8%	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 (+.f64 x eps)) #s(literal -1 binary64)) (tan.f64 x))
	61.6%	(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) #s(literal -1 binary64)) (tan.f64 x))
	59.8%	(.f64 (-.f64 (/.f64 #s(approx (/ 1 (tan x)) (/.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) #s(literal 1 binary64)) (tan.f64 x))
	5.4%	(*.f64 (-.f64 #s(approx (/ (/ 1 (tan x)) (/ 1 (tan (+ x eps)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (tan.f64 x))
	98.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps))
	98.9%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps eps)) (cos.f64 x))) eps))
	97.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 2/3 binary64)) #s(literal 1 binary64)) x) x)) eps))
	97.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) eps))
	97.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/45 binary64) #s(literal 2/3 binary64)) #s(literal 1 binary64))))) eps))
	97.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (fma.f64 eps #s(approx (/ (pow (sin x) 2) (pow (cos x) 2)) (*.f64 x x)) eps))
	98.6%	#s(approx (/ (- (* 1 (/ 1 (tan x))) (* (/ 1 (tan (+ x eps))) 1)) (* (/ 1 (tan (+ x eps))) (/ 1 (tan x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (+.f64 #s(approx (pow (tan x) 2) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 62/315 binary64) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (*.f64 #s(literal 1 binary64) eps)))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (.f64 (+.f64 #s(approx (pow (tan x) 2) (.f64 x x)) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (*.f64 #s(literal 1 binary64) eps)))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (* (+ (pow (tan x) 2) 1) (sin x)) (fma.f64 x (.f64 x (.f64 x #s(literal 5/6 binary64))) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps (*.f64 #s(literal 1 binary64) eps)))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 x (fma.f64 x (fma.f64 x (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps))) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 x (+.f64 eps x))) eps))
✓	97.4%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(approx (+ (* (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (/ eps (cos x))) (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 eps x)) eps))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (/.f64 eps (cos.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 277/1008 binary64) #s(literal 61/120 binary64)) #s(literal 5/6 binary64)) (.f64 x (.f64 x x)) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 61/120 binary64) #s(literal 5/6 binary64)) x) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (fma.f64 #s(approx (+ ( (sin x) (pow (tan x) 2)) (sin x)) (fma.f64 x (.f64 #s(literal 5/6 binary64) (.f64 x x)) x)) (/.f64 eps (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))
	97.6%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 #s(approx (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 eps #s(literal 4/3 binary64) (.f64 x #s(literal 2/3 binary64))) #s(literal 1 binary64)) eps))) #s(literal 1 binary64)) eps))
✓	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ (+ ( (+ (* (sin x) (pow (tan x) 2)) (sin x)) (/ eps (cos x))) (pow (tan x) 2)) 1) #s(literal 1 binary64)) eps))

Compiler

Compiled 2 051 to 692 computations (66.3% saved)

regimes51.0ms (0.3%)

Memory

30.5MiB live, 69.1MiB allocated

Counts

66 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms	eps
16.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes49.0ms (0.3%)

Memory

-0.5MiB live, 79.0MiB allocated

Counts

60 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	eps
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes45.0ms (0.3%)

Memory

-15.4MiB live, 60.5MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
15.0ms	x
13.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms	eps
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 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-26.0MiB live, 12.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.1b remaining (-3.8%)

Threshold costs -0.1b (-3.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`eps`
97.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify18.0ms (0.1%)

Memory

-42.4MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	289
1	84	289

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (8.9%)

Memory

27.2MiB live, 731.1MiB allocated

Rules

14 592×	`lower-fma.f64`
14 592×	`lower-fma.f32`
11 760×	`lower-fma.f64`
11 760×	`lower-fma.f32`
9 648×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	50	16
2	402	16
3	6117	16
0	8095	16
0	45	279
0	83	238
1	338	213
2	2680	213
0	9222	207
0	595	10397
1	1945	9805
2	6723	9709
0	8363	9362
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	61	355
0	102	348
1	423	311
2	3446	287
0	8572	281
0	683	12689
1	2217	12241
2	7507	12125
0	8543	11713
0	764	14266
1	2482	13486
0	8277	13159
0	51	340
0	83	312
1	327	273
2	2972	273
0	8446	273

Stop Event

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

Compiler

Compiled 301 to 149 computations (50.5% saved)

preprocess214.0ms (1.5%)

Memory: -4.9MiB live, 154.5MiB allocated
Compiler: Compiled 294 to 124 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18

analyze41.0ms (0.3%)

sample5.8s (39.8%)

preprocess31.0ms (0.2%)

explain105.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize29.0ms (0.2%)

series15.0ms (0.1%)

simplify422.0ms (2.9%)

rewrite325.0ms (2.2%)

eval39.0ms (0.3%)

prune60.0ms (0.4%)

simplify471.0ms (3.2%)

localize216.0ms (1.5%)

series283.0ms (1.9%)

simplify400.0ms (2.7%)

rewrite413.0ms (2.8%)

eval280.0ms (1.9%)

prune236.0ms (1.6%)

simplify268.0ms (1.8%)

localize188.0ms (1.3%)

series72.0ms (0.5%)

simplify494.0ms (3.4%)

rewrite376.0ms (2.6%)

eval324.0ms (2.2%)

prune249.0ms (1.7%)

simplify316.0ms (2.1%)

localize259.0ms (1.8%)

series41.0ms (0.3%)

simplify434.0ms (3%)

rewrite362.0ms (2.5%)

eval178.0ms (1.2%)

prune189.0ms (1.3%)

regimes51.0ms (0.3%)

regimes49.0ms (0.3%)

regimes45.0ms (0.3%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

simplify18.0ms (0.1%)

soundness1.3s (8.9%)

preprocess214.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	18	18
3	24	18
4	32	18
5	47	18
6	80	18
7	107	18
8	151	18
9	166	18
10	174	18
0	174	18